Solve the quadratic function by completing the square. What are the missing pieces in the steps?–32 = 2(x2 + 10x)
–32 + _____ = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± _____ = x + 5
x = –2 or x = ____
_____=missing pieces
Answers
- 32 = 2(x^2 + 10x)
- 32 + 50 = 2(x^2 + 10x + 25)
18 = 2(x + 5)^2
9 = (x + 5)^2
± sqrt(9) = x + 5
± 3 = x + 5
x = - 2 or x = - 8
The steps used in completing the square of the given quadratic equation have been detailed below.
How to complete the square of quadratic Equations?
The first step given is;
- 32 = 2(x² + 10x)
The next step is to add a square of half the coefficient of x. Which in this case is 50 to both sides.
Second step is;
-32 + 50 = 2(x² + 10x + 25)
Third step is to further simplify the left and favtorize the right to get;
18 = 2(x + 5)²
9 = (x + 5)²
Fourth step is to take square root of both sides to get;
±√9 = x + 5
±3 = x + 5
Thus;
x = - 2 or x = - 8
Read more about completing the square at; brainly.com/question/10449635
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Answers
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A and B
in the ratio m:n is given by:
Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:
Therefore the coordinates of point X is at (-13, -7)
Answers
Answer:
The first one.
Step-by-step explanation:
The fraction 4/7 represents the feet.
Answer:
A I’m pretty sure.
Step-by-step explanation:
Answers
hope i helped.
Find all the solutions in the interval [0,2pi)
Plz help.
Answers
as sin² x -cos² x=cos 2x
The equation is
cos 2x=0
==>2x=π/2+kπ
==>x=π/4+kπ/2 with k integer
Answers
To find mean, you need to add all numbers given, then divide by the amount of numbers you have, therefore:
96 + 100 + 72 + 85
353
353 / 4
88.25
Answers
The total cost he paid is $68.7
What is percentage?
Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part;
Given:
Bill for dinner is $57.25
20% tip was given
So, 20% on 57.25 is
=0.20 * 57.25
=11.45
Hence, total he paid = 57.25 +11.45 = 68.7
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Answer:
11.45 + 57.25
Step-by-step explanation:
$68.70 is the correct answer because the question asks WHAT IS THE TOTAL COST FOR THE DINNER