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bagirrra123 [75]
3 years ago
7

The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

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Answer:

1.

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2.

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Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that y=\frac{1}{4}x+2

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Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that    y=-\frac{1}{3}x+1

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that  y=3x+4

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2 years ago
I need help with this
snow_lady [41]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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REMEMBER PEMDAS

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