Answer: 3
Step-by-step explanation:
Let's start by converting this equation to slope intercept form
First Simplify

Then isolate y

In slope intercept form, y=mx+b, the slope is m
In this equation the slope would be 3
Answer: √3 + 2√2
Step-by-step explanation: Simplify the expression.
Exact Form:
√3 + 2√2
Decimal Form:
4.56047793 . . .
Hope this helps! :) ~Zane
so what they mean by "similar" is just that the shapes are the same but different sizes. since we have the measurement for sides PM, MN and TQ, we can figure it out. we have to think of it as a ratio. so PM/TQ = MN/QR. if we plug the amounts in its 57/23 = 40.3/QR. then we cross multiply. so thats 23 x 40.3 which is 926.9. then we divide 926.9 by 57 which is 16.2614035. rounding to the nearest tenth is 16.3
Answer:
See below.
Step-by-step explanation:
Let the smaller integer be n.
Then the larger integer is n + 2.
"When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer."
The correct equation is:
n + 3(n + 2) = 5n - 2
His mistake is not using parentheses on the left side. Since he left out the parentheses, the left side is not "the smaller integer added to three times the larger integer", but rather it is "the smaller integer added to 2 plus 3 times the smaller integer."
n + 3(n + 2) = 5n - 2
n + 3n + 6 = 5n - 2
4n + 6 = 5n - 2
8 = n
n = 8
n + 2 = 10
The integers are 8 and 10.
Any number as the denominator and 0 as the numerator can be replaced in the place of 0.