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3 years ago

Solve by completing the square x^2+6x=3

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

x=-2√3 -3, 2√3 -3

Step-by-step explanation:

x^2+6x=3

x^2+6x+9=3+9

(x+3)^2=12

x+3=±√12

1). x+3=√12

x+3=2√3

x=2√3 -3

2). x+3=-√12

x=-2√3 -3

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Answer as many as you can please (write in slope-intercept form)

RoseWind [281]

Answer: See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{1-13}{3-(-6)} =\frac{-12}{9}$

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

$y=-\frac{12}{9} x+b$

$3=-\frac{12}{9}(1)+b$

$-\frac{9}{4} =b$

The slope-intercept form is $y=-\frac{12}{9} -\frac{9}{4}$ .

For the third one, we are already given the slope, so all we have to do is find b.

$y=-\frac{1}{2}x +b$

$-7=-\frac{1}{2} (-4)+b$

$-7=2+b$

$-9=b$

The slope-intercept form is $y=-\frac{1}{2} x-9$ .

For the last one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{-8-2}{3-1}=\frac{-10}{2} =-5$

Now that we have our slope, we can plug it into our slope-intercept form and find b.

$y=-5x+b$

$2=-5(1)+b$

$2=-5+b$

$7=b$

Our slope-intercept form is $y=-5x+7$ .

4 0

4 years ago

1. What is the coefficient in the expression: 3 + 6x

Zepler [3.9K]

Answer: 6

Step-by-step explanation:

6 is the only number next to x and is multiplying with it (ex: 6x would be a coefficient but 6+x would not)

3 0

3 years ago

HELP I NEED HELP ASAP

lilavasa [31]

Answer:

I think it its

Step-by-step explanation:

C if its wrong sorry

8 0

3 years ago

The equation of a line is y=-2x+1. What is the equation of a line that is parallel to the first line and passes through (2,2)

Alex

The answer is y=-2x+6

We know the slope of the given equation is -2. A parallel line must have the same slope as the original function. So if we plug in the coordinates and the slope into the point slope formula we get y=-2x +6

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3 years ago

Which statement is true?

m_a_m_a [10]

D. All squares are quadrilaterals. Good luck!<span />

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