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1 year ago

Solve by completing the square

Mathematics

1 answer:

xz_007 [3.2K]1 year ago

7 0

Step-by-step explanation:

${x}^{2} + 2x - 2 = 0$

Now Adding three on both sides we get

${x}^{2} + 2x - 2 + 3 = 0 + 3$

${x}^{2} + 2x + 1 = 3$

${(x + 1)}^{2} = 3$

You might be interested in

Find the surface area of a sphere with a volume of 36π in3.

swat32

First use known volume to solve for radius:
$V=\frac{4}{3}\pi r^{3}$
$r=\sqrt[3]{\frac{3V}{4\pi}}$
$r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}$
$r=\sqrt[3]{27}$
$r=3$

Then use the radius to get the surface area:
$A_{surf}=4 \pi r^{2}$
$A_{surf}=4 \pi 3^{2}$
$A_{surf}=4 \pi 9$
$A_{surf}=36\pi\approx113.09$

6 0

3 years ago

Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.

8090 [49]

Answer:

- 2x + y = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

7 0

3 years ago

Volume = cm3 cylinder

Citrus2011 [14]

That is true but that’s not all units that are known for volume

4 0

3 years ago

Here’s a graph of a linear function. Write the equation that describes that function

inessss [21]

Answer:

The equation of the line is y = 1/4x - 4

Step-by-step explanation:

In order to find this, start with two points that are on the line. We'll use (0, -4) and (4, -3). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - -3)/(0 - 4)

m = -1/-4

m = 1/4

Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.

y - y1 = m(x - x1)

y - -4 = 1/4(x - 0)

y + 4 = 1/4x

y = 1/4x - 4

8 0

3 years ago

Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the t

SOVA2 [1]

3:15

Step by step explanation:

10:45
-7:30
———
3:15

6 0

2 years ago