Which statements about the line that passes through (−2, 0) and (2, −4) aretrue? Select all correct statements. The slope of the line is 1. The line intersects the y-axis at (0, −2). The equation of the line is y = −x − 2 The line intersects the x-axis at (−2,

Answers

Answer 1

The correct options for the line are-

B. The line intersects the y-axis at (0, −2).C. The equation of the line is y = −x − 2.D. The line intersects the x-axis at (−2, 0).Define the equation of the line?The formula for a straight line reads y=mx+c where c is the height from which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

Coordinate are: (−2, 0) and (2, −4)

Slope m = y2 - y1 / x2 - x1

m = (-4 + 0)/(2 + 2)

m = -4/4 = -1

Slope is -1 , option A incorrect.

For the y-intercept

Use point (-2, 0) and slope m = -1

0 = -1(-2) + b

b = -2

As, y-intercept is -2.  

Option B correct.

Find equation of the line.

y = mx+ b

y = -x + (-2)

y = -x - 2

Thus, equation of the line is y = −x − 2.

Option C is also correct.

Find the x-intercept.

if y = 0

0 = -x - 2

x = -2

Thus, line intersects the x-axis at (−2, 0).

The option D is also correct.

To know more about the equation of the line, here

https://brainly.com/question/18831322

#SPJ1

The complete question is-

Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.

A. The slope of the line is 1.

B. The line intersects the y-axis at (0, −2).

C. The equation of the line is y = −x − 2.

D. The line intersects the x-axis at (−2, 0).


Related Questions

How many formulas are there in quadratic equation class 10?

Answers

There are three formulas that can be used to solve quadratic equations in class 10.

The first formula is the Quadratic Formula, which is used to solve any quadratic equation of the form ax² + bx + c = 0. This formula is used to find the two values of x that are the solutions to the equation. The second formula is the Completing the Square formula, which is used to solve any quadratic equation of the form ax² + bx + c = 0. This formula is used to rewrite the equation in the form (x + h)² = p , and then solve for the value of x. The third formula is the Factorization Method, which is used to solve any quadratic equation of the form ax² + bx + c = 0. This method is used to factor the equation into two linear factors, and then use either the Quadratic Formula or the Completing the Square formula to find the two values of x that are the solutions to the equation. All three of these formulas can be used to solve any quadratic equation of the form ax² + bx + c = 0.

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ4

40-32 dived by 8+5-2

Answers

39

40-32÷8+5-2

40-4+3

40-1

39

Can a triangle have the sides 5'7 12?

Answers

It is not possible to construct a triangle whose sides are 5 cm 7 cm and 12 cm because the sum of two sides(5 cm and 7 cm) are equal to the third sides(12 cm). Two equal sides cannot form a triangle.

In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 7 cm and 12 cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 5 and 7.

7 + 5 = 12

12 = 12

Now we add 5 and 12

5 + 12 > 7

17 > 7

Now we add 7 and 12

7 + 12 > 5

19 > 5

It is not possible to construct a triangle whose sides are 5 cm 7 cm and 12 cm because the sum of two sides(5 cm and 7 cm) are equal to the third sides(12 cm). Two equal sides cannot form a triangle.

To learn more about construct a triangle link is here

brainly.com/question/26784196

#SPJ4

The complete question is:

Can a triangle have the sides 5 cm 7 cm and 12 cm?

Find the slope of that passes through (5,2) and (8, 9)

Answers

Answer:

slope = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (8, 9 )

m = [tex]\frac{9-2}{8-5}[/tex] = [tex]\frac{7}{3}[/tex]

What value(s) of b will cause 2x2 + bx + 128 = 0 to have one real solution? Select all that apply. A. b = 32 B. b = −50 C. b = −20 D. b = –32

Answers

The value of b can be -32 or +32 to ensure that the equation has only one true solution.

What is discriminant of the equation?

The discriminant is the quadratic formula section behind the square root symbol: b2-4ac. The discriminant indicates whether there are two solutions, one solution, or none at all. The "discriminant" is the argument (that is, the contents) of the square root, which is the equation b2 4ac, because by utilizing its value, you may "discriminate" between (that is, determine the difference between) the various solution types.

Here,

The discriminant of the equation is ...

d = b² -4ac

d = b² -4(2)(128)

d = b² -1024

In order for there to be one real solution, we must have d=0. So ...

0 = b² -1024

1024 = b²

±√1024 = ±32 = b

The value of b can be -32 or +32 to cause the equation to have one real solution.

To know more about discriminant of the equation,

https://brainly.com/question/9970081

#SPJ1

What are the stakeholders in a stakeholder analysis?

Answers

The stakeholders in a stakeholder analysis can include both internal stakeholders and external stakeholders.

Stakeholders are a group that expresses interest in the firm and whose activities, whether professional or personal, have an impact on its operations. The process of identifying and evaluating the significance of the important individuals or groups that are impacted by or have the potential to influence a project's or decision's result is known as stakeholder analysis.

A stakeholder analysis may include both internal and external stakeholders, such as community members, customers, suppliers, regulators, and government organisations. Internal stakeholders in a stakeholder study take into account employees and management. Depending on the project's nature, different parties may be involved, and the list of stakeholders may need to be updated as the project moves along.

Read more about stakeholders on:

https://brainly.com/question/24432365

#SPJ4

Please please please help! 20+ points! Thank you :)

Answers

Answer:

CD = 27

Step-by-step explanation:

2(4x - 1) + 2(3x + 3) = 116

8x - 2 + 6x + 6 = 116

14x + 4 = 116

14x = 112

x = 8

3(8) + 3

= 24 + 3

= 27

is -(5/12) = to 5/-12

Answers

Answer:

Step-by-step explanation:

-5/12 = 5/-12

yes

What are the explicit equation and domain for an arithmetic sequence with a first term of 3 and a second term of 5?

Group of answer choices

an = 3 + 2(n − 1); all integers where n ≥ 0

an = 3 + 6(n − 1); all integers where n ≥ 1

an = 3 + 6(n − 1); all integers where n ≥ 0

an = 3 + 2(n − 1); all integers where n ≥ 1

Answers

Note that the explicit equation and domain for an arithmetic sequence with a first term of 3 and a second term of 5 is n = 3 + 2(n − 1); all integers where n ≥ 1 (Option D)

What is an arithmetic sequence?

Arithmetic progression or arithmetic sequence is a numerical series in which the difference between subsequent terms is constant. For example, the sequence 5, 7, 9, 11, 13, 15..

The first term of the arithmetic sequence is 3, followed by 5. Thus, the common difference is, 5-3  = 2. You use these values to the derived formulas for arithmetic progression. One of these formulas is

An = A1 + (n-1)d

where

An is the nth term in the sequence

A1 is the first term of the sequence

n is the total number of terms within the sequence

d is a common difference.

In this problem, A1 = 5 and d=2. Substituting to the equation,

An = 3 + (2)(n-1)

An = 3 + 2(n-1), where n should be more than 1. In order for it to become a sequence, it should contain more than one term.

Therefore, it is correct to appropriate an explicit equation and domain for an arithmetic sequence with a first term of 3 and a second term of 5 to be: n = 3 + 2(n − 1); all integers where n ≥ 1

Learn more about Arithmetic Sequence:
https://brainly.com/question/15412619
#SPJ1

What is the exponential form of 3?

Answers

Answer:The 3 in 103 is called the exponent. The expression 103 is called the exponential expression. base → 103 ←exponent

Step-by-step explanation:

NAFTA recognize the reality of today' economy - globalization and technology. Our future i not in competing at the low-level wage job; it i in creating high-wage, new technology job baed on our kill and our productivity. ~ John F. Kerry

Answers

The quote mentioned in the question was given by John F. Kerry who was a famous American personality, he was born on 11 December 1943.

Professionally he was an attorney and later became a politician and, diplomat and he currently serves as the first United States special presidential envoy for climate. He is a member of the Forbes family and the Democratic Party, and that he previously served as the 68th United States secretary of state .

Some of his other popular quotes are , "I saw courage both in the Vietnam War and in the struggle to stop it. I learned that patriotism includes protest, not just military service."

To learn more about John F. Kerry

brainly.com/question/14159143

#SPJ4

which of these is obtained by adding three digit number to 7845. which of the following number lies between 5595 and 5610 a=5509 b=5590 c=5605 d=5611 25x200x4=100x=? a= 25x4 b
a}8945
b}7954
c}7905
d}7854

Answers

On adding three digit number 109 to 7845 we get 7954 so the number is 109.

What is a three-digit number added?

The one -ended or all of the addends in a 3-digit addition are numbers of three digits. Three-digit numbers can be added by placing them in columns so according their place values. Following that, we start adding the numbers from of the ones and tens columns before finishing with the hundreds column.

What in math is addition?

The numbers being added are termed addends, and the outcome of the operation, or the answer we ultimately get, is referred to as the sum. It is a fundamental mathematical operation that we employ on a daily basis. We add numbers in a variety of circumstances.

According to the given information:

7845 + 1100

= 8945 so it is wrong

7845+109=7954

109 is 3 digit

and because of that, we won't need to consider any other options. If you checked them again, you would not receive a three-digit number.

so 109 is your answer

To know more about addition visit:

https://brainly.com/question/29560851

#SPJ1

What is substitution Short answer?

Answers

Substitution is the name of the process in algebra which is used for swapping an algebraic letter for its value.

The substitution method is the algebraic method to solve different linear equations. In this method, the value of one variable from one of the equations is substituted in the other equation.

In substitution the following steps are used to solve an equation by substitution method:

Step 1. Simplify the given equation by removing the parenthesis.

Step 2. Solve one of the equations for any unknown value.

Step 3. Substitute step 2 result in the other equation.

Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.

Step 5. Finally, solve the final equation for the second variable.

To know more about arithmetic operations, here

https://brainly.com/question/29735725

#SPJ4

Pleader help, I’m so confused

Answers

Answer:

5•8-(4+2)=34

Step-by-step explanation:

because you need to change the order of operation

c + –4c + 10 + –10
an

Answers

Answer:

-3c

Step-by-step explanation:

During photosynthesis, what is the path or flow of energy among biotic and abiotic parts of an ecosystem?

Answer:

-3c

Step-by-step explanation:

c+-4c+10+-10=  c+-4c= -3c

5. You overhear a friend discuss how Americans are frivolous in their spending and waste lots of
money. Use this data on family budgets to argue against his position.

Answers

The statement if False.

What is the family budget?

A family budget is a game plan for your family's money. Your plan identifies where and how your money comes and goes by focusing on income and expenses. Importantly, it also reflects your family's goals and values by how you spend and save.

Given statement,

You overhear a friend discuss how Americans are frivolous in their spending and waste lots of money.

The most expensive items in American spending are needs like housing, taxes, and transportation, while wants like wants are the least expensive.

In America, besides taxes three largest cost categories are households, transportation and food.

A family's transportation costs are $1,847 more than its food expenses.

Typically, needs make up 80% of expenses rather than wants.

Housing, fees, and medical expenses, continuing to be the same each month. The cost of clothing, entertainment, food, and transportation changes every month.

Hence,  we can conclude that, Americans don't necessarily waste money on wants because they have to spend on needs before wants, which results in a lot of spending on things like housing and taxes.

Learn more about budget here:

https://brainly.com/question/15683430

#SPJ1

A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.


Number of Hours Total Number of Students
0 1
1 8
2 2
3 5
4 9
5 7
6 3


Determine the probability that a student studied for exactly 1 hour. Round to the nearest hundredth.
0.03
0.23
0.30
0.77
Question 15(Multiple Choice Worth 2 points)
(Experimental Probability MC)

A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.


Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4


Determine the experimental probability of drawing a heart.
0.13
0.25
0.35
0.70

Answers

Answer:

For the first question, To determine the probability that a student studied for exactly 1 hour, we can use the formula:

P(X=1) = (number of students who studied for 1 hour) / (total number of students)

In this case,

P(X=1) = 8/30 = 0.27 (rounded to two decimal places)

So the probability that a student studied for exactly 1 hour is 0.27

For the second question, to determine the experimental probability of drawing a heart, we can use the formula:

P(Heart) = (number of times a heart is drawn) / (total number of draws)

In this case,

P(Heart) = 7/20 = 0.35

So the experimental probability of drawing a heart is 0.35

Therefore, the option 3 is the answer.

Step-by-step explanation:

5. f(x) = 2x - 7 Ln x; 6. f(x) = 3x^2 + 4x - Inx^5; 7. y = -5t^2 +4-3

Answers

The derivatives of the given functions are 2 - 7/x, 6x + 4 - 5/x^4 Inx, -10t + 3 - 1/t Log t, and 6/x In 5 - 4x, respectively.

5. f'(x) = 2 - 7/x;

6. f'(x) = 6x + 4 - 5/x^4 Inx;

7. y' = -10t + 3 - 1/t Log t;

8. y' = 6/x In 5 - 4x

5. To find the derivative of the given expression, apply the chain rule. The derivative of 2x is 2, and the derivative of -7Ln x is -7/x. Thus, the derivative of the function is 2 - 7/x.

6. To find the derivative of the given expression, apply the chain rule. The derivative of 3x^2 is 6x, the derivative of 4x is 4, and the derivative of -Inx^5 is -5/x^4 Inx. Thus, the derivative of the function is 6x + 4 - 5/x^4 Inx.

7. To find the derivative of the given expression, apply the chain rule. The derivative of -5t^2 is -10t, the derivative of 4 is 0, and the derivative of -3t is -3. The derivative of Logt is 1/t Log t. Thus, the derivative of the function is -10t + 3 - 1/t Log t.

8. To find the derivative of the given expression, apply the chain rule. The derivative of 6In5x is 6/x In 5, and the derivative of -2x^2 is -4x. Thus, the derivative of the function is 6/x In 5 - 4x.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

solana purchased 50 boxes of ceramic pottery and 40 boxes of plates on Monday.On Thursday she purchased 58 boxes of ceramic pottery and 46 boxes of plates. the weekly total was 108 boxes of ceramic pottery and 96 boxes of plates. Let c represent the number of ceramic pottery pieces in each box, and let p represent the number of handpainted plates in each box.
Write two equivalent expressions to show the total number of ceramic pottery pieces and handpainted plates that Solana bought.

Answers

Both expressions are equivalent

What is the expression in mathematics?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be evaluated to a specific value or result. Expressions can be simple or complex, and they can be used to represent mathematical relationships or to perform calculations.

Let c represent the number of ceramic pottery pieces in each box, and let p represent the number of handpainted plates in each box.

To find the total number of ceramic pottery pieces that Solana bought, we can use the following expression:

c* (50 + 58) = c*108

This expression shows that the total number of ceramic pottery pieces is equal to the number of ceramic pottery pieces in each box multiplied by the total number of boxes of ceramic pottery that Solana bought.

Alternatively, we can use the following expression:

c50 + c58 = 108*c

This expression shows that the total number of ceramic pottery pieces is equal to the product of the number of ceramic pottery pieces in each box and the number of boxes Solana bought on Monday plus the product of the number of ceramic pottery pieces in each box and the number of boxes Solana bought on Thursday.

Similarly, to find the total number of handpainted plates that Solana bought, we can use the following expression:

p* (40 + 46) = p*86

This expression shows that the total number of handpainted plates is equal to the number of handpainted plates in each box multiplied by the total number of boxes of handpainted plates that Solana bought.

Alternatively, we can use the following expression:

p40 + p46 = 86*p

This expression shows that the total number of handpainted plates is equal to the product of the number of handpainted plates in each box and the number of boxes Solana bought on Monday plus the product of the number of handpainted plates in each box and the number of boxes Solana bought on Thursday.

Both expressions are equivalent, as they provide the same value for the total number of ceramic pottery pieces and handpainted plates that Solana bought.

To learn more about Expression, Visit

https://brainly.com/question/1859113

#SPJ1

The points (–1, –3) and (–5, 9) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer: y = -3x - 6

Step-by-step explanation: y - 9 = ((9 + 3)/(-5 + 1))(x + 5)
y = 9 - 3(x + 5)

y = 9 - 3x - 15

y = -3x - 6

I have no idea how to do this ….

Answers

The value of  ∛64 will be equal to 4.

What is a radical expression?

In mathematics, a number r is said to be the nth root of a number x if it is raised to the power n. where n is a positive integer, also referred to as the root's degree. Degree 3 roots are referred to as cube roots, while degree 2 roots are known as square roots.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The radical expression will be solved as,

∛64 = ∛ ( 4 x  4 x 4 )

∛64 = ∛ ( 4³ )

∛64 = 4

Hence, the solution for ∛64 will be 4.

To know more about radical expression follow

https://brainly.com/question/738531

#SPJ1

What does a correlation of r =- 0.89 indicate?

Answers

The magnitude of the correlation coefficient indicates the strength of the association. For example, a correlation of r = 0.9 suggests a strong, positive association between two variables, whereas a correlation of r = -0.2 suggest a weak, negative association.

How to interpret a correlation coefficient?

The statistical measure of how well changes in the value of one variable predict changes in the value of another is called a correlation coefficient. The value rises or falls together when the variables are positively linked.

Is r or r 2 the correlation coefficient?

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation. The term "coefficient of determination" also applies to R square. To obtain the value of R squared, multiply R by R. In other words, the square of the coefficient of correlation is the coefficient of determination.

Learn more about  the correlation coefficient

brainly.com/question/15577278

#SPJ4

Write an expression, in its simplest form, for the perimeter of this shape.
The diagram is not drawn to scale.

Answers

The expression that represents the perimeter of the triangle is 3x

How to determine the perimeter of the triangle

From the question, we have the following parameters that can be used in our computation:

Side length = x

Triangle type = equilateral triangle

The perimeter of an equilateral triangle can be calculated as

P = 3 * side length

substitute the known values in the above equation, so, we have the following representation

P = 3 * x

So, we have

P =3x

Hence, the perimeter expression is 3x

Read more about perimeter at

https://brainly.com/question/17297081

#SPJ1

y+x^2 -4 simplify the expression
6
5 divided by 1
7 =

Answers

y + x² - 4 is already in simplest form and the value of 6/5 ÷ 1/7 is 8.4.

What is simplest form?

A fraction with a reasonably prime numerator and denominator is the simplest form. It denotes that the fraction's numerator (upper or top portion) and denominator (lower or bottom portion) share no common component other than 1. A fraction is a value that denotes a portion of a larger whole.

A fraction's simplest form is also known as its reduced form. 3/4 is the simplest form of a fraction with a common component of one, for example. However, because 2/4 can be reduced further and expressed as 1/2, it is not the simplest form. In this case, 1/2 and 2/4 are equivalent fractions.

We have given two question

y + x² - 4 simplify and 6/5 ÷ 1/7 = ?

Lets simplify

y + x² - 4 is already in simplest form

For

6/5 ÷ 1/7

= 6/5 × 7/1

= 42/5

= 8.4

Thus, y + x² - 4 is already in simplest form and the value of 6/5 ÷ 1/7 is 8.4.

Learn more about simplest form

https://brainly.com/question/290068

#SPJ1

Classifying Triangles Card Sort ​

Answers

The link between s, t, and u is therefore u2= t2+s2 and provides the answer to the triangle problem.

Describe the triangle.

A triangle is a polygon since it has three parts and three vertices. It is a basic geometric shape. A triangle with the corners A, B, & C is referred to as a triangle ABC. A singular plane & triangle in Geometric shapes are found so when three components are not collinear. Due to its right side and three corners, triangles are considered polygons. The corners of a triangle are defined as the locations at which its three sides meet. 180 degrees is obtained by multiplying three triangle angles.

Here,

Given: Triangle STU is a right triangle in this instance.

Thus,

We learn:

parts s, t, and u

Their connection is as follows:

Given that it's a right triangle

So,

The Pythagoras Theorem states that

=>u²= t²+s²

The link between s, t, and u is therefore u2= t2+s2 and provides the answer to the triangle problem.

To know more about triangle visit:

brainly.com/question/2773823

#SPJ1

Is 0 an exponential function?

Answers

0 is not an exponential function.

We know that the general form of exponential function f with base b is defined as:

f(x) = b^x

where b > 0 and b is not equal to 1

and x is any real number.

If it is negative  b < 0, the function is undefined for -1 < x < 1.

If in an exponential function the base is less than zero, then it would make the function values complex for certain fractional values.

If the base of exponential function is 0 then function would create a graph which violates the properties / definition of exponential functions.

Also, we can not write 0 in exponential function form.

Learn more about the exponential function here:

brainly.com/question/3127939

#SPJ4

What is the value of −7 + (−12) + 81?

−100
−76
62
86

Answers

62 third option I believe

What is the principle of factorization Mcq?

Answers

Answer:

The principle of factorization is that every square matrix can be expressed as a product of a lower triangular matrix and upper triangular matrix. On the basis of this fact, these lower and upper triangular matrices help us in finding the unknowns.

Step-by-step explanation:

Hope it helps!

PLEASE HELP ME I NEED THIS DONE AS SOON AS POSIBLE

a. Liam wants to know how the function would need to change to reflect the amount of money the business will take in. Use this function to model a function for gross sales. (Gross sales are the total amount of money the flowers sell for.)

Type your response here:


b. Liam knows that his cost (c) in terms of the units of mums sold (x) can be modeled by the function Replace the variable x in this function with the function that gives the number of units sold (x) in terms of price p. What does this turn the function c into?

Type your response here:


c. Liam wants to calculate the profit his shop would earn from the sale of mums. He knows that it can be done by deducting the costs from the money that the store makes selling mums. Now that he has the functions for the cost and gross sales, can he subtract the function for cost from the function representing the gross sales to arrive at a function for profit? Why?

Type your response here:


d. Find the store’s profit function for selling mums by subtracting the function for cost from the function for gross sales. Consider pr(p) as the profit function.

Type your response here:


e. Is the profit function linear or quadratic?

Type your response here:


f. Liam wants to use the profit function to determine the range of prices at which he can sell mums and make a profit. How can he determine the price range?

Type your response here:


g. Use the quadratic formula to find the factors of the profit function you wrote.

Type your response here:


h. Using the factors you found in part g, find the zeros of the quadratic profit function.

Type your response here:


i. Liam needs to find the range of prices at which he can sell mums and make a profit. Based on the equation, what are the points between which he will earn a profit on his mums?

Type your response here:


j. Liam wants to determine the most profitable price point for the mums. Use the completing the square technique to find this price.

Type your response here:


k. Liam is interested in determining the maximum profit possible for the mums. Find the maximum profit corresponding to the most profitable price point.

Type your response here:




Task 2: A Boat Ride
Jake went on a riverboat tour. After returning from the tour, he was curious to know the speed at which the boat was going. During the tour, he was told that he would travel 10 miles upstream and then 10 miles downstream. He also knows that the river was flowing at a rate of 3 miles/hour and that the tour took about three hours.

The boat moved at a constant speed for the whole journey, although its actual speed varied with the current.

a. Jake wants to know the boat’s actual speed going upstream and actual speed coming downstream. If the boat was moving at a constant speed of x miles per hour, determine the boat’s relative speed in each direction.

Type your response here:


b. Was the time it took the boat to go upstream the same as the time it took to come downstream?

Type your response here:


c. Jake first reasoned that because the boat ride took 3 hours, it must have taken 1.5 hours to go upstream and 1.5 hours to go downstream. Thinking about it further, however, he realized that the ride upstream had to take longer than the trip downstream. What is the reason it took longer to travel one direction than the other?

Type your response here:


d. The time it took the boat to go upstream is U, and the time it took to come downstream is D. What is U + D?

Type your response here:


e. Jake knows that the relationship between distance (d), velocity (v), and time taken (t) is given by d = vt. Rewrite this equation for t.

Type your response here:


f. Using the equation you rewrote in part e, write an equation for the time taken for the upstream trip.

Type your response here:


g. Now construct an equation for the time taken for the downstream trip.

Type your response here:


h. Jake already has the equation U + D = 3, which represents the total time taken for the whole journey. Now that he has individual equations for U and D, he needs to combine these three equations to get a single equation. Construct a combined equation for U + D in terms of x, the constant speed at which the boat was going.

Type your response here:


i. Jake now has an equation with x as the only unknown variable. He needs to solve for x. Transform the equation you found in part h into a quadratic equation, and find the value of x, the constant speed at which the boat traveled.

Type your response here:

Answers

Answer::b.

Step-by-step explanation:

Solve:
[tex]sin^2(2x+3)+cos^2(2x+3)=2x+3[/tex]

Answers

The solution of the trigonometric equation sin^2(2x+3)+cos^2(2x+3)=2x+3 is x = -1.

How to solve a trigonometric equation?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

sin²(2x+3) + cos²(2x+3) = 2x + 3

Remember, the trigonometric identity, sin²θ + cos²θ = 1.

Thus, we can say sin²(2x+3) + cos²(2x+3) = 1. We now have:

sin²(2x+3) + cos²(2x+3) = 2x + 3

1 = 2x + 3

2x = 1-3

2x = -2

x = -2/2

x = -1

Therefore, the solution of the equation is x = -1

Learn more about trigonometry on:

brainly.com/question/29354606

#SPJ1

Other Questions
The United States wants to protect its domestic sugar producers by limiting the supply of foreign sugar. Therefore, you advise your clients that they should suggest to the United States to Buying stocks or starting your own company are examples of what type of investment? A. Income investments B. Bond investments C. Debt investments D. Equity investments Please select the best answer from the choices provided A B C D In 57 complete sentences, summarize your Module One short story. Give specific details about the exposition, rising action, climax, falling action, and resolution. Your response should address each element of plot.(My story is Rules of the game) described the personal function of arts to person like you How does human population affect Earth's resources? I just joined Spanish 1 and I have a study example sheet I need to change into YO form Morgan cycled from Town A to Town B at an average speed of 15 km/h. She reached Town B at 6 P.M. If she increased her average speed to 20 km/h, she would arrive at 5 P.M. At what time would she arrive at Town B if she cycled at an average speed of 25 km/h? What is the Current Liturgical Season? I need help!Write a poem about the picture. Please make sure it has the following:-Rhyme, -Meter/Rhythm, -Line and Stanza-Density -Imagery-Sound What is the scale factor of the dilation in the similarity transformation? ERAN DOS Y SE CALLO EL DEL CENTRO ME PREGUNTAN? DOY SESENTAISEIS PUNTOS how does the use of grayscale photography make the photograph better or worse? Explain why the use of grayscale improvesor takes away fromthe photograph. Additionally, you can examine the images below and think about the use of grayscale in each photograph to determine its effectiveness in conveying the subject matter. Which of the following triangles is congruent to triangle PQR? Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy. The supports or connections are to be assumed as stated. Tuesday with Morrie: What life-changing event does Mitch experience? What decisions does he make as a result? William Penn'sColony? Assume the two triangles shown are similar then the missing length There are x sparrows in a tree. There are 50 sparrows on the ground beneath the tree. Let y represent the total number of sparrows in the tree and on the ground.A. Express y in terms of xB. Make a table to show the relationship between y and x. Use values of x=10,20,30,40, and 50 in your table help is needed please 1. Answer each part separately.a. Explain ONE reason that post-colonial African states have struggled sinceExplain a SECOND reason that post-colonial African states have struggledsince 1960. Explain a THIRD reason that post-colonial African states have struggled since1960.