we have that
![A(0,2)\ B(2,2)\ C(2,0)\\A'(-4,-1)\ B'(1,-1)\ C'(1,-6)](https://tex.z-dn.net/?f=%20A%280%2C2%29%5C%20B%282%2C2%29%5C%20C%282%2C0%29%5C%5CA%27%28-4%2C-1%29%5C%20B%27%281%2C-1%29%5C%20C%27%281%2C-6%29%20%20%20)
we know that
Triangles ABC and A'B'C' are similar
Step ![1](https://tex.z-dn.net/?f=%201%20)
Find the distance AB and distance A'B' with the formula
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=%20d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D%20%20%20%20)
a) distance AB
![dAB=\sqrt{(2-2)^{2}+(2-0)^{2}}](https://tex.z-dn.net/?f=%20dAB%3D%5Csqrt%7B%282-2%29%5E%7B2%7D%2B%282-0%29%5E%7B2%7D%7D%20%20%20%20)
![dAB=\sqrt{(0)^{2}+(2)^{2}}](https://tex.z-dn.net/?f=%20dAB%3D%5Csqrt%7B%280%29%5E%7B2%7D%2B%282%29%5E%7B2%7D%7D%20%20%20%20)
![dAB=2\ units](https://tex.z-dn.net/?f=%20dAB%3D2%5C%20units%20%20)
b) distance A'B'
![dA'B'=\sqrt{(-1+1)^{2}+(1+4)^{2}}](https://tex.z-dn.net/?f=%20dA%27B%27%3D%5Csqrt%7B%28-1%2B1%29%5E%7B2%7D%2B%281%2B4%29%5E%7B2%7D%7D%20%20%20%20)
![dA'B'=\sqrt{(0)^{2}+(5)^{2}}](https://tex.z-dn.net/?f=%20dA%27B%27%3D%5Csqrt%7B%280%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%20%20%20%20)
![dA'B'=\sqrt{25}\ units](https://tex.z-dn.net/?f=%20dA%27B%27%3D%5Csqrt%7B25%7D%5C%20units%20%20)
![dA'B'=5\ units](https://tex.z-dn.net/?f=%20dA%27B%27%3D5%5C%20units%20%20)
Step ![2](https://tex.z-dn.net/?f=%202%20)
Find the scale factor
![scale\ factor= \frac{measure\ A'B'}{measure\ AB} \\ \\ scale\ factor=\frac{5}{2} \\ \\ scale\ factor=2.5](https://tex.z-dn.net/?f=%20scale%5C%20factor%3D%20%5Cfrac%7Bmeasure%5C%20A%27B%27%7D%7Bmeasure%5C%20AB%7D%20%5C%5C%20%5C%5C%20scale%5C%20factor%3D%5Cfrac%7B5%7D%7B2%7D%20%5C%5C%20%5C%5C%20scale%5C%20factor%3D2.5%20)
therefore
the answer is
the scale factor of the dilation is equal to ![2.5](https://tex.z-dn.net/?f=%202.5%20)
Answer: There are 196.85 cm in 500 inches.
Step-by-step explanation:
Since we have given that
1 inch = 2.54 centimeters
We need to find the number of centimeters are in 500 inches.
Since 1 inch = 2.54 centimeters
1 inch = ![\dfrac{1}{2.54}\ cm](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2.54%7D%5C%20cm)
500 inches = ![\dfrac{500}{2.54}=196.85\ cm](https://tex.z-dn.net/?f=%5Cdfrac%7B500%7D%7B2.54%7D%3D196.85%5C%20cm)
Hence, There are 196.85 cm in 500 inches.
Answer:
The statement which can be true about the p-value is;
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites
Step-by-step explanation:
Whereby the p-value is less than the significance level or pre-defined number we reject the null hypothesis that there is no difference in the mean time it takes to access the Websites of the two major airlines
Where the p-value is larger than the significant level, we fail to reject the null hypothesis and therefore, there is not enough evidence to indicate that the mean time to access the Websites of the two major airlines are different
The p-value is compared with a given level for the test, for it to be assed
The option that has the correct inference based on only one significant level or predefined is the p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Websites
There has to be another part to this question. For example, a geometry question of finding an angle or side named “x”, or a simple algebra question such as 24+8=x. What is the value of x?
30x^7
Multiply the coefficients (6•5) to get 30, then add the exponents (4+3) to get 7
Hope this helps!