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densk [106]
3 years ago
5

A line passes through the point(4,-1) and (2,3). What is the slope of the line

Mathematics
1 answer:
sasho [114]3 years ago
7 0
Slope is found using the equation (y2-y1)/(x2-x1)
So we can plug the numbers into the equation

(-1)-3/ 4-2
(-1)-3= -4
4-2=2 

The equation is now -4/2
-4/2= -2

So the slope of the line is -2

Which can also be written as y=-2x
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Answer:

√161 yd

Step-by-step explanation:

Hi there!

We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.

We need to find x, which is the other leg in the triangle

If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse

In this case, a=8, b=x, and c=15

So let's substitute those values into the formula

(8)²+x²=(15)²

raise everything to the second power

64+x²=225

subtract 64 from both sides

x²=161

take the square root of both x and 161

x=√161, x=-√161

-√161 cannot work in this case, as distance cannot be negative.

The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further

so the answer is <u>√161 yd</u>

Hope this helps! :)

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3 years ago
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Answer:

Step-by-step explanation:

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Find the area and perimeter
mihalych1998 [28]

Answer:

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Step-by-step explanation:

given

the diagram is a rectangle

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we know that

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Area=72×31 square ft

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1 year ago
a recipe calls for 8 cups of raspberries for every 21 people how many cups of raspberries are needed for the same recipe that wi
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Answer:

64 cups of raspberries

Step-by-step explanation:

8=21

?=168

21/8=2.625

so

168 / 2.625= 64

I hope this helps :)

8 0
3 years ago
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