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inn [45]
3 years ago
6

The measures of the legs of a right triangle are 15 m and 20 m. Use the triangle measures and substitute the lengths for a and b

in the formula. a2+b2=c2
______ a2 + b __________ 2 = c 2 2 + 2 = c2
Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

25

Step-by-step explanation:

We can use the Pythagorean theorem to determine the length of the hypotenuse

a^2 + b^2 = c^2

15^2 + 20 ^2 = c^2

225 + 400 = c^2

625 = c^2

Take the square root of each side

sqrt(625) = sqrt(c^2)

25 = c

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What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2
Sergio039 [100]

Answer:

The value of the Rational expression when x=-2 is: -7

Step-by-step explanation:

For this exercise is important to remember:

  • When a negative number is raised to an even power, the result will be positive.
  • The multiplication of signs:

       (+)(+)=+\\(-)(-)=+\\(-)(+)=-

Then, given the following Rational expression:

\frac{2x^2+5x+9}{x^2+2x-1}

You need to follow these steps in order to find its value when x=-2:

1. Substitute the given value of "x" (x=2) into the expression:

 \frac{2(-2)^2+5(-2)+9}{(-2)^2+2(-2)-1}

2. Evaluate and simplify:

\frac{2(4)+5(-2)+9}{4+2(-2)-1}=\frac{8-10+9}{4-4-1}=\frac{7}{-1}=-7

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Factor this expression: 12 + 20
liberstina [14]

Answer:

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Step-by-step explanation:

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