Times bottom equation by 3 and top by 2 to get the same coefficient of x
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7
Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!
Answer:
133,300
Step-by-step explanation:
3100 x 43 = 133,300
6x²+x-12
the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)
two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term
6x²+9x-8x-12
now we look for whats common between the first two numbers and divide them out
6x²+9x = 3x(2x+3)
now we do the same with the last two numbers
-8x-12 = -4(2x+3)
notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside
once we do that you should get an answer of
(3x-4)(2x+3)
hope this helped!
