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3 years ago

Rewrite the equation by completing the square. x^2 + 2x – 48 = 0

Mathematics

1 answer:

slamgirl [31]3 years ago

3 0

Answer:

(x+1)^2 = 49

x = 6 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1 ±7

x = -1+7 x = -1 -7

x = 6 x = -8

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Read 2 more answers

Question 13 (4 points) (05.03) Which of the following statements best describes the graph of -5x + 2y = 1? (4 points)

alexandr1967 [171]

Answer:

C) straight line through (1, 3) ... (-3, -7)

Step-by-step explanation:

The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.

<h3>intercepts</h3>

The x-intercept is the value of x that satisfies the equation when y=0.

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x = -1/5 . . . . . . divide by the coefficient of x

The y-intercept is the value of y that satisfies the equation when x=0.

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<h3>nature of the graph</h3>

The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.

Of the offered answer choices, A and B are eliminated because the graph is <em>not a curve</em>. D is eliminated because the suggested points have coordinates with <em>opposite signs</em>. The correct choice is C:

It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)

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