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kow [346]
3 years ago
13

Which of the following represents the multiplicative inverse of -90?

Mathematics
2 answers:
Fynjy0 [20]3 years ago
6 0
I think the answer is B
storchak [24]3 years ago
4 0
B because -90/1 and inverse is -1/90
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The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the tr
Anvisha [2.4K]

Answer:

<em>Shorter leg=3</em>

<em>Longer leg=4</em>

Step-by-step explanation:

<u>Equations</u>

In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:

a^2=b^2+c^2

Let's call

x=the shorter leg of the triangle

The longer leg is 1 cm longer than the shorter leg, thus:

x+1=the longer leg.

Since the hypotenuse is 5 cm long:

5^2=x^2+(x+1)^2

Operating:

25=x^2+x^2+2x+1

Swapping sides and simplifying:

2x^2+2x+1=25

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2x^2+2x-24=0

Dividing by 2:

x^2+x-12=0

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We have two possible solutions:

x=3, x=4

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If x=3, x+1=4

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Thus, the solution is:

Shorter leg=3

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