All categories

3 years ago

Expand then simplify: 12(2p-3)

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Answer:

expanding ends in the simplest form: 24p-36

Step-by-step explanation:

You might be interested in

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Z^2+1+y when y=4, and z=3.

OlgaM077 [116]

3^2+1+4=14 the answers 14

7 0

2 years ago

The length of a flag is 0.3 foot less than twice its width. if the perimeter is 14.4 feet longer than the width, find the dimens

dem82 [27]

3.0 by 3.6 would be the dimensions

3 0

3 years ago

MARKING BRAINLIEST AND GIVING LOTS OF POINTS TRIPLE PLEASE ANSWERS ASAP!!!’

steposvetlana [31]

found this online, hope it helps !!

8 0

2 years ago

What percent of 20 is 5?

elena-s [515]

Answer:

25%

Step-by-step explanation:

5 ÷ 20 = 0.25 (multiply by 100 to make a percentage)

0.25 x 100 = 25%

Hope this helped :-)

4 0

2 years ago