find the equation of a line that is parallel to this line and passes through the point (-3,1)
Answers
Answer:
Two possible equations:
Point-slope form is [tex]y-1=-\frac{2}{3} (x+3)[/tex]
Slope-Intercept form is [tex]y=-\frac{2}{3}x+-1[/tex]
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope([tex]m[/tex]).
Then, we need to know the slope-intercept form of an equation. The point slope form is [tex]y-y1=m(x-x1)[/tex] where [tex]m[/tex] is the slope of the line and [tex]y1[/tex] and [tex]x1[/tex] represent the point on the graph. This is the equation we'll use for the line.
So now that we understand what we need to find, we need to find the slope of the existing line. To do this we use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex]. We can plug in the points (-2,3) and (1,1) on the graph to get [tex]m=\frac{1-3}{1+2}[/tex]. When we simplify this we get [tex]m=-\frac{2}{3}[/tex] so we know our slope is [tex]-\frac{2}{3}[/tex]. Lastly, all we need to do is plug the slope and the new point into our point slope equation to get [tex]y-1=-\frac{2}{3} (x+3)[/tex].
If you needed to go further and put this into slope-intercept form, you could solve the equation for y to get [tex]y=-\frac{2}{3}x+-1[/tex]
Related Questions
what is 3/4X + 2 = 3/8X
Answers
Answer:
exact form: -16/3
decimal form: -5.3
mixed number form: -5 1/3
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
3/4X + 2 = 3/8X
3/4X - 3/8X = - 2
(3/4 - 3/8)X = -2
((6-3)/8)X =-2
3/8X = -2
3X = (-2)(8)
3X = -16
X = -16/3
Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
2 lb
1.5 lb
3 lb
Answers
Answer:3
Step-by-step explanation:
15 percent of 20 pounds is 17 subtract 17 from 20 equals 3
Please help!!!!!
Solve for X and Y
Answers
Y=15
The image contains my work
Congratulations! You just landed your dream job. You have three choices for your salary. Which of the following options would result in the greatest payday at the end of your first month of employment?
a. You can receive a lump sum of $1,500,000.
b. You can receive $50,000 initially and $100,000 per day for the next 30 days.
c. You can receive $.02 on the first day and double the amount received each day for the next 30 days.
Answers
Answer:
(b)
Step-by-step explanation:
a=1,500,000
b=3,050,000
Receiving $50,000 initially and $100,000 per day for the next 30 days, would result in the greatest payday at the end of the first month of employment, with a total amount of $3,050,000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To determine which option would result in the greatest payday at the end of the first month of employment, let's calculate the total amount for each option:
a)
Lump sum of $1,500,000
The total amount is $1,500,000.
b)
$50,000 initially and $100,000 perday for the next 30 days
The total amount is $50,000 (initial) + $100,000/day * 30 days
T = $50,000 + $3,000,000
On simplifying the equation , we get
T = $3,050,000
Hence , receiving $50,000 initially and $100,000 per day for the next 30 days would result in greater payday
To learn more about equations click :
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Which of the following expresses 2.4 as a fraction in simplest form?
Answers
D. 2 4/9
[tex]\sf 2\dfrac{1}{4} \rightarrow 2.25[/tex][tex]\sf 2\dfrac{2}{5} \rightarrow 2.4[/tex][tex]\sf 2\dfrac{11}{25} \rightarrow 2.44[/tex][tex]\sf 2\dfrac{4}{9} \rightarrow 2.444444...[/tex]
Note: the symbol on top of 4 - means that the number is recurring/repeating infinitely.
Answer: (D) just did the unit test review on edge
Step-by-step explanation:
A cylindrical bucket contains 615 cubic inches of water the heigh of the water is 4 inches what is the radius of the bucket to the nearest whole number
Answers
Answer:
Your answer is: 5 or 6 inches
Step-by-step explanation:
Hope this helped : )
Hellllllllllllllllllllllpp
Answers
Answer:
D
Step-by-step explanation:
No explanation anymore I just don't want to anymore lol.
Question 13
2 pts
If a person bought a bike for $400 and sold it for $500. What is their rate of return?
0 25%
None of the Above
05%
20%
Question 14
2 pts
If you bought 1000 shares of a Vanguard Mutual Fund for $145 a share two years
Answers
Answer:
For question 13: 25%
Step-by-step explanation:
25 out of one hundred is one fourth
25 percent of 400 is one hundred
since 4 one hundreds go into 400
take one fourth and you get one hundred
500-400=100
so 25%
I dont know what the second question is asking
100 Points
Use geometry to evaluate the integral from negative 2 to 6 of f of x, dx where f of x equals the absolute value of x for x between negative 2 and 2 inclusive, equals 2 for x greater than 2 and less than or equal to 4, and equals negative x plus 4 for x greater than 4 and less than or equal to 6.
Answers
Answer:
[tex]\int\limits^{6}_{-2} {f(x)} \, dx=6[/tex]
Step-by-step explanation:
Review the attached graph
By using geometry to evaluate the given integral, the value is equal to 6 units.
How to use geometry to evaluate an integral?In order to use a geometry to evaluate a definite integral, you should identify the portion of a graph which corresponds to the given integral.
Also, you'll mark out the geometric shapes that are formed on the graph, so as to enable you calculate their areas. Finally, you'll add the areas together.
From the graph of the integral shown in the image attached below, the geometric shapes that are formed are rectangle and triangles.
For the area of rectangle, we have:
Area of rectangle = L × B
Area of rectangle = 2 × 2
Area of rectangle = 4 units.
For the area of triangle, we have:
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 2 × 2
Area of triangle = 2 units.
Total area = 4 + 2
Total area = 6 units.
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You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represented by the equation y = 151x + 575 , where represents the number of days that the beach house is rented and y is the total cost of the rental. What is the cost of the security deposit ?
Will mark the brainliest!
Please someone explain this to me. Needs to be tonight!
Answers
Answer:
The one-time security deposit is just 575, if you add it to the cost of renting the beach house, you then get y, which is the total cost of everything. haha, its logical.
so,
The one-time security deposit is just 575.
and
The cost of renting the beach house is 151x.
while
The total cost of the rental is y, i.e 151x + 575.
Answer:
575Step-by-step explanation:
The answer is included in the question already
The cost of renting = security deposit + rental per day
y - is total cost of rentingOne off security deposit = 575Rental cost = 151 per daySo the answer is 575
(Multiple choice question) suppose you take out a $7,200 personal unsecured loan at 12.75% APR and you are going to pay it back over 9 years. What is the total amount that you will pay back over the life of the loan
A. 7,200.00
b. 12,13.00
C. 11,807.00
Answers
Answer:
B
Step-by-step explanation:
I think its b but its 12,130 not 12,13 lol
i need help...
(25 points)
Answers
Answer:
Problem:
Nonoy sells newspaper in the morning. He gets Php 5 per newspaper sold and a Php 30 a day tip from the supplier. How much does he earn if he sells 30 newspapers in one day?
Given:
Php 5 per newspaper sold and a Php 30 a day tip from the supplier
Formula:
5 x 30 + 30 (tip from the supplier)
Solution:
5 x 30 = 150
150 + 30 tip from the supplier = 180
Final Answer:
180 pesos
Step-by-step explanation:
Help please need the answers now
Answers
Answer:
j(x) matches #3
g(x) matches #2
f(x) matches #4
h(x) matches #1
Someone help ASAP pls helph
Answers
Answer:
103
Step-by-step explanation:
For any Triangle, The Sum of Interior Angles = 180°
So, For Triangle ABC ---> m∠A + m∠B + m∠C = 180°
By Substituting by the Givens m∠A =68 and m∠B=9
68 + 9 + m∠C = 180
77+ m∠C=180
Subtract 77 from both Sides
m∠C=180-77=103°
You need to go to the library, grocery store,
and pharmacy. In how many orders can you
visit these places?
A 3
A 6
C 9
D 12
Answers
What is the value of 6C5?
A. 6
B. 24
C. 30
D. 720
Answers
Answer:
A
Step-by-step explanation:
Using the combinations formula, we get (6!)/(5! 1!)=6.
Here is the question
Answers
Answer:
Step-by-step explanation:
The curve is maybe a bit easier to visualize if you write it as x = 4sin(y). The area is
∫[0,π/2] (4-x) dy
= ∫[0,π/2] (4-4sin(y)) dy = 2π-4
∫4-4sin(y) dy = 4y + 4cos(y)
This is a bit easier than using vertical strips, where the area is
∫[0,4] arcsin(x/4) dx
since integrating arcsin(x/4) involves integration by parts.
u = arcsin(x/4)
du = 1/√(16-x^2) dx
dv = dx
v = x
∫arcsin(x/4) dx
= x arcsin(x/4) - ∫x/√(16-x^2) dx
= x arcsin(x/4) + √(16-x^2)
How many ounces of a 18% alcohol solution and a 26% alcohol solution must be combined to obtain 34 ounces of a 22% solution?
Answers
Answer: 54 or 100 lol oozy
Step-by-step explanation: Nothing that's just the answer
Answer:
18% alcohol 17 ounces, 26% alcohol 17 ounces
Step-by-step explanation:
set some equation
18%x + 26%y = 34x22%
34= x + y
PLZZZZZ HELP ME ILL MAKE YOU BRAINLIEST ANSWER PLZZZZZZ THANKYOUUU!!!!!!
Answers
Answer:
It would be neither.
Step-by-step explanation:
It definitely is not parallel since Line 1 would run into Line 2 at (4, 1). Nor could it be perpendicular because they do run into each other but do not make a 90 degree angle.
A blueprint of a barn is shown.The scale is 5 inches =8 feet. Find the actual length of the wall that is labeled 20 inches.
Answers
20/5=4
8x4=32
The answer is 32 feet
100-point Question!!!
Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x − 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two and describe any simplification that can be done.
Answers
Answer:
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)
h(x) = \frac{f(x)}{g(x)}h(x)=
g(x)
f(x)
h(x) = f(g(x))h(x)=f(g(x))
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
f(x) = 75+ 10xf(x)=75+10x
The savings function is given as
s(x) = 85s(x)=85
The allowance function is given as:
a(x) = 10(x - 1)a(x)=10(x−1)
The new function that combined his savings and his allowances is calculated as:
f(x) = s(x) + a(x)f(x)=s(x)+a(x)
Substitute values for s(x) and a(x)
f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)
Open bracket
f(x) = 85 + 10x - 10f(x)=85+10x−10
Collect like terms
mark as brainiest
f(x) = 85 - 10+ 10xf(x)=85−10+10x
f(x) = 75+ 10xf(x)=75+10x
If the discriminant of an equation is zero, which of the following is true of the
equation?
A. It has two complex solutions.
B. It has two real solutions.
C. It has one complex solution.
D. It has one real solution.
SUBMI
Answers
Answer:
Step-by-step explanation:
if the discriminate is 0, it means that both roots are the same. Not only that, but it also means that the roots are real. I would pick D, but realize that that is the expected answer and the answer could be B, depending on how the person writing the problem thinks about it.
-3
6
9
10
Espalio
14
12
13
A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the second consumed 40 gallons of gas. The two cars drove a
combined total of 1700 miles, and the sum of their fuel efficiencies was 50 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Note that the ALEKS graphing calculator can be used to make computations casier
Answers
Answer:
the fuel efficiencies of the first car was 15 while the second car was 35
Please answer this correctly without making mistakes
Answers
hope this helps :)
0.54 of 50 is 27
if f(x) = -5x+11, then f^-1(x)=
Answers
Answer:
f(x)= -5x-11
y= -5x-11
x= -5y-11
x+11= -5y
[tex]\frac{x=11}{-5} =y\\f-1=\frac{x+11}{-5}[/tex]
Step-by-step explanation:
Hope this helps.
A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previously the average time spent on the form was 5.2 hours. In order to test whether the time to fill out the form has been reduced, a sample of 60 small business owners who annually complete the form was randomly chosen, and their completion times recorded. The mean completion time for ABC-5500 form was 4.5 hours with a standard deviation of 1.6 hours.
Required:
In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses.
Answers
Considering the situation described, we have that:
The appropriate null hypotheses is [tex]H_0: \mu = 5.2[/tex].The appropriate alternative hypotheses is [tex]H_1: \mu < 5.2[/tex].What are the hypotheses tested?At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:
[tex]H_0: \mu = 5.2[/tex].
At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:
[tex]H_1: \mu < 5.2[/tex]
More can be learned about hypotheses tests at https://brainly.com/question/26454209
If a string is 28cm, what is the length of the side of a square?
Answers
Answer:
hope will help you
good afternoon
The back of Alisha's property is a creek. Alisha would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 380 feet of fencing available, what is the maximum possible area of the pasture?
Answers
9514 1404 393
Answer:
18050 square feet
Step-by-step explanation:
Let x represent the length of fence parallel to the creek. Then the remaining 380-x feet of fence is divided between the two ends of the pasture. The area will be the product ...
A = (x)(1/2)(380 -x)
The graph of this is a parabola that opens downward. It has x-intercepts at x=0 and x=380. The vertex (maximum) will be on the line of symmetry, halfway between these zeros, at x = (0 +380)/2 = 190.
Then the area is ...
A = (190 ft)(1/2)(380 -190 ft) = (190 ft²)/2 = 18,050 ft²
The maximum possible area of the pasture is 18,050 square feet.
Find the value of x. enter value only
Answers
Answer:
9
Step-by-step explanation:
The product of the secant lengths BC and BD is equal to the square of the tangent length BA.
BC×BD = BA²
3×(3 +x) = 6²
3 +x = 12 . . . . . divide by 3
x = 9 . . . . . . subtract 3
_____
Additional comment
Sometimes the relationships involving secants, tangents, and chords can be difficult to remember. There is basically one rule that applies to all of these geometries:
the product of segment lengths to the circle from the point of intersection of the secants/tangents/chords is the same
A tangent can be thought of as a secant that has a length of 0 between its end points. That is, the two lengths from the point of intersection to the circle are the same.
Here is an example of this rule applied to chords:
https://brainly.com/question/27160911
Leslie sold 2 1/2 dozen sweet rolls