•18 POINTS• don’t explain

a.) neither
b.)SAS
c.)HL

18 POINTS Dont Explain A.) Neitherb.)SASc.)HL

Answers

Answer 1

SAS congruence theorem should be used.

Option (B) is correct.

What is the SAS congruence theorem?

In Euclidean geometry, the SAS congruence theorem states that if two triangles have two sides of one triangle congruent (equal in length) to two sides of the other triangle, and the included angle is congruent, then the triangles are congruent. This theorem is often abbreviated as SAS, and is used in combination with other congruence theorems, such as ASA and SSS, to prove that triangles are congruent.

In the given picture, we can say both triangles has the same side of length 7 and along with it, one more side is of equal length.

and both triangles are having the right-angle,

so we can say that we can prove these triangles congruent by using SAS congruence theorem.

Hence, SAS congruence theorem should be used.

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Related Questions

Elijah currently owes a total of $1,649.70 on his revolving credit accounts. What is Elijah's debt-to-credit ratio if the total of his revolving credit limits is $6,345.00? Round the final answer to the nearest whole percent.

a
26%

b
38%

c
41%

d
50%

Answers

a. 26%

sorry if wrong...

Elijah's debt-to-credit ratio is calculated by dividing his total debt by his total credit limits. In this case, the ratio is $1,649.70 / $6,345.00 = 0.2609, or about 26%. The answer is therefore (a) 26%.

How do you verify inverse?

Answers

To verify the inverse we can use Horizontal Line Test.

Suppose F is a function.

F does not have an inverse if any horizontal line crosses the graph of f more than once. If no horizontal line crosses the graph of F more than once, then F does have an inverse. In mathematics, having an inverse is a very significant quality, and it has a name.

If and only if a function f has an inverse, then it is one-to-one. The following definition, which is also the one that is most frequently used, is equivalent. If f(a) = f(b) implies a = b for all a and b in its domain, then a function f is one-to-one.

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The ratio of the number of model cars that jim owns to the number of model cars Terrence owns is 8:6. Terrence owns 36 model cars


Part A

How many model cars does Jim own?

___

Part B

How will the ratio change if Jim and Terrence each sell ten of their model cars?


O The new ratio would stay the same

O The new ratio would be 4:3

O The new ratio would be 23:29

O The new ratio would be 19:13

Answers

When Jim's model car ownership is compared to Terrence's model car ownership, the ratio is 8:6, Jim possesses 48 model vehicles.

what is equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, according to the definition given by the term in its most basic form.  When two terms are placed on each side of an equal sign, a simple equation is used to show their relationship. The four mathematical operations of addition, subtraction, multiplication, and division may be used singly or in combination in simple equations.

given

You are aware that Jim and Terrence both own four model automobiles in comparison to three owned by Jim.

Let's assume that Jim owns Jim has the following number of model cars, then you can answer the task as follows:

4/3 = x/36

x = (4* 36)/ 3

x = 48

Therefore, Jims owns 48 model cars.

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6 2/3 times 12 simplest form

Answers

Answer:

80

Step-by-step explanation:

[tex]6\frac{2}{3} *12[/tex]

First, write the fractions as improper fractions.

[tex]\sf\frac{20}{3} *\frac{12}{1}[/tex]

Multiply.

[tex]\sf\frac{240}{3}[/tex]

Divide.

80

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{6\dfrac{2}{3}\times 12}[/tex]

[tex]\mathsf{= \dfrac{6\times3+2}{3}\times\dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{18 + 2}{3} \times\dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{20}{3} \times\dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{20\times12}{3\times1}}[/tex]

[tex]\mathsf{= \dfrac{240}{3}}[/tex]

[tex]\mathsf{= 240\div 3}[/tex]

[tex]\mathsf{= 80}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{80}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

a) A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
Time (in minutes)
9
3
15 21
5 7
OThe train does not always go the same distance each minute.
OThe train appears to go the same distance each minute.
Predicted distance traveled in 8 minutes: km

Answers

Answer:

Step-by-step explanation:

from the figure we kown the speed is 9/3=15/5=21/7=3 km per minute

the distance in 8 minute is 3 ×8=24 km

A calculator cost 32.00 if the sales tax is 6% what is the price ?

Answers

Answer:

Step-by-step explanation:

Here is how to solve the given problem above.

Given that the calculator costs $32 and has a tax of 6%, what we are going to do is to find how much is 6% of 32. So 32 times 0.06 is 1.92. So, we add this amount to 32 dollars, and the total price would be 33.92 dollars. Hope this answer helps.

Answer:

33.92

Step-by-step explanation:

32 times 6 divided by 100 gives you 1.92, the sales tax,

add it to 32 and then you get 33.92

50% of 188 is equal to what number?

Answers

Answer:

Step-by-step explanation:

a.50%=[tex]\frac{1}{2}[/tex]

b.so 50% of 188 means 188·[tex]\frac{1}{2}[/tex]=94

answer is 94

The correct answer would be 94 because 1% of 188 is 1.88 so you would just multiply that by 50.

The age of people waiting in line for a movie are given. Use the data to make a frequency table with intervals.
12, 27, 15, 31, 6, 45, 65, 55, 10, 49, 6, 8

Answers

The frequency table for the given data is shown above.

What is is frequency table?

A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.

Given is the age of people waiting in line for a movie as -

12, 27, 15, 31, 6, 45, 65, 55, 10, 49, 6, 8

Arrange the data in ascending order -

6, 6, 8, 10, 12, 15, 27, 31, 45, 49, 55, 65

INTERVALS                      FREQUENCY

0 - 10                                       4  

11 - 20                                      2  

21 - 30                                     1

31 - 40                                     1

41 - 50                                     2

51 - 60                                     1

61 - 70                                      1

Therefore, the frequency table for the given data is shown above.

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Marla is four years less than twice as old as Darla. If the sum of their age is 47, how old is Marla?

Answers

According to the given algebra Darla is 17 years old and Maria is 30 years old.

What algebraic fundamentals are there?

Numbers, parameters, constants, expressions, equations, linear equations, and quadratic equations are all part of the fundamentals of algebra. Additionally, the algebraic expressions contain the fundamental arithmetic operations of addition, subtraction, multiplication, as well as division.

According to the given information.

Maria is 4 years younger than Don,

thus if Don is x years old, then Maria is x years younger. (2x-4)

If their ages added together equal 47,

then x + (2x-4) = 47

Solving for x, then determining Maria's age (2x-4)

3x=47+4

3x=51

x=51/3

x=17 years

Maria's age=2*17-4=30 years

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What is the example of quadrant 2?

Answers

The example of Quadrant 2 is (-1, 1)

The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.

Here we have to give the example for quadrant 2.

In order to find the example, first we have to know the definition and properties of quadrant 2.

The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.

Therefore, the resulting coordinate for Quadrant 2 is written as,

=> (-1, 1)

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How do you solve a 5 =- 5a 5?

Answers

The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5

The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.

Answers

Answer:

1/2

Step-by-step explanation:

You are comparing ponies to sheep, so you put the ponies on top(3)

and the sheep on the bottom(6)

3/6 reduces to 1/2

Estimate the area of the circle. Round to the nearest whole number. A) 3 square units B) 6 square units C) 9 square units D) 12 square units

Answers

The area of the circle is A. 3 square units

How to determine the area of the circle

The formula for determining the area of a circle is expressed as;

A = πr² or 1/4πd²

Given that;

A is the area of the circleπ takes the value 3.14 or 22/7r is the radius of the circled is the diameter of the circle

Also, the formula for calculating the radius of a circle is given as;

Radius = diameter/2

Substitute the value, we have;

Radius = 2/2

Radius = 1

Substitute the value into the formula

Area, A = 3. 14 × (1)²

Find the square

Area, A = 3. 14 square units

Hence, the value is 3 square units. Option A

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The complete question

Estimate the area of the circle, given the diameter as 2 unit. Round to the nearest whole number. A) 3 square units B) 6 square units C) 9 square units D) 12 square units

Write a ratio of the following in three ways.
Write your answers on the blanks.
1) 6 Weeks to 12 days_____
2) 10 decimeters to 10 centimeters_______
3) 4 days to 36 hours___
4) 4 months to 8 weeks___
5) 30 seconds to 6 minutes__
6) 24 girls to 16 boys___
7) 12 mangoes to 36 fruits__
8) 2. Years to 36 months__
9) 45 points to 9 games__
10) 468 students for 9 classrooms___​

Answers

Ratios express the relationship between two or more quantities, they can be expressed in different forms such as 6:12, 42:12 and 3:1, 10:10, 100:10, and 10:1, 24:36 and 2:3.

1. 6 Weeks to 12 days:

6:12 (using the same unit of measurement, weeks)42:12 (converting weeks to days, 6 weeks x 7 days/week = 42 days)3:1 (simplifying the ratio to its simplest form)

2. 10 decimeters to 10 centimetres:

10:10 (using the same unit of measurement, decimeters)100:10 (converting decimeters to centimeters, 10 decimeters x 10 centimeters/decimeter = 100 centimeters)10:1 (simplifying the ratio to its simplest form)

3. 4 days to 36 hours:

4:36 (using the same unit of measurement, days)24:36 (converting days to hours, 4 days x 24 hours/day = 96 hours)2:3 (simplifying the ratio to its simplest form)

4. 4 months to 8 weeks:

4:8 (using the same unit of measurement, months)16:8 (converting months to weeks, 4 months x 4 weeks/month = 16 weeks)2:1 (simplifying the ratio to its simplest form)

5. 30 seconds to 6 minutes:

30:6 (using the same unit of measurement, seconds)180:6 (converting seconds to minutes, 30 seconds x 6 minutes/60 seconds = 0.5 minutes)30:1 (simplifying the ratio to its simplest form)

6. 24 girls to 16 boys:

24:16 (using the same unit of measurement, girls and boys)3:2 (simplifying the ratio to its simplest form)

7. 12 mangoes to 36 fruits:

12:36 (using the same unit of measurement, mangoes and fruits)1:3 (simplifying the ratio to its simplest form)

8. 2 years to 36 months:

2:36 (using the same unit of measurement, years and months)6:36 (converting years to months, 2 years x 12 months/year = 24 months)1:6 (simplifying the ratio to its simplest form)

9. 45 points to 9 games:

45:9 (using the same unit of measurement, points and games)5:1 (simplifying the ratio to its simplest form)

10. 468 students for 9 classrooms:

468:9 (using the same unit of measurement, students and classrooms)52:1 (simplifying the ratio to its simplest form)

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1. a room has dimensions 15m by 9m by 12m the dimensions of its
scale model is 5m by
3m by 4m what is the ratio of the dimensions of the actual room to that of the scale
model

2. the ratio of the dimensions of the scale model to that of the
actual object s 1:16 the length and width of the actual object are
2.4m and 1.8m respectively

Answers

Answer: To find the ratio of the dimensions of the actual room to that of the scale model, we can divide the dimensions of the actual room by the dimensions of the scale model.

The dimensions of the actual room are 15m by 9m by 12m, and the dimensions of the scale model are 5m by 3m by 4m.

Therefore, the ratio of the dimensions of the actual room to that of the scale model is:

length: 15m / 5m = 3 : 1

width: 9m / 3m = 3 : 1

height: 12m / 4m = 3 : 1

So, the ratio of the dimensions of the actual room to that of the scale model is 3:1 for all dimensions (length, width, and height)

The ratio of the dimensions of the scale model to that of the actual object is 1:16

so to find the length and width of the actual object, you can use this relation

length = scale model length * 16 = 2.416 = 38.4m

width = scale model width * 16 = 1.816 = 28.8m

So the length and width of the actual object are 38.4m and 28.8m respectively.

Step-by-step explanation:

What is the first month in which the board will see the cumulative total number of cars shipped to Japan exceeded the cumulative total in Vietnam

Answers

The cumulative total in Vietnam j(n) is 23(n-1),cumulative takes into account all data up to the present. In month four, j(n) will be worth more than v(n).

Is the sum the same as the total?

The distinction between total and cumulative is that total refers to the entirety of something, whereas cumulative takes into account all data up to the present.

When a new number is added to a series of numbers, the running total is updated by adding the new number's value to the previous running total. Partially sum is another name for it. Running totals serve two distinct objectives.

We take it for granted that you mean that vehicles delivered to Vietnam should be modeled by v(n) = 5 + 11 and those sent to Japan by j(n) = 23(n-1).

In month four, j(n) will be worth more than v(n).      

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What is adjacent angle Class 7?

Answers

In class 7, adjacent angles are defined as two angles that share a common vertex and a common side but do not have any common interior points. They are angles that are next to each other.

Adjacent angles are often used in geometry to describe the angles formed by intersecting lines or figures. The adjacent angles can be classified into two types, namely:

Interior adjacent angles: They are formed by two lines that intersect inside a closed figure, such as in a parallelogram.

Exterior adjacent angles: They are formed by two lines that intersect outside a closed figure, such as in a straight line.

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What is 200/51 equal to

Answers

Answer:

Approx 3.92

Step-by-step explanation:

What is the domain of the logarithmic function f/x )= LOGB X?

Answers

The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logb(x)

The domain of the logarithmic function [tex]f(x) = log_b(x)[/tex] is the set of all positive real numbers x such that x > 0. This is because the logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logb(x)

The domain of the logarithmic function [tex]f(x)=log_b(x)[/tex] is the set of all positive real numbers x such that x > 0. This is because the logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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Sarah has 600 quarters and dimes in her piggy bank which totals $123. 75 how many quarters does she have? (Hit: use cent values for each coin- quarters are 25 cents, 0. 25)

Answers

The answer of Coin word problem is Sarah has 425 quarters.

What is a  Coin word problem?

There are often two different equation types in coin word problems. The total number of coins is described by one equation, while the total amount of money is described by the other equation. However, let's choose some variables that will represent the problem's unknown values before we begin creating our equations.

Word Problems, also known as story problems, can be found in both daily life and the Common Core State Standards for every school level,  

Let q  be the number of quarters and d  be the number  of dimes

Then we are doing as :

q  +  d    =  600  →   d = 600  - q    (1)

0.25q + 0.10d  = 123.75      (2)

Sub (1)  into (2)  for d

0.25q + 0.10 ( 600 - q)   = 123.75    

simplify,

0.25q + 60  -0.10q  =  123.75

0.15q + 60 = 123.75    (subtract 60 from both sides)

0.15q  =  63.75     ( divide both sides by  0.15)

q = 425

Therefore, she has  425 quarters

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Type the correct answer in the box.
The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x months since the beginning of the year.

Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.

x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15

f(x)=ax^2+bx+c

Answers

Answer:

It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.

To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.

To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.

For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:

f(0) = 10 = a(0)^2 + b(0) + c

f(2) = 15 = a(2)^2 + b(2) + c

f(4) = 18 = a(4)^2 + b(4) + c

Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.

I hope this helps! Let me know if you have any questions or need further assistance.

Step-by-step explanation:

A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the PI is at station 105 00, determine the station of PT

Answers

The station of PT is 12305.58 ft

The station of PT can be determined using the formula:

PT = PI + R * (central angle in radians)

To use this formula, we first need to convert the central angle from degrees to radians. We can do this by multiplying the central angle by (π/180)

Next, we need to determine the radius (R) of the curve. We can use the formula:

R = L / (central angle in radians)

Where L is the tangent length.

Finally, we can substitute the values into the formula for PT:

PT = 105 00 + (1200 / (29.86 * (π/180)))

PT = 105 00 + (1200 / (0.5236))

PT = 105 00 + 2295.58

PT = 12305.58

It's important to note that this calculation assumes that the degree of curvature is a circular curve and that the PI is at the tangent point of the curve.

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If sin 0<0 and cos0>0, then the terminal point determined by 0 is in :

Answers

Answer: The statement "if sin 0 < 0 and cos 0 > 0" is not true, as both the sine and cosine of an angle of 0 degrees are equal to 0. Therefore, the statement is not meaningful and the question cannot be answered.

It is important to note that sine, cosine, and all the trigonometric functions are defined in radians and not degrees and the value of sin(0) and cos(0) is not zero but 1

Please provide more context or specify what you are asking about in order to give a more accurate answer.

Step-by-step explanation:

Number 7 says find the measure of the angle indicated I could fit the question in with it! If you could help!

Answers

The measure of angle E if The measure of angles is 2x + 13, 11x - 6 and 89°, is 37°.

What is the angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Given:

The measure of angles is 2x + 13, 11x - 6 and 89°,

Use the exterior angle theorem and find the value of x as shown below,

2x + 13 + 89 =  11x - 6

2x + 102 = 11x - 6

9x = 108

x = 12

Thus, the measure of ∠ E = 2 × 12 + 13

∠ E = 24 + 13

∠ E = 37°

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A photographer takes 12 different photographs. There are 3 sunsets, 4 oceans, and 5 mountains.

How many possible arrangements are there if all the photographs of the mountains are next to each other?

Answers

Answer:

4838400 arrangements

--------------------------------------------------

Permutation of 5 mountain photographs:

P(5, 5) = 5! = 120

Since all are next to each other, the mountain photographs count as one item along with the other 3 + 4 = 7 photographs and therefore the permutation for this is:

P(8,8) = 8! = 40320

Total arrangements is:

120*40320 = 4838400

Please help I’m going to fail this grade

Answers

The result of the operation between two mixed numbers are listed below:

99 / 104 4 / 3 6 / 5 52 / 25 57 / 53 33 / 100 1 / 2 8 / 5 4 4 / 3

How to solve an operation between mixed numbers

Mixed numbers are real numbers with special notation to transform improper fractions into a combination of integers and fractions. That is:

a b / c = a + b / c

Where a, b, c are integers and c is a non-zero number.

The procedure to simplify the operation is described below:

Transform mixed numbers into improper fractions. Divide the resulting two fractions. Simplify the expression.

Case 1

1 3 / 8 ÷ 1 4 / 9

(1 + 3 / 8) ÷ (1 + 4 / 9)

(11 / 8) ÷ (13 / 9)

(11 / 8) / (13 / 9)

99 / 104

Case 2

2 1 / 3 ÷ 1 3 / 4

(2 + 1 / 3) ÷ (1 + 3 / 4)

(7 / 3) ÷ (7 / 4)

(7 / 3) / (7 / 4)

28 / 21

4 / 3

Case 3

4 1 / 5 ÷ 3 1 / 2

(4 + 1 / 5) ÷ (3 + 1 / 2)

(21 / 5) ÷ (7 / 2)

42 / 35

6 / 5

Case 4

5 1 / 5 ÷ 2 1 / 2

(5 + 1 / 5) ÷ (2 + 1 / 2)

(26 / 5) ÷ (5 / 2)

(26 / 5) / (5 / 2)

52 / 25

Case 5

9 1 / 2 ÷ 9 4 / 6

(9 + 1 / 2) ÷ (9 + 4 / 6)

(19 / 2) ÷ (58 / 6)

114 / 106

57 / 53

Case 6

2 2 / 10 ÷ 6 2 / 3

(2 + 2 / 10) ÷ (6 + 2 / 3)

(22 / 10) ÷ (20 / 3)

(22 / 10) / (20 / 3)

(66 / 200)

33 / 100

Case 7

2 1 / 4 ÷ 4 1 / 2

(2 + 1 / 4) ÷ (4 + 1 / 2)

(9 / 4) ÷ (9 / 2)

(9 / 4) / (9 / 2)

18 / 36

1 / 2

Case 8

2 2 / 3 ÷ 1 2 / 3

(2 + 2 / 3) ÷ (1 + 2 / 3)

(8 / 3) ÷ (5 / 3)

(8 / 3) / (5 / 3)

8 / 5

Case 9

5 3 / 5 ÷ 1 2 / 5

(5 + 3 / 5) ÷ (1 + 2 / 5)

(28 / 5) ÷ (7 / 5)

(28 / 5) / (7 / 5)

28 / 7

4

Case 10

4 2 / 3 ÷ 3 1 / 2

(4 + 2 / 3) ÷ (3 + 1 / 2)

(14 / 3) ÷ (7 / 2)

(14 / 3) / (7 / 2)

28 / 21

4 / 3

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The temperature in knowlton is 2.5 C colder than the terminal elmwood. Which equation shows the temperature, in C, in knowlton? 9 - 2.5 = 6.5 or 9 + 2.5 = 11.5 or -9 - 2.5 = - 11.5 or -9 + 2.5 = -6.5

Answers

The equation representing the asked situation is (9 - 2.5) = 6.5

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The temperature in Knowlton is 2.5 C colder than the terminal Elmwood.

We know, that, if temperature is colder in any area A than another area B then, A will have less temperature than B.

Therefore, temperature in Knowlton is less than that of in Elmwood.

Therefore, if the temperature in Elmwood is 9 the temperature in Knowlton will be 9-2.5 = 6.5

Hence, the required equation is  9-2.5 = 6.5

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What are the factors of the expression 2x^2 5x 12?

Answers

[tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors of the quadratic expression.

2x^2 + 5x + 12

Consider given quadratic expression.

2x^2 + 5x + 12

Let f(x) = 2x^2 + 5x + 12

Assume f(x) = 0

2x^2 + 5x + 12 = 0

using the Quadratic Formula where

a = 2, b = 5, and c = 12

[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a} \\\\\\x = \frac{-5\pm \sqrt{5^2 - 4(2)(12)} }{2\times2} \\\\\\x = \frac{-5\pm \sqrt{25 - 96} }{4} \\\\\\x = \frac{-5\pm \sqrt{-71} }{4}[/tex]

The discriminant b^2 - 4ac < 0.

So, there are two complex roots.

[tex]x = \frac{-5\pm71i }{4}[/tex]

This means, [tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors.

2x^2 + 5x + 12

=  [tex](x- (\frac{-5+71i }{4}))[/tex] × [tex](x- (\frac{-5-71i }{4}))[/tex]

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The Yellow Cab Company charges just $1.25 per mile, but it costs $6.00 to get in the cab. Express Cab charges no fee to get in the cab, but $2.00 per mile for the ride. For what number of miles is the cost the same?

Answers

Answer: 8 miles

Step-by-step explanation:

1.25m+6=2m

--1.25m. -1.25m

6=.75

6/.75m=8 mile

s

What is the domain and range of a composite function?

Answers

The domain of a composite function is the set of all possible inputs for both functions, and the range is the set of all possible outputs.

A composite function is the combination of two or more functions. The domain of a composite function is the set of all possible inputs for both functions. This means that the domain is the set of all the possible inputs that can be used in either of the functions that make up the composite function. The range of a composite function is the set of all possible outputs. This means that the range is the set of all the possible outputs that can be obtained by the combination of the two or more functions. When graphing a composite function, it is important to remember that the domain and range of the composite function are the union of the domain and range of the individual functions in the composite function. The domain and range of a composite function can be determined by first determining the domains and ranges of the individual functions and then combining them.

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