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hodyreva [135]
2 years ago
8

In a right triangle has one leg that measures 11 in and the hypotenuse measures 47 in, what is the length of the other leg?

Mathematics
1 answer:
Wewaii [24]2 years ago
4 0

Using the Pythagorean theorem:


47 ^2 = 11^2 + x^2

2209 = 121 + x^2

Subtract 131 from both sides

2088 = x^2

Take the square root of both sides

X = sqrt(2088)

Simplify

X = 6sqrt(58)

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Expand and simplify: (-7y - 8) (y - 4)
ZanzabumX [31]
<h2><u>Simplification</u></h2>

<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>

To expand an expression, use FOIL method.

<h3><u>F - First</u></h3>

  • Multiply the first term in each expression inside the parentheses.

<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.

<u>(-7y)(y) = -7y²</u>

<h3><u>O - Outside </u></h3>

  • Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)

<u>-7y</u> is the first term in the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

<u>(-7y)(-4) = 28y</u>

<h3><u>I - Inside</u></h3>

  • The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)

<u>-8</u> is the last term in the <u>first expression</u>

<u>y</u> is the first term in the <u>second expression</u>

<u>(-8)(y) = -8y</u>

<h3><u>L - Last</u></h3>

  • Last step is to multiply the last term in each expression.

<u>-8</u> is the last term of the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

<u>(-8)(-4) = 32</u>

Combine all simplified terms.

  • -7y² + 28y - 8y + 32
  • -7y + 20y + 32

<u>Answer:</u>

  • <u>-7y + 20y + 32</u>

Wxndy~~

8 0
1 year ago
Create a linear equation based on an experience in your everyday life. In this experience, a variable should depend on at least
Brums [2.3K]

The equation that represent the total salary that I earn for working x hours in a week is y = 10x

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let y represent the total salary earned by working x hours, hence, if I earn $10 per hour:

y = 10x

The equation that represent the total salary that I earn for working x hours in a week is y = 10x

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
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