3 years ago

What is the area of the composite figure?

Mathematics

1 answer:

Liula [17]3 years ago

8 0

I cant see one of the numbers

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Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py

Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. $c^2=a^2+b^2$

Here, $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

Substitute the values,

$(x^2+1)^2=(x^2-1)^2+(2x)^2$

$x^4+1+2x^2=x^4+1-2x^2+4x^2$

$x^4+1+2x^2=x^4+1+2x^2$

LHS=RHS

It is a right triangle.

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3 years ago

What is the negative of -1/4

Vlad1618 [11]

The negative of it would be the positive so the answer is 1/4

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3 years ago

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If the lake is 60 miles away and Rene is driving at 40 miles a hour the whole time how long will it take for her to get to the l

Karolina [17]

60/40 = 1.5 So Renee will need to drive 40miles 1.5 times in order to
cover 60 miles.

Since her speed is exactly 40 mph, she'll need to keep it up for <em>1.5 hours</em>.

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2 years ago

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Five tickets to a baseball game cost $60. how much do 2 tickets cost

bija089 [108]

Answer:

Step-by-step explanation:

60/5 = 12

12*2=24

2 tickets are $24

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3 years ago