All categories

2 years ago

Complete the equation of the line through (-1,6) (7,-2) Like Y= ??

Mathematics

1 answer:

alina1380 [7]2 years ago

6 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-1, 6) and (7, -2). Substitute:

$m=\dfrac{-2-6}{7-(-1)}=\dfrac{-8}{8}=-1\\\\y-6=-1(x-(-1))\\\\y-6=-(x+1)\\\\y-6=-x-1\qqiad|\text{add 6 to both sides}\\\\\boxed{y=-x+5}$

You might be interested in

Pls help w work shown!!

Readme [11.4K]

Answer:

D) 74

Step-by-step explanation:

1c = 6p

1c = 1.5f

1f = 296

6/1.5 = 4

296/4 = 74

6 0

2 years ago

Thirty percent of the fifth grade students in a large school district read below grade level. The distribution of sample proport

fredd [130]

Answer: 0.9088

Step-by-step explanation:

Given : $\mu=0.30$

$\sigma=0.045$

Let x be a random available that represents the proportion of students that reads below grade level .

Using $z=\dfrac{x-\mu}{\sigma$ , for x= 0.36 , we have

$z=\dfrac{0.36-0.30}{0.045}=1.33333$

Using standard normal z-value table,

P-value $= P($

$P(z$ [Rounded yo the nearest 4 decimal places.]

Hence, the probability that a second sample would be selected with a proportion less than 0.36 = 0.9088

7 0

2 years ago

The product of 3 and a number is at<br> most 21.

stiv31 [10]

Answer:

n = 7

Step-by-step explanation:

3n = 21

n = 7

7 0

2 years ago

Read 2 more answers

Tracey is counting all the change she has been saving in her car. She only collects silver coins and finds that she has eight le

Mademuasel [1]

Imma say i just took like 15 min doing this so when i did q20 d28 n36 i got 9.60 but when i did q19 d26 n34 i got 9.05 so pick your choice

3 0

3 years ago

Determine if the function f(x) = 4√x − 3x satisfies the Mean Value Theorem on [4, 49]. If so, find all numbers c on the interval

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

The mean value theorem states that for a continuous and differentiable function on a interval there exists a number c from that interval, that

$f'(c)=(f(b)-f(a))/(b-a)$

First we must determine the endpoints:

$f(49)=-119$

$f(4)=-4$

We find the derivative of the function, f'(c)

$f'(c)=3+2\sqrt{c}$

Therefore:

$3+2\sqrt{c}=((-119)-(-4))/((49)-(4))$

Simplify:

$3+2\sqrt{c}=-23/9$

$c=81/4$

7 0

3 years ago