Answer: (6,16)
(6,2)
(-2,8)
(14,8)
The graph shows a nonlinear function. This is because the line is not straight. I hope this helps :) <span />
Answer:
Step-by-step explanation:
Given problems are absolute value problems, So we need to plug the values of given parameters and get the final result.
We have given here,
a =-2 , b = 3 , c = -4 and d = -6
Now we know that An absolute function always gives a positive value.
Let's apply this strategy in the given problems.
1. ║a+b║
Plug a= -2 and b = 3
We get, ║-2+3║=║1║= 1
2. 5║c+b║
Plug c= -4 and b=3
i.e. 5║-4 + 3║= 5║-1║=5×1 = 5
3. a+b║c║
Plug values a= -2 , b=3 and c=-4
i.e -2 +3║-4║ = -2 + 3×4 = -2 + 12 = 10
4. ║a+c║÷(-d)
i.e ║-2 + (-4)║÷(-6) = ║-6║÷(-6) = 6÷(-6) = -1
5. 3║a+d║+b
i.e 3║-2+(-6)║+3 = 3║-8║+3 = 3×8 +3 = 27

Factor each of the following differences of two squares and write your answer together with solution.

<h3><u>1. x² - 36</u></h3>

Rewrite
. The difference of squares can be factored using the rule:
.

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<h3><u>2. 49 - x²</u></h3>

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule:
.

Reorder the terms.

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<h3><u>3. 81 - c²</u></h3>

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule:
.

Reorder the terms.

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<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

Rewrite m²n² - 1 as
. The difference of squares can be factored using the rule:
.

Answer: 
Move all terms containing y to the left, all other terms to the right
<u>Add -14y to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 5y + -14y = -9y
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 14y + -14y = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Add '20' to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: -20 + 20 = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 7 + 20 = 27
</u>
<u></u>
<u></u>
<u></u>
<u>Divide each side by -9</u>
<u></u>
<u></u>