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:
4/9 or 44.4%
Step-by-step explanation:
Answer:
Peytons car travels 14.8 miles less than Madeline's car in with one gallon
Step-by-step explanation:
peytons car uses 1 gal to travel 22.1 miles and Madeline's care uses 1 gal to travel 36.9. 36.9-22.1 = 14.8
ta da
Answer:
+15
Step-by-step explanation:
An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.
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<em>Additional comment</em>
If units are dimes, then the number would be +150. So, you see, <em>the units are important </em>to know.
It also depends on <em>what is increasing</em> and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.
Answer:
Step-by-step explanation:
24 hope it helps you!!
