Answer:
Step-by-step explanation:
5. -3x^(2)+3xy-4xz
If you factor = -x(3x-3y+4z)
x^yz+xy^2z+xyz^2
xyz(x+y+z)
x^2y-xy^2+x^2y^2
xy(x-y+xy)
6. 14a^2-28a^2b^2+21a^4
-7a^2(4b^2-3a^2-2)
7. a^4b-6a^2b^2+3ab^3
ab(a^3-6ab+3b^2)
Answer:
The volume of the new can is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z ----> the scale factor
In this problem
The volume of the original can is
The volume of the new can is
we have
substitute
but.... which is it? the + or the -? well, we know that tan(θ) > 0, is another way to say that the tangent of the angle is positive, now, for the tangent to be positive, since it's opposite/adjacent both opposite and adjacent have to be the same exact sign, now, we know the opposite is +2, so that means the adjacent has to be the same sign, thus is the positive version 3√(5)
thus
If jeanette had $936 in her checking account then the money in her savings account was 1/6 of this which is $156
Thats a total of 936 + 156 = $1092.
After moving the money to savings account the ratio savings : checking in 4:3 so she has 4/7 * 1092 = $624 in savings and 3/7 * 1092 = $468 in checking account.
Answer: 624 dollars in savings and 468 dollars in the checking account
Answer:
a = 6
Step-by-step explanation:
-6(2 + a) = -48
it is basically 2 steps
Divide by -6 first
(2 + a) = -48 / -6
2 + a = 8
minus the 2
a =6