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:
I chose three because 3*4 is twelve and 36 divided by twelve is three
Answer: 31 ft
Step-by-step explanation: Add all of the sides together. So 5 1/3 + 5 1/3 + 10 1/6 + 10 1/6. Convert to the same denominator (6). 5+5+10+10=30. 2/6+2/6+1/6+1/6=1. And 30+1=31
Answer:
2625 kJ
Step-by-step explanation:
We assume the energy is proportional to the volume:
energy/volume = 1050 kJ/(500 mL) = E/(1250 mL)
Multiply by 1250 mL:
E = (1250/500)(1050 kJ) = 2625 kJ
The number of kJ in 1.25 L of Lemon Squash is 2625 kJ.
