Divide by 3 and you get m^2-81 so then factor and get 3(m+9)(m-9)
Answer: Number 1= 2
Number 2= 55
Step-by-step explanation:
1. 16 divided by 4 is 4, 4-2=2
2. 22 divided by 2 is 11, 15 divided by 3 is 5, 11x5=55
Answer:
a. .3
b. .7
c. The car is fairly reliable because there is more people with no mechanical issues than there is people with mechanical issues
Step-by-step explanation:
Answer:
-1209
Step-by-step explanation:
Your sequence has first term a1 = -29 and common difference d = -20. Using these in the formula for the n-th term, we can find the 60 term.
an = a1 +d(n -1)
an = -29 -20(d -1)
a60 = -29 -20(60 -1) = -1209
There are 3 right triangles in this picture, and they are all mutually similar.
• the smallest triangle has legs 4 and y, and hypotenuse z
• the middle one has legs y and 16, and hypotenuse x
• the largest one has legs z and x, and hypotenuse 16 + 4 = 20
Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have
4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)
4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)
y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)
We just want to find x, which we can do easily with the last equality,
16/x = x/20
Solve for x :
20 • 16/x = 20 • x/20
320/x = x
x • 320/x = x • x
320 = x²
⇒ x = √320 = √(64 • 5) = 8√5