The simple way to dilate from the origin is to multiply each coordinate by the dilation factor.
Example:
point A(2,-4) dilated by 2
A'(2*2, -4*2) = A'(4, -8)
Point A dilated by 1/2
A''(2*1/2, -4*1/2) = A''(1, -2)
If you have multiple points dilated by the same factor, then follow the procedure for ALL the points
Answer:
Step-by-step explanation:
Let the volumes of both the spheres be
and their radii be
respectively.
(given)

From equations (1) & (2), we have:
Thus, the ratio of the volumes of two spheres would be 2197 : 729.
There are 16 ounces in a pound. 16*5 is 80. If you do 80 divided by 5 you get 16. Therefore, she can make 16 batches. If there are 6 ornaments in a batch, you do 16*6 which is 96.
Answer:
81
Step-by-step explanation:

Answer:
Final answer is approx 6.644 years.
Step-by-step explanation:
Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.
So we can use growth formula:
Then we get equation for motorcycles and cars as:
Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:
Hence final answer is approx 6.644 years.