Answer:
the origin, (0, 0)
Step-by-step explanation:
The coordinates of A' are 1/2 those of A, meaning each has been multiplied by the scale factor 1/2. When the dilated points are all the original points multiplied by the scale factor, the center of dilation is the origin.
_____
For center of dilation Q, the image of a point A after dilation by a factor of k is ...
A' = kA + (k-1)Q
Then for points A, A', and dilation factor k, the center of dilation can be found to be ...
(A' -kA)/(k-1) = Q
Here, that is ...
Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)
Answer:
use lcm
Step-by-step explanation:
that will help
Answer: 12x + 15y
Explanation:
1. 3 x 4x + 3 x 5y
2. 12x + 15y
This expression can not be expanded further because there are no like terms.
Hope this helps :)
Answer: 0.0708
Step-by-step explanation:
Let μ denote the true average reaction time to a certain stimulus.
To determine : The P-value for a z test of H0: μ = 5 versus Ha: μ > 5.
In the given set of hypothesis , the alternative hypothesis is right -tailed , so the test is a right tailed test .
Given test statistic : a) z= 1.47
Now, the p-value for the right tailed test :
![P(z>1.47)=1-P(z\leq1.47)\ \ [\because P(Z>z)=1-P(Z\leq z)]](https://tex.z-dn.net/?f=P%28z%3E1.47%29%3D1-P%28z%5Cleq1.47%29%5C%20%5C%20%5B%5Cbecause%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D)
[Using the p-value table for z]
Hence, the required P-value = 0.0708
Answer: 2x + 15 = 243
x = $114
Step-by-step explanation:
Gas Tank: $15
Matthew: x
Devin: x
Gas Tank + Matthew + Devin = Total
15 + x + x = 243
2x = 228
x = 114
