All categories

3 years ago

For each linear equation write the slope of a line perpendicular to the given line. 1) y=-2/7x + 5 2) 3x + 5y = –15

Mathematics

1 answer:

den301095 [7]3 years ago

3 0

Hey there! I'm happy to help!

The slope of a perpendicular line is always the negative reciprocal of the original.

QUESTION 1

For the first one, we have a slope of -2/7. To find the reciprocal you flip the numerator and denominator, giving us -7/2. Then, we want the negative reciprocal, so since two negatives make a positive our perpendicular slope is 7/2.

QUESTION 2

Let's first rearrange our equation to be in slope intercept form.

3x+5y=-15

Subtract 3x from both sides.

5y=-3x-15

Divide both sides by 5.

y=-3/5x-3

First we find the reciprocal of -3/5, which is -5/3. This is the normal reciprocal, but we want the negative one, and since two negatives makes a positive, our slope is 5/3.

Have a wonderful day! :D

You might be interested in

Is 0.917 rational or irrational

Stella [2.4K]

rational, because irrational numbers go on forever and ever

this decimal stops at 7, if a number has an end to it it's rational

an irrational number would be π (pi) since it goes on forever

3 0

3 years ago

Perimeter of a rectangle is 52 feet. If the length is 10 less than 2 times the width, what is the width?

ella [17]

Step-by-step explanation:

Let the width be x feet.

Therefore, length = 2x - 10

Perimeter of rectangle = 52

$2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \: 3x - 10 = \frac{52}{2} \\ \therefore \: 3x - 10 = 26\\ \therefore \: 3x = 26 + 10\\ \therefore \: 3x = 36 \\ \therefore \: x = \frac{36}{3} \\ \therefore \: x = 12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}$

6 0

3 years ago

-8 -3 8 M= - 3 --4.5

Gre4nikov [31]

Answer:

Step-by-step explanation:-7/2

is the answer

8 0

3 years ago

PLEASE HELP! WILL GIVE BRAINLIST!

mr_godi [17]

Answer: here is all the answers for assess it #70: day 122

1. F(x) = 225x + 45

2. F (x)= 7x - 105

3. the function would be a curved line if you were to graph it using intercepts or a simple function table

4. The x-intercept is (10,0)

5. All of the above

3 0

3 years ago

How would the plane have to intersect the solid to produce a circle ?

konstantin123 [22]

Answer:

It can intersect the solid perpendicularly at both edge, this will automatically create a cross section thereby a circular shape is formed.

Step-by-step explanation:

When the plane is placed perpendicularly, cutting through both edges produces two cross section which in turn creates a circle.

5 0

4 years ago

For each linear equation write the slope of a line perpendicular to the given line. 1) y=-2/7x + 5 2) 3x + 5y = –15​

For each linear equation write the slope of a line perpendicular to the given line. 1) y=-2/7x + 5 2) 3x + 5y = –15