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marshall27 [118]
1 year ago
8

What is the measure of one side of the square if its area is 100x² - 160x + 64?

Mathematics
1 answer:
earnstyle [38]1 year ago
8 0

The Area of a Square is the square of the measure of one side of the square.

Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.

The given expression is:

100x^2-160x+64

Rewrite the expression as:

\begin{gathered} 10^2x^2-(2\times10\times8)x+8^2 \\ =(10x)^2-(2\times10x\times8)+8^2 \end{gathered}

Recall the binomial expansion:

(a-b)^2=a^2-2ab+b^2

Substituting a=10x and b=8, it follows that the expression becomes:

(10x-8)^2

Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.

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Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s
Leya [2.2K]

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

h(x) = f(x) + g(x)         h(x) = f(x) - g(x)

h(x) = \frac{f(x)}{g(x)}                   h(x) = f(g(x))

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The approach or formula to use depends on the question.

In this case, the combined function is:

f(x) = 75+ 10x

The savings function is given as

s(x) = 85

The allowance function is given as:

a(x) = 10(x - 1)

The new function that combined his savings and his allowances is calculated as:

f(x) = s(x) + a(x)

Substitute values for s(x) and a(x)

f(x) = 85 + 10(x - 1)

Open bracket

f(x) = 85 + 10x - 10

Collect like terms

f(x) = 85  - 10+ 10x

f(x) = 75+ 10x

Read more about functions at:

brainly.com/question/15458447

4 0
3 years ago
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How do i solve 2k^2-5k-18=0
devlian [24]

Answer:

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the answer is K= 9/2 or K =-2

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3 years ago
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Answer:

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Step-by-step explanation

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8 0
3 years ago
If a company uses $1,410 of its cash to purchase supplies, the effect on the accounting equation would be:
grin007 [14]

The above mentioned transaction will affect the Assets side of the accounting equation or the Assets side of the balance sheet

Since we use cash of $1,410 the cash account would be debited with $1,410. In other words cash will be reduced by $1,410

Since the cash is used to purchase supplies, the inventory will be credited with $1,410. This means the inventory would be increased by $1,410.

Hence in conclusion, the two accounting activities would be a debit of $1,410 on cash and a credit of $1,410 on the inventory. So the net of the Assets remains unchanged.

4 0
4 years ago
Why is 5 a rational number?
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<span>Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number.  i hope this helps you</span>
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