Answer:
The coordinates of point C after dilation will be: (3,-1)
Step-by-step explanation:
Dilation in the coordinate plane can be defined as enlargement. There are different types of dilation. The most simple one is dilation from origin.
A factor is used to dilate a point from the origin. For example, if (x,y) is a point and a is the scale factor then the coordinates of points will be:
(x,y) => (ax,ay)
Given point is:
C(6,-2)
r = 1/2
The new coordinates of point C will be:
![C(6,-2) => C'(\frac{1}{2}(6) , \frac{1}{2}(-2)) => (3,-1)](https://tex.z-dn.net/?f=C%286%2C-2%29%20%3D%3E%20C%27%28%5Cfrac%7B1%7D%7B2%7D%286%29%20%2C%20%5Cfrac%7B1%7D%7B2%7D%28-2%29%29%20%3D%3E%20%283%2C-1%29)
The coordinates of point C after dilation will be: (3,-1)
Answer: Choice D ![(1-0.74)^4](https://tex.z-dn.net/?f=%281-0.74%29%5E4)
Reason:
74% = 0.74 represents the probability of him making any given free throw.
This means 1 - 0.74 is the probability of him missing.
Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing ![(1-0.74)^4](https://tex.z-dn.net/?f=%281-0.74%29%5E4)
In other words, we multiply exactly four copies of (1-0.74) to get our answer.
Answer:
units
Step-by-step explanation:
The distance between any two points on the x y plane (a,b) and (c,d) has one of two formulas.
or
if you use c-a you have to also use d-b, and the other way around for a-c and b-d. You can rearrange which order you add though. So with (-1,5) and (3,3) here is the math
![\sqrt{(3-(-1))^2+((-3)-5)^2} \\\sqrt{4^2+(-8)^2} \\\sqrt{16+64}\\\sqrt{80}](https://tex.z-dn.net/?f=%5Csqrt%7B%283-%28-1%29%29%5E2%2B%28%28-3%29-5%29%5E2%7D%20%5C%5C%5Csqrt%7B4%5E2%2B%28-8%29%5E2%7D%20%5C%5C%5Csqrt%7B16%2B64%7D%5C%5C%5Csqrt%7B80%7D)
You could simplify this to ![4\sqrt{5}](https://tex.z-dn.net/?f=4%5Csqrt%7B5%7D)
Let me know if there was anything you didn't understand.
Step-by-step explanation:
since Chelsea can paint in 9hrs and Greg in 7, add the hrs and divide by 2 i.e (9+7)/2 =8 hrs
~10 hrs
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