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mixas84 [53]
3 years ago
8

Absolute value help pls with work! |x|=10 . Says answer is {10,-10} i just don’t know how to get it

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

\huge \bf༆ Answer ༄

The value of x, for given problem is ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: |x|  = 10

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x =  \pm10

The required answers are + 10 and -10 because we can get | x | = 10 for both the values of x.

that is ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: |10|  = 10

and

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: | - 10|  = 10

I hope you understood ~

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The system of equations have no solution.

Explanation:

The equations are 4r+\frac{1}{2}s=12 and 2r+\frac{1}{4} s=8

To find the two numbers, let us solve the equations using substitution method.

From the equation 2r+\frac{1}{4} s=8, let us determine the value of r,

$\begin{aligned} 2 r+\frac{1}{4} s &=8 \\ 2 r &=8-\frac{1}{4} s \\ r &=\frac{1}{2}\left(8-\frac{1}{4} s\right) \\ r &=4-\frac{1}{8} s \end{aligned}$

Let us substitute the value of r in 4r+\frac{1}{2}s=12, we get,

$\begin{aligned} 4\left(4-\frac{1}{8} s\right)+\frac{1}{2} s &=12 \\ 16-\frac{1}{2} s+\frac{1}{2} s &=12 \\ 16 &=12 \end{aligned}$

which is not possible.

This means that the system has no solution.

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Can anyone explain how to do any of this?
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Answer:

qn 10. 15mn² - 23m²n +4m³

Step-by-step explanation:

1. distribute 4m through the parenthesis

8mn² - 12m²n + 4m³ - 2n(5m² - 3nm) + nm(n-m)

2. use the commutative property to reorder the terms

8mn² - 12m²n + 4m³ - 2n(5m² - 3mn) + mn(n - m)

3. distribute -2n through the remaining parenthesis

8mn² - 12m²n + 4m³ -10m²n + 6mn² + mn² - m²n

4. collect like terms

8mn² + 6mn² + mn² - 12m²n - 10m²n - m²n + 4m³

5. complete bodmas

15mn² - 23m²n +4m³

that's is how you do it so the answer is

15mn² -23m²n + 4m³

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