Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
C. 3x^2+6 is the answer:)
Answer
8(40-y) + 6y =300
320 - 8y + 6y =300
-2y=-20
y=10
This leaves x to be 30.
You should spend 30 minutes on machine 1 and 10 minutes on machine 2.
Step-by-step explanation:
Answer:
it depends on the equation on what your solving
1 revolution = circumference of the wheel = pi * diameter
= 3.14 * 7 inch
so 100 revolution = 100 * 3.14 * 7 = 2198 inches
= 2198 / 12 = 183.17 feet