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4 years ago

Question 16 of 40

Mathematics

1 answer:

Irina-Kira [14]4 years ago

8 0

Answer:

Option C. $(x+3)^2=13$

Step-by-step explanation:

we have

$x^2+6x-4=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^2+6x=4$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^2+6x+3^2=4+3^2$

$x^2+6x+9=13$

Rewrite as perfect squares

$(x+3)^2=13$

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3 years ago

Read 2 more answers

Write an equation in slope intercept form. Y-2/3x=3;(-6,1)

icang [17]

We won't be using the given point (-6,1), since it won't really help us to get our answer.

$y-\dfrac{2}{3} x=3$

Add 2/3x to both sides of the equation.

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The 2/3x on the left side will cancel each other out.

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3 years ago

a rectangle has a perimeter of 204 feet. Its length is six feet longer that twice its width. find the dimensions

frutty [35]

Answer:

The length of the rectangle is 70 cm

The width of the rectangle is 32 cm

Step-by-step explanation:

Given:

perimeter of the rectangle = 204 feet

Its length is six feet longer that twice its width

To Find:

The dimensions of the rectangle = ?

Solution:

Let the width of the rectangle be x

Then its length is six feet longer that twice its width.

That is length = 6 + 2x

Now we know that the perimeter of the rectangle is

perimeter = 2(length + width)

204 = 2(6+2x+x)

204 = 2(6+3x)

204 = 12 +6x

204 - 12 = 6x

192 = 6x

x = $\frac{192}{6}$

x = 32

Thus the width is 32 cm

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=6 + 2x

=6 + 2(32)

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= 70 cm

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3 years ago