182 / 8 = 22.25
you have to round up to account for the .75, so the answer is 23
when someone says a number squared or cubed, or to the certain power, it means how many times you multiply the base number by itself that many times, for example
2²= 2 * 2
or 9³ = 9 x 9 x 9
a square root or cube root, is a harder to understand, but still somewhat simple, it basically means how many what number squared or cubed equals this number.
so for example the square root of 9 = 3 because 3 x 3=9
or cube roots for example ∛125= 5 because 5 x 5 x 5
So here is an example one for you. √81.
.21 as a fraction would be 21/100
H(x) = 1/4x would be the inverse
Answer:
See below
Step-by-step explanation:
I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)
Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=
and 11/4=
. Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):
![\frac{13}{4}*3 = \frac{39}{4}\\ 8-\frac{39}{4} = \frac{-7}{4}\\\frac{11}{4}*3 = \frac{33}{4} \\-2+\frac{33}{4} = \frac{25}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B4%7D%2A3%20%3D%20%5Cfrac%7B39%7D%7B4%7D%5C%5C%208-%5Cfrac%7B39%7D%7B4%7D%20%3D%20%20%5Cfrac%7B-7%7D%7B4%7D%5C%5C%5Cfrac%7B11%7D%7B4%7D%2A3%20%3D%20%5Cfrac%7B33%7D%7B4%7D%20%20%5C%5C-2%2B%5Cfrac%7B33%7D%7B4%7D%20%3D%20%5Cfrac%7B25%7D%7B4%7D)
Therefore, our point that partitions CD into a 3:1 ratio is (
).
I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.
Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.