Answer:
6.75
Step-by-step explanation:
54 cards in a deck p(8) so do 54 divided by 8 which should equal 6.75
The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166
Answer:
x = 41
Step-by-step explanation:
By the Angle Bisector Theorem, which basically states that EG / GD = EH / DH, we get this: 49 / 35 = 58.8 / (x + 1). Now, if we simplify, we get 7/5 = 58.8 / (x + 1). Cross-multiply to get 294 = 7x + 7, or 7x = 287. From here, it is obvious that x = 41.
Answer:
8x^3-46x^2-5x+18
Step-by-step explanation:
The volume of a rectangular prism is L*W*H where
L=length
W=width
H=height.
So we want to probably find the standard form of this multiplication because writing (4x+3)(x-6)(2x-1) is too easy.
Let's multiply (4x+3) and (x-6), then take that result and multiply it to (2x-1).
(4x+3)(x-6)
I'm going to use FOIL here.
First: 4x(x)=4x^2
Outer: 4x(-6)=-24x
Inner: 3(x)=3x
Last: 3(-6)=-18
---------------------------Add.
4x^2-21x-18
So we now have to multiply (4x^2-21x-18) and (2x-1).
We will not be able to use FOIL here because we are not doing a binomial times a binomial.
We can still use distributive property though.
(4x^2-21x-18)(2x-1)
=
4x^2(2x-1)-21x(2x-1)-18(2x-1)
=
8x^3-4x^2-42x^2+21x-36x+18
Now the like terms are actually already paired up we just need to combine them:
8x^3-46x^2-5x+18
2)
x^2 - 14x - 32 = x^2 - 16x + 2x - 32 = x(x-16) + 2(x-16) = (x - 16)(x + 2)
<h2>
⇒ x^2 - 14x - 32 = (x - 16)(x + 2)</h2>
---------
3)
2n^2 - 7n - 15 =
= 2n^2 - 10n + 3n - 15 =
= 2n(n - 5) + 3(n - 5) =
= (n - 5)(2n + 3)
<h2>
⇒ 2n^2 - 7n - 15 = (n - 5)(2n + 3)</h2>
---------
4)
<h2>
x^2 - 25 = (x - 5)(x + 5)</h2>
