Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32
Here is the answer:
n+n+1+n+2
=3n+3. Hope it help!
well add -6y to 6y which equals 0 then add 8y to 6y which equals 14y
now you have 13.02=14y
now you can divide 13.02 divided into 14 which equals 0.93
0.93 = y
Answer:
7000 in the account that paid 9% interest rate and 3000 in the account that paid 8% interest rate
Step-by-step explanation:
Let $x be invested in account 1 and $(10000-x) in the second account
Then, 870=x*9/100+(10000-x)*8/100
x=$7,000.
Answer:
The expression that represents the length of 1 of the triangle's legs is y + 5
Step-by-step explanation:
An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by
P = l + l + b
i.e P = 2l + b
From the question, P = 6y + 12 and b = 4y +2
∴ 6y + 12 = 2l + 4y + 2
6y - 4y + 12 - 2 = 2l
2y + 10 = 2l
∴ 2l = 2y + 10
Then,
l = (2y+10)/2
l = y + 5
Hence, the expression that represents the length of 1 of the triangle's legs is y + 5
