Answer:
Michael: 24
Junior: 8
Step-by-step explanation:
8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.
X = 2 expand the brackets and then collect like terms (x's on one side) and then dived to get x on its own! :)
Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.
x=5 --> y=12
x=8 --> y=?
? = (8*12)/5 = 96/5 = 19.2
So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.
Hope this Helps! :D
Answer:
{-2,10}
Step-by-step explanation:
x^2 - 8x = 20
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 =16
Add this to each side
x^2 - 8x+16 = 20+16
x^2 - 8x+16 = 36
The left hand side becomes( x + (-8/2) )^2
(x - 4)^2 = 36
Take the square root of each side
sqrt((x - 4)^2) =±sqrt( 36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4±6
x = 4+6 x = 4-6
x = 10 x = -2
Answer:
sqrt(104) =x
Step-by-step explanation:
We can use the Pythagorean theorem since this is the right triangle.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
2^2 + 10^2 = x^2
4+100 = x^2
104 = x^2
Take the square root of each side
sqrt(104) = sqrt(x^2)
sqrt(104) =x
