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Naddik [55]
3 years ago
15

Could I please have help (3m+5)-(6+5m)

Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

-2m -1

Step-by-step explanation:

(3m+5)-(6+5m)

Distribute the minus sign

(3m+5)-6-5m

Combine like terms

3m -5m +5 -6

-2m -1

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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.
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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

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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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3 years ago
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