Answer:
m= 1/2.
Step-by-step explanation:
To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.
We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:
Distribute the exponents to get:

Now, we can simply ignore the '5' and solve for 'm':
6m= 2m+2
4m= 2
m= 1/2.
Answer:
p = 1/8
Step-by-step explanation:
-3p + 1/8 = -1/4
-3p = -1/8 -14 /*8
-24p = -1 -2
-24p = -3 /:(-24)
p = 1/8
Get into form (x-h)^2=4p(y-k)
vetex is (h,k)
so
1/2(x-7)^2=y+4
times 2 both sides
(x-7)^2=2(y+4)
(x-7)^2=4(1/2)(y-(-4))
vertex is (7,-4)
Given Information:
Length of room = l = 8 feet
Width of room = w = 7 feet
Required Information:
Amount of carpet = ?
Answer:
Amount of carpet = 56 ft²
Step-by-step explanation:
Jason wants to replace the carpet in the utility room of his house.
We are given the dimensions of the room and we are asked to find the required amount of carpet in square feet.
The required amount of carpet is given by

where w is the width of room and l is the length of the room.

Therefore, Jason need 56 square feet of carpet for the utility room.