Answer: See below
Explanation:
6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18
Answer:
6 years
Step-by-step explanation:
Convert feet to inches: 3 feet = 36 inches, 7 feet = 84 inches
Set two equations equal to each other:
First equation, Type A has a slope of 12 (grows 12 inches per year) and a y-intercept of 36 (it starts 36 inches (or 3 feet) tall)
Second equation, Type B has a slope of 4 (grows 4 inches per year) and a y-intercept of 84 (starts at 84 inches (or 7 feet) tall)
12x + 36 = 4x + 84
subtract 36 from both sides
12x = 4x + 48
subtract 4x from both sides
8x = 48
divide by 8 on both sides
x = 6
It will take the tree types 6 years to be the same height
Hope that helps!
Answer:
150.8ft²
Step-by-step explanation:
A=2πrh+2πr2=2·π·3·5+2·π·32≈150.79645ft²
We know <span>square of the sum <span>formula</span></span>
(a+b)²=a²+2ab+b²
so we need
x²+8x+c=(x²+2*4*x+4²)-16+c=(x+4)²+c-16,
so for full square we need c-16=0
c=16
Answer: c=16