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SVEN [57.7K]
3 years ago
6

What number must you add to complete the square? x^2+12x=-3

Mathematics
1 answer:
olasank [31]3 years ago
3 0
You have to add 36 to both sides of the equation in order to complete the square
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Ming throws a stone off a bridge into a river below.
AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

h(x)=-5(x-1)^2+45

Lets expand this in the form ax^2+bx+c, so we have:

h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

x=-\frac{b}{2a}

We know a and b, let's find the seconds, x,

x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1

Hence,

1 seconds after being thrown, the stone reach its max height

6 0
3 years ago
Read 2 more answers
The product of 10 and a number is 3 less than the number.
djverab [1.8K]

Answer:

-1/3

Step-by-step explanation:

The product of 10 and a number is 3 less than the number.

Ok, lets call this number x.

10x = x-3 is how to algebraically write this out.

now, lets subtract x from both sides

9x = -3

Divide by 9

x = -1/3

5 0
1 year ago
Please help
svp [43]

Answer:

(x + 2)^2 + (y + 2)^2 = 16

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Mary runs 5 miles in 1.25 hours. How many miles does she run in 1 hour?<br> HELP PLSSS
ICE Princess25 [194]

Answer:

She runs 4 miles in one hour

Step-by-step explanation:

5 divided by 1.25=4

7 0
3 years ago
A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate radius of a sphere that has the same sur
Mama L [17]

If the surface area of the cylinder is 12π square meters. Then the radius of the sphere will be 1.7 meters.

<h3>What is a cylinder?</h3>

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a height of 4 meters and a radius of 1.5 meters.

Then the approximate radius of a sphere that has the same surface area as the cylinder.

We know that the Surface area of the cylinder will be is given as

Surface area = 2πrh

Surface area = 2 x π x 1.5 x 4

Surface area = 12π square meters

Then we have

Surface area of sphere = surface area of cylinder

                              4πr² = 12π

                                  r² = 3

                                   r = 1.7 meters

More about the cylinder link is given below.

brainly.com/question/3692256

#SPJ1

4 0
1 year ago
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