Answer:
the perimeter is 82 in.
Step-by-step explanation:
add all sides
Answer:
x = -9
Step-by-step explanation:
- 2(x + 7) = 4
Distribute
-2x -14 = 4
Add 14 to each side
-2x-14+14 = 4+14
-2x = 18
Divide each side by -2
-2x/-2 = 18/-2
x = -9
12.
Add like terms from both trinomials:



Combine these terms to get a new trinomial as your answer:

13.
Subtract like terms from both trinomials (note that subtracting a negative is the same as adding it as a positive):



0 can be left out of the answer.
Combine these terms to get a binomial as your answer:
Answer:
See attachment
Step-by-step explanation:
To see clearly the graph that represents

we rewrite in vertex form to get;

This is a vertical parabola with vertex at (-1.5,-0.25) and opens upwards.
The required graph is shown in the attachment.
Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.