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bija089 [108]
3 years ago
5

What is an equation of the line that passes through the points (0,8) and (-8,-4)? What’s the answer in fully reduced form

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0

Answer:

y = 3/2(x)+8

Step-by-step explanation:

We can find the equation of the line by first finding the slope and the y-intercept. Then we can write the equation in slope-intercept for which is

y = mx+b where m is the slope and b is the y-intercept.

We are given two points (0,8) and (-8,-4). (0,8) is the y intercept which is the value of b. Since we have found the y-intercept, all we need to do now is find the slope given these two points.

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

m = (-4-8)/(-8-0)

m = (-12)/(-8)

m = 12/8

m = 3/2

So, the equation is y = 3/2(x)+8 and has been fully reduced.

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<h3>What is an Expression?</h3>

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A.) Let the male cheetah's average speed for the last month be represented by x.

Given the male cheetah runs at a speed of 26 mph, that is 30% faster than his average last month.

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2 years ago
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Step-by-step explanation:

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Because segments AB and BC are congruent, their corresponding angles (<BAD and <BCD) would also be congruent to each other, meaning that both would be 56°.

Knowing that triangles add up to 180°, the whole triangle (ABC) would then have 2 angles that are 56° and the top angle (<ABC) would be 68°

Splitting those in half ( because <ABD and <CBD are congruent), each would be 34° (thus x=34°)

Looking now at the two separate triangles (ABD and CBD), we can determine that both <BDA and <BDC are 90° (right angles) because 180-34-56=90°.

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