Answer:
10x + 9
Step-by-step explanation:
-1 - (-10x - 10)
Distribute.
-1 + 10x + 10
10x + 9
(2,8) and (-2,10)
<u>y₂</u><u> </u><u>- y₁</u> used to find the slope<u>
</u>x₂ - x₁
<u>
</u>plug in the coordinates
<u>10-8</u> = <u>2</u> all equals -1/2
-2-2 = -4 m=-1/2
<u>
</u>plug one of the coordinates and the slope into y=mx+b, and solve
<u />8=-1/2(2)+b
8=-1+b
9=b
Final Answer: y = -1/2x + 9
Answer= 16
Work=
1. Multiply each side by 1/5 (aka divide them by 5). This leaves 3, 4 and 9.
2. Add all the sides. 3 + 4 + 9 = 16. That is the perimeter
Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.