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White raven [17]
3 years ago
9

Solve the equation by completing the square 5x(x+6)=-50

Mathematics
1 answer:
motikmotik3 years ago
3 0
First lets distribute the 5x 
5x^2 + 30x = -50

Lets divide every term by 5 
x^2 + 6x = -10 

To complete the square we have to half the b value, which in this case is 6. Then square it. 
Half of 6 is 3, 3 squared is 9 

Add that to both sides of the equation 
x^2 + 6x + 9 = -1 

Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment) 

(x+3)^2 = -1 

Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and 
x = -3 + i


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7 0
3 years ago
Kevin decides to build a square for his play park. If the area of the room is 4x^2 + 28x + 49 square feet, what is the length of
leva [86]
We have to factor becasue
area=legnth times width
area=4x^2+28x+49
area=(2x+7)(2x+7)
area=(2x+7)^2
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8 0
3 years ago
15 is what percent of 20
Lera25 [3.4K]
100%/x%=20/15
(100/X)*x=20/15*x   --I multiply both sides of the equation by X
100=1.33333333333*x --I divided both sides of the equation by                     .........................................(1.33333333333) to get X
100/1.33333333333=x
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15 is 75% of 20

6 0
3 years ago
Which best describes the complement of spinning any number less than 3?
tatuchka [14]

Answer:

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Explanation:

The complement of a subset is the subset of elements that are not in the given subset.

You must know which numbers the spinner has.

Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.

Then, that is spinning a number that is equal to or greater than 3.

The numbers that are equal to  or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.

Thus, the complement of spinning any number less than 3 is spinning a three or a four.

8 0
3 years ago
Use the Remainder Theorem to determine f(2) when f(x) = -x3 + 6x - 7
saul85 [17]

Step-by-step explanation:

f(2)= -2×2×2+ 6×2 -7

=-8+12-7

=-3

7 0
3 years ago
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