Answer:
(x-1)^2 + (y-4)^2 = 5^2
Step-by-step explanation:
Using the standard equation of a circle with center at (h, k) and radius r:
(x-h)^2 + (y-k)^2 = r^2, we substitute 1 for h, 4 for k, 4 for x and 8 for y:
(4-1)^2 + (8-4)^2 = r^2, or
9 + 16 = 25 = r^2
Thus, the radius is 5
and the equation is (x-1)^2 + (y-4)^2 = 5^2. This matches the 2nd answer choice.
Answer:
The average acceleration of train is 
Step-by-step explanation:
We have,
A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.
It is required to find the average acceleration of the train.
The average acceleration of train is . Negative signs shows that the train is decelerating.
Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.
I know this because the steps to solve the problem are:
1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)
2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)
3.) determine that it takes Mary 333 days
4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)
5.) 52.631x6 = 316 (just like in step 2 but different numbers)
6.) determine it takes Julie 316 days
7.) 316 < 333 (takes Julie less time)
Answer:
72-16
Step-by-step explanation:
Difference is represented by the subtraction of 2 numbers. If we want to represent the difference of 2 numbers, we need to subtract one number from the other number.
Answer:
Any multiple of 10
Step-by-step explanation:
A factor is defined as "a number or quantity that when multiplied with another produces a given number or expression." For example, the factors of 20 are 1, 2, 4, 5, 10, and 20.
When we multiply 2 and 5 together, we get 10. Multiplying this by anything else besides 0 will still yield something that has 2 and 5 as factors, for example 2 times 5 times 3 is 30. As this is just the same thing as multiplying 10 by 3, the answer is any multiple of 10.
