Answer:
A dilation
Step-by-step explanation:
6(x + 2) = 2(x + 10)
6x + 12 = 2x + 20
6x - 2x = -12 + 20
4x = 8
x = 8/4
x = 2
3(y - 4) + 2 = 5y - 28
3y - 12 + 2 = 5y - 28
3y -10 = 5y - 28
3y - 5y = 10 - 28
-2y = -18
y = -18/-2
y = 9
5(2z - 3) - 3z = 3(z + 3)
10z - 15 - 3z = 3z + 9
7z - 15 = 3z + 9
7z - 3z = 15 + 9
4z = 24
z = 24/4
z = 6
Answer:
-24 + 16c
Step-by-step explanation:
There are a couple things we need to know here:
- We need to know how to distribute a negative
- We need to know that we cannot combine 24 and -16c, because we can only combine like terms (we can only combine terms that don't have a c with other terms that don't have a c).
To help distribute a negative, we can first write the problem like this:
-1 * (24 - 16c)
So all we're doing is multiplying -1 by 24 and by -16c, which will get us:
-24 + 16c, which is the answer.
The smallest integer is 1 and middle integer is 2 and largest integer is 3
Solution:
Given that , three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.
We have to find the three consecutive integers
So, let the smallest integer be n, then the next two consecutive middle and largest integers will be n + 1, n + 2 respectively
Then, by the given statement,
Three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.
Thus the smallest integer = n = 1
Middle integer = n + 1 = 1 + 1 = 2
Largest integer = n + 2 = 1 + 2 = 3
The formula for circumference is 2 x Pi x R or Pi x D. The diameter is twice the radius, always. With the information I have provided, we can solve this.
Our radius is 7.
Multiply the radius by 2 to get the diameter.
7 x 2 = 14. Since you have requested for the answer to be in terms of Pi, I will assume you mean "14Pi" as your final answer. If not, I will multiply 14 by Pi to get our circumference.
3.14 x 14 = 43.96 cm^2
Your answers are:
14(Pi) cm^2
or (if completely done)
43.96 cm^2
The Area of a circle is PiR^2, or Pi x R x R. Our radius is 7, so to solve this, we need to: Multiply 7 by 7 and then multiply that product by 3.14. 7 x 7 = 49. 49 x 3.14 = 153.86 cm^2 Your area is 153.86 cm^2. Your circumference is 43.96cm^2. I hope this helps!
