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ddd [48]
2 years ago
6

Solve the system of equations. y=4x+5y=x2+12x+20

Mathematics
1 answer:
Viefleur [7K]2 years ago
3 0

Answer:

 \begin{pmatrix}x=-3,\:&y=-7\\ x=-5,\:&y=-15\end{pmatrix}\\

Step-by-step explanation:

\begin{bmatrix}y=x^2+12x+20\\ y=4x+5\end{bmatrix}

\mathrm{Subtract\:the\:equations}

y=x^2+12x+20

y-y=x^2+12x+20-\left(4x+5\right)

\mathrm{Simplify}

0=x^2+8x+15

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Which expression is equivalent to \sqrt(-80)?
DedPeter [7]
√-80 can be factored out, to see which factors can be square rooted. A pair of factors would be 16 and -5, so that would be 4√-5. But, negative numbers cannot be inside a square root. So, √-1 is the same thing as <em>i</em>, or <u>imaginary number</u>. So, the expression equivalent to √-80 is 4<em>i</em>√5.
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If 2+2 is 4 than what is 10+10
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Answer:

Step-by-step explanation:

10 +10=20

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2⋅(36⋅3−5) . evaluate
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Answer:

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What is the significance of the point of intersection of a pair of simultaneous equations
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Answer:

The point of intersection gives the solution set(s) of the associated system.

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7 0
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For each of the figures, write an absoulute value equation that has the following solution set.
laila [671]

The solution set -18 and 0 are the true values of the absolute value equation

The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

<h3>How to determine the absolute value equation?</h3>

From the figure, the solution sets of the absolute value equation are given as:

x = {-18, 0}

Calculate the mean of the solution set

Mean = 0.5 * (-18 + 0)

Mean = -9

Calculate the difference of the solution set divided by 2

Difference = (0 + 18)/2

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The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x + 9| = 9

Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

Read more about absolute value equation at:

brainly.com/question/2166748

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