Answer:
The measure of <em>x</em> is:
9 inches
Step-by-step explanation:
Perimeter = x + 2(x-4)
perimeter = 19 inches
then:
19 = x + 2(x-4)
19 = x + (2*x) + (2*-4)
19 = x + 2x - 8
19 = 3x - 8
19 + 8 = 3x
27 = 3x
27/3 = x
x = 9 inches.
It would be B because that’s the price your paying for the membership
Answer:
1. y=3/2x + 12 2. y= 1/4x + 8
Step-by-step explanation:
Use the slope formula to get the slope for each line. Then plug either of the x and y coordinates into the formula y= mx + b and also plug in the slope that you just found and solve for b.
Answer:
East and west side= 5 foot
South and north side = 10 foot
Area = 50 foot^2
Step-by-step explanation:
We know that:
East and west fencing cost= $4 per foot
South and north fencing cost $2 per foot
So, we can consider:
x= south and north fencing
y= east and west fencing
Then we create an equation representing the case:
Total cost = (south+north)*$2 + (east+west)*$4
80 =(x+x)*2 + (y+y)*4
80 =(2x)*2 + (2y)*4
80 =4x + 8y
80 =4*(x+2y)
80/4 =x+2y
20 = x+2y
x= 20-2y
We can calculate the area as width * length:
Area = length * width
Area= x * y
Area= (20 - 2y) * y
area= 20y - 2y^2
Next step is to find the "y" value for the maximum area so you can derivate and equal to 0 to find maximums:
d(20y - 2y^2)/dy = 20 - 2*2y = 20 - 4y
20 - 4y = 0
20 = 4y
y = 20/4
y = 5
If y = 5, then:
x = 20 - 2y
x = 20 - 2*5
x = 20 - 10
x = 10