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Goshia [24]
3 years ago
6

Rewrite x^2+12x+42 in the form (x+b)^2 +c

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0
This is completing the square:

(x^2+12x+36)+42-36

Answer: (x+6)^2 +6
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Solve the compound inequality. Graph your solution. 2x – 2 < –12 or 2x + 3 > 7 x < –5 or x > 5 x < –5 or x > 2
Brilliant_brown [7]

Answer:

The solution region is x < –5 and x > 2

Step-by-step explanation:

We are given the inequalities, 2x–2 < –12 or 2x+3 > 7

Upon simplifying the inequalities, we get,

A. 2x-2 < -12

2x-2 < -12 i.e. 2x < -10 i.e. x < -5

B.  2x+3 > 7

2x+3 > 7 i.e. 2x > 4 i.e. x > 2

So, we get the solution is x or x>2 and the plotted region can be seen below.

4 0
3 years ago
The angle measurements in the diagram are represented by the following expressions.
aliya0001 [1]
Angle a and b are supplementary angles which means that when added they equal 180.
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8x+74+2x+56=180
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then subtract 130 from both sides.
10x=50
x=5

So we plug in 5 to find the measure of b.
2(5)+56=b
10+56=b
66=b
the measure of angle b is 66 degrees
8 0
3 years ago
Item 6
Strike441 [17]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.
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The answer in standard form is x^2+x-12.
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3 years ago
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