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2 years ago

15

A line includes the points (7,4) and (8,6). What is it’s equation in slope- intercept form?

1 answer:

coldgirl [10]2 years ago

3 0

Answer:

Step-by-step explanation:

First you have to find the slope

M= y2-y1/ x2-x1.

6-4 / 8-7 = 2/1 or 2

Then you pick one set of coordinates and plug the information into the formula. It doesn't matter which set you use as long as you plug the information in correctly.

I will choose (6,4)

Slope intercept formula is y-y1 =m(x-x1)

Y-4=2(x-6)

Then you simplify.

Y-4=2x-12

+4. +4

Y=2x-8 is your solution.

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Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

$x+y=180^o$ ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

so

$x=120^o$

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

3 0

3 years ago

Find the measure of the indicated angle to the nearest degree

omeli [17]

$\boxed{\sf sin\Theta=\dfrac{P}{H}}$

$\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}$

$\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}$

$\\ \sf\longmapsto sin\Theta=0.5$

Convert to p/q form

$\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}$

$\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}$

$\\ \sf\longmapsto sin\Theta=sin30$

$\\ \sf\longmapsto \Theta\approx30°$

4 0

3 years ago

Please help . I’ll mark you as brainliest if correct!!!!!!

STatiana [176]

Answer:

3 are mushed

Step-by-step explanation:

You have 12 tomatoes

All but 9 get mushed

Total tomatoes = mushed + non mushed

12 = mushed +9

Subtract 9 from each side

12-9 = mushed+9-9

12-9 = mushed

3 = mushed

7 0

3 years ago

Read 2 more answers

What is 2x-4. I really don’t understand

ddd [48]

Answer:

2 * -4 = -8

Step-by-step explanation:

2 * -4 = -8

It is just like multiplying two numbers like... 2 * 4 = 8

You must need to know that:

+a * -b = -c

-a * -b = +c

+a * +b = +c

In your question;

+a * -b = -c

a = 2

b = -4

c = -8

therefore:

2 * -4 = -8

3 0

2 years ago

Help me solve this equation plz

Andrei [34K]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers