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3 years ago

Find the slope of a line perpendicular to Y= -x -1

Mathematics

1 answer:

ad-work [718]3 years ago

8 0

<h2>Greetings!</h2>

Answer:

The slope is 1.

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -x, or -1x, the slope of this line is -1

When finding the slope of a line perpendicular, you need to find the $\frac{-1}{slope}$

So, in this case it is:

$\frac{-1}{-1}$

The minuses cancel out, leaving with 1 over 1 or 1/

So the slope of the line perpendicular is 1!

<h2>Hope this helps!</h2>

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Step-by-step explanation:

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2 years ago

What is the solution of the system? Use either the substitution method or the elimination method. 4x + 2y = 104x + 2y = 10 x − y

bixtya [17]

4x+2y=10 Equation 1
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
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y=-7
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Answer: (6,-7)

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3 years ago

About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering st

Ksenya-84 [330]

Answer:

"6 out of 10 people" means the ratio of class:no_class is 6:4

990/10 = 99, the smallest the "class" and the "no_class" add up to is 10. And, generally, the total divides with that nicely, as in this case.

99(6) = 594 ----------- probably class

99(4) = 396 ------------------ probably no class

Total = 990

I hope this helps

Step-by-step explanation:

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4 0

3 years ago

Which of the following is the solution to 9|x +4|>54 ?

horsena [70]

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6 or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4 or x+4-4 < -6-4

x>2 or x<-10

4 0

3 years ago

The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge

Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

$x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7$

Slope (m) = $\frac{5}{4}$

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$$\frac{5}{4}=\frac{r-1}{-7-(-15)}$

$$\frac{5}{4}=\frac{r-1}{-7+15}$

$$\frac{5}{4}=\frac{r-1}{8}$

Do cross multiplication.

$8 \times 5=4(r-1)$

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

6 0

3 years ago