Answer:
C
Step-by-step explanation:
Given
(3x + 7)(2x - 6)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(2x - 6) + 7(2x - 6) ← distribute both parenthesis
= 6x² - 18x + 14x - 42 ← collect like terms
= 6x² - 4x - 42 → C
<span>Answer:
Its too long to write here, so I will just state what I did.
I let P=(2ap,ap^2) and Q=(2aq,aq^2)
But x-coordinates of P and Q differ by (2a)
So P=(2ap,ap^2) BUT Q=(2ap - 2a, aq^2)
So Q=(2a(p-1), aq^2)
which means, 2aq = 2a(p-1)
therefore, q=p-1
then I subbed that value of q in aq^2
so Q=(2a(p-1), a(p-1)^2)
and P=(2ap,ap^2)
Using these two values, I found the midpoint which was:
M=( a(2p-1), [a(2p^2 - 2p + 1)]/2 )
then x = a(2p-1)
rearranging to make p the subject
p= (x+a)/2a</span>
Answer:
Cos E= 24/25
Step-by-step explanation:
Length of hypotenuse: 7^2+24^2=625. 625 square root=25
Thus, DE is 25.
Sin D= 24/25, so that is false.
Tan D= 24/7, so that is false.
Cos E= 24/25, so that is true
Sin E= 7/25, so that is false.
Answer:
C
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The volume of a cube is
V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so
n(1/2)^3=10, where n will be the number of these small cubes
n(1/8)=10 upon multiplying each side by 8
n=80
So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3
