X= width of the path.
we can suggest this equation:
(20+2x)(28+2x)=1584
we solve this equation:
(20+2x)(28+2x)=1584
560+40x+56x+4x²=1584
4x²+96x-1024=0
4/4x²+96/4x-1024/4=0/4
x²+24x-256=0
We solve this square equation:
x=[-24⁺₋√(576+1024)]/2=(-24⁺₋40)/2
we have two solutions:
x₁=(-24-40)/2=-32 this solution is not valid.
x₂=(-24+40)/2=8
Answer: the width of the path is 8 m.
Heyyyy
how r u
sorry for being annyoing but i won’t let me ask a question so
Answer:
175 cm
7 years
Step-by-step explanation:
Here is the complete question
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard.
He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.
1. How tall was the tree when Vlad moved into the house?
2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
The formula for calculating future value:
FV = P + (r x n)
FV = Future height of the tree
P = Present height of the tree
R = growth rate
N = number of years
292 = p + (26 x 4.5)
292 = p + 117
p = 292 - 117
p = 175 cm
b. 357 = 175 + (26 x n)
375 - 175 = 26n
182 = 26n
n = 182 / 26 = 7 years
Answer:
96
Step-by-step explanation:
commom difference = d
a₆ + a₇ = 16
a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16
a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16
Similarly,
a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16
so
a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96