Answer:
1 508.57143 steps
Step-by-step explanation:
divide 5,280 feet by 42 inches to get 1 508.57143 steps.
Well a perfect square looks like this:
6 x 6
2 x 2
So the number 72 is between the PRODUCT of two perfect squares such as those.
One product has to be above 72, and the other below it.
So lets multiply.
8 x 8 = 64
9 x 9 = 81
Oh look at that, 72 is between 64 and 81.
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:
Answer:
y=2x+5
Step-by-step explanation:
Let's solve for y.
−2x+y=5
Step 1: Add 2x to both sides.
−2x+y+2x=5+2x
y=2x+5