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3 years ago

Why do some absolute value equations have no solution?

2 answers:

7 0

An absolute value is the distance from 0 on a number line so it must be a positive number, and so because of that it is impossible to get or equal -1, this equation has no solution.

DerKrebs [107]3 years ago

6 0

Because both positive and negative values have<span> a positive </span>absolute value.

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The formula A=P(1+r)t is used to show the total amount owed for a loan with a simple annual interest rate.

vodka [1.7K]

We are asked to express r in terms of A, P, and t.

We first divide both sides of the equation by t, which gives us

$\displaystyle{ \frac{A}{t}=P(1+r)$ ,

then, dividing both sides by P, we have

$\displaystyle{ \frac{A}{Pt}=1+r$ .

Swap the sides:

$\displaystyle{ 1+r= \frac{A}{Pt}$

Finally subtracting 1 from both sides gives us

$\displaystyle{ r=\frac{A}{Pt}-1$ .

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3 years ago

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3 years ago

What are the values of a and b?

ivann1987 [24]

Answer:

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

$\dfrac{a}{20}=\dfrac{20}{21}$ <em>cross multiply</em>

$21a=(20)(20)$ <em>divide both sides by 21</em>

$a=\dfrac{400}{21}$

For b, we can use the Pythagorean theorem:

$b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}$

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juin [17]

Answer:

<em>the answer is K for #9</em>

Step-by-step explanation:

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sdas [7]

Answer:

Step-by-step explanation:

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2 years ago