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kvasek [131]
3 years ago
11

Solve x2 + 12x + 6 = 0 using the completing-the-square method.

Mathematics
1 answer:
exis [7]3 years ago
7 0
X^2+12x+6=0  subtract 6 from both sides...

x^2+12x=-6  halve linear coefficient, square it, and add it to both sides...

x^2+12x+36=30  now the left side is a perfect square...

(x+6)^2=30  take square root of both sides...

x+6=30^(1/2)  subtract 6 from both sides...

x=-6-30^(1/2) and -6+30^(1/2)

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The measure of an interor angle of a regular polygon is given. Find the number of sides in the polygon.
EleoNora [17]

Let side be n

#1

\\ \sf\longmapsto 120n=(n-2)180

\\ \sf\longmapsto 120n=180n-360

\\ \sf\longmapsto -60n=-360

\\ \sf\longmapsto n=6

#2

\\ \sf\longmapsto 160n=(n-2)180

\\ \sf\longmapsto 160n=180n-240

\\ \sf\longmapsto -20n=-240

\\ \sf\longmapsto n=12

#3

\\ \sf\longmapsto 144n=(n-2)180

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6 0
2 years ago
Someone help me asap please.
zaharov [31]

15. x ≤ -24

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16. z > -12

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17. 185 + c > 410; c > 225


18.   C.

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7 0
3 years ago
Jolene is playing basketball, She scored 11 basket in 15 free throws, What is the experimental probability that she will score a
Allisa [31]

Answer:

73%

Step-by-step explanation:

\frac{11}{15}  =

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3 0
3 years ago
Becky wants to fence in a rectangular play area for her dog. If she wants the length of the play area to be 9 feet longer than h
Firdavs [7]

Answer:

The dimension of the play area written algebraically is y²/2 + 9y

Step-by-step explanation:

Let the be x and the width be y

If the length is to be 9 feet longer than half the width,

hence y/2 + 9 = x

hence dimension of the area = (y/2 + 9) × y = y²/2 + 9y

4 0
2 years ago
Read 2 more answers
What would be 82% of 50
MrRissso [65]
10% = 5
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2% = 1
82% = 41

41
5 0
2 years ago
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