Answer: $3.22
Step-by-step explanation:
We will start by doing 38.64 divided by 12
Then we will get the answer 3.22.
$3.22 is the answer.
Al you have to do is add 4 to the equation
This gives you g(x)=4x^2+9 which is your answer
Answer: -4
Step-by-step explanation: any positive number times a negative number is negative. 6x(-4) is -24.
Step-by-step explanation:
If a variables varies jointly, we can just divide it by the other variables in relation to it.
For example, since p variables jointly as q and square of r, then
![\frac{p}{q {r}^{2} } = k](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7Bq%20%7Br%7D%5E%7B2%7D%20%7D%20%20%3D%20k)
where k is a constant
First, let find k. Substitute p= 200
q= 2, and r=3.
![\frac{200}{2(3) {}^{2} } = k](https://tex.z-dn.net/?f=%20%5Cfrac%7B200%7D%7B2%283%29%20%7B%7D%5E%7B2%7D%20%7D%20%20%3D%20k)
![\frac{200}{18} = k](https://tex.z-dn.net/?f=%20%5Cfrac%7B200%7D%7B18%7D%20%20%3D%20k)
![\frac{100}{9} = k](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%7D%7B9%7D%20%20%3D%20k)
Now, since we know our constant, let find p.
![\frac{p}{q {r}^{2} } = \frac{100}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7Bq%20%7Br%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Cfrac%7B100%7D%7B9%7D%20)
Q is 5, and r is 2.
![\frac{p}{5( {2}^{2}) } = \frac{100}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7B5%28%20%7B2%7D%5E%7B2%7D%29%20%7D%20%20%3D%20%20%5Cfrac%7B100%7D%7B9%7D%20)
![\frac{p}{20} = \frac{100}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%7D%7B20%7D%20%20%3D%20%20%5Cfrac%7B100%7D%7B9%7D%20)
![p = \frac{2000}{9}](https://tex.z-dn.net/?f=p%20%3D%20%20%5Cfrac%7B2000%7D%7B9%7D%20)
In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.
The area of a triangle is found by the formula 1/2 x base x height
Since the base and height are the same the formula becomes Area = 1/2 x S^2 ( where S is the length of a side).
The area is given as 0.72 square units.
Now you have 0.72 = 1/2 x S^2
First multiply both sides by 2:
1.44 = S^2
To find S, take the square root of both sides:
S = √1.44
S = 1.2
The side length is 1.2 units.