Okay, so the angle of K is 45° (180 - 135).
Draw a line that goes straight down from angle L and let's say that point is point Z. You can see that this triangle can be separated into two special triangles: the 45 45 90 triangle on the left (ΔLKZ) and the 30 60 90 triangle (ΔLMZ) on the right.
I don't know if you've learned this yet (just google them if you're confused): - for a 45 45 90 triangle the sides are x, x, and x√2. - for a 30 60 90 triangle the sides are x, 2x, and x√3.
Since we know that LM is 20√3, using the 30 60 90 trick, you can see that LZ is 10√3 and MZ is 30.
Next, since LZ is 10 sqrt(3), using the 45 45 90 trick, <em>KL is 10√6</em> and KZ is 10 sqrt(3). Therefore, KM = KZ + MZ = <em>10√3 + 30</em>
<u>The answer: KL is 10√6, KM is 10√3 + 30</u>
(I'm sorry it's such a long explanation, pictures would have been better)
Step-by-step explanation:
use this formula: x+6 = 2x+1
step-by-step:
x+6 = 2x+1
<u> </u><u>-1</u> <u>-1</u>
x+5 = 2x
<u>-</u><u>x</u> <u>-x</u>
5 = x
there you go
<span>Hollis travels 0.05 miles per minute faster than Charmaine.
First, convert to the same units for both Hollis and Charmaine. So Hollis takes 18.5 minutes and Charmaine takes 0.5*60 = 30 minutes. Both girls travel 2.4 miles, so calculate how many miles per minute each takes
Hollis = 2.4 / 18.5 = 0.13 miles per minute.
Charmaine = 2.4 / 30 = 0.08 miles per minute.
Finally determine the difference in speed between the two girls.
0.13 - 0.08 = 0.05 miles per minute.</span>
Answer:
Function A. <em>nonlinear</em>
Function B. <em>linear</em>
Step-by-step explanation:
Function A is nonlinear because the y values are changing at a nonlinear rate. To get from 0 to 1, the value is increased by 1. However, to get from 1 to 8, it increases by 7, which is different than before.
Function B is linear because the equation models a linear function. You can test this by drawing a table of values similar to Function A:
You can see the y values change at a linear rate of -1 constantly.
