All categories

3 years ago

Make the expression below a perfect square by adding in a constant value: x^2+14x+_

1 answer:

lina2011 [118]3 years ago

7 0

[x^2 + 14x + (1/2•14)^2] - (1/2•14)^2

= [x^2 + 14x + (7)^2] - (7)^2

= (x+7)^2 - 49

If you need an explanation as to how, you can go ahead and ask

You might be interested in

Need help math testt

Serga [27]

Answer:

Step-by-step explanation:

8 0

2 years ago

What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

3 years ago

Read 2 more answers

I NEED HELP ASAP

loris [4]

Answer:

V = PI*r2h

In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.

Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.

V = pi * r2 * h

= pi * 32 * 5

= pi * 9 * 5

= 3.14 * 45

= 141.37 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.

6 0

3 years ago

An isosceles right triangle has<br>30 degree angles in its<br>interior.<br>B. False<br>A. True

Margarita [4]

False, an iso triangle has 2 equal sides like an icecream cone but are not limited to 30 degrees all the time.

7 0

3 years ago

Read 2 more answers

A sociologist is doing a study on journalists. He attends a journalism conference, where he randomly surveys 390 journalists abo

Natasha2012 [34]

If it’s referring to 137 out of 1700, divide 137 by 1700 and multiply by 100. same for the other, except you divide 137 by 390.

6 0

2 years ago