Answer:
5
Step-by-step explanation:
20% of p = 10
20% = 0.2
Multiply
0.2p = 10
Multiply both sides of the equation by 5
p = 50
Find 10% of p
10% = 0.1
Multiply
0.1(50)
5
10% of p is 5
Hope this helps :)
Answer:
It is a vertical translation of f(x) four units downward.
Step-by-step explanation:
We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.
It is clear that the transformed function that g(x) = f(x) - 4.
So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).
Therefore, it is a vertical translation of f(x) four units downward. (Answer)
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
Answer:
29.4 cm
Step-by-step explanation:
The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...
d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm
_____
Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...
(face diagonal)^2 = (b^2 +c^2)
and the space diagonal has length ...
(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2
So, the length of the space diagonal is ...
space diagonal = √(a^2 +b^2 +c^2)
when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.
Answer:
y=1.2x-3
Step-by-step explanation:
I had this as an rsm problem a few weeks ago and forgot how to solve it lol hope this helps
