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Reika [66]
2 years ago
14

Find the equation (in terms of x) of the line through the points ( − 1 , − 1 ) and( 4 , − 4 )

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
7 0

Answer:

y = -\frac{3}{5}x -\frac{8}{5}

Step-by-step explanation:

Given

(x_1,y_1) = (-1,-1)

(x_2,y_2) = (4,-4)

Required

Determine the line equation

First, calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-4 - (-1)}{4 - (-1)}

m = \frac{-4 +1}{4 +1}

m = \frac{-3}{5}

m = -\frac{3}{5}

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - (-1) = -\frac{3}{5}(x - (-1))

y + 1 = -\frac{3}{5}(x +1))

Open bracket

y + 1 = -\frac{3}{5}x -\frac{3}{5}

Make y the subject

y = -\frac{3}{5}x -\frac{3}{5}-1

y = -\frac{3}{5}x +\frac{-3-5}{5}

y = -\frac{3}{5}x +\frac{-8}{5}

y = -\frac{3}{5}x -\frac{8}{5}

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Mrac [35]
Answer:
The percentage of people surveyed that were satisfied with the car is 55%.
Step-by-step explanation:
The statement indicates that in a survey 1,100 people of 2,000 surveyed said that they would buy the car they have again and from this, you can inferred that they are satisfied with the car. So, to calculate the percentage of people surveyed that were satisfied with the car you have to divide 1,100 by 2,000 that is the total number of people surveyed and then, multiply the result by 100:
1,100/2,000=0.55*100= 55%

Read more on Brainly.com - brainly.com/question/5991333#readmore
7 0
3 years ago
BRAINLEIST!!!! You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or
Alex
We are given
P = $754.43
r = 13.6% annual

for a.
A = 150
for b.
A = 300

First, change the interest into effective monthly
i = (1 + 0.136/12)^12 - 1
Solve for i

Next, use the general formula
A = P i ( 1 + i)^n / (1 + 1)^n - 1
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6 0
3 years ago
A variable needs to be eliminated to solve
lesya692 [45]

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

- 4(7) + y = - 35

- 28 + y = - 35 ( add 28 to both sides )

y = - 7

solution is (7, - 7 )

6 0
2 years ago
The radius r of a sphere is 12 units. Find the volume of the sphere. Write your answer in terms of pie
Tamiku [17]

https://socratic.org/questions/what-is-the-volume-of-a-sphere-with-a-radius-of-12-units

the answer is on here

6 0
3 years ago
Select all the solutions to the quadratic equation x2-4x-12=0
pav-90 [236]
It can be factored.

We need two numbers that multiply to -12 and add to -4, so are two terms would be -6 and 2.

(x - 6) (x + 2) = 0

x = 6
x = -2
6 0
2 years ago
Read 2 more answers
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