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alex41 [277]
3 years ago
11

If anyone can help me I will really appreciate!!

Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Answer:

The decimal form of the equation is y = 2.5x + 10

The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5

===========================================================

Explanation:

We can pick any two columns from the table to form the two points needed.

I'll pick the first two columns

(1, 12.5)

(2, 15)

Then apply the slope formula to those points

m = (y2-y1)/(x2-x1)

m = (15-12.5)/(2-1)

m = (2.5)/(1)

m = 2.5

Now use that slope with either point mentioned to find the y intercept b.

y = mx+b

12.5 = 2.5*1 + b

12.5 = 2.5 + b

12.5 - 2.5 = b

10 = b

b = 10

Or

y = mx+b

15 = 2.5*2+b

15 = 5+b

15-5 = b

10 = b

b = 10

We end up with the same b value.

We found that m = 2.5 is the slope and b = 10 is the y intercept

Therefore we go from y = mx+b to y = 2.5x + 10

This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2

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Answer:

The solution of the first image is: b = √48

The solution of the second image is: c = √125

Step-by-step explanation:

Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.

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A^2 + B^2 = H^2

Where H is the side that is opposite to the right angle (the angle of 90°)

In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.

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