Answer:
The distance between (-3, 2) and (0,3) is √10.
Step-by-step explanation:
As we go from (-3,2) to (0,3), x increases by 3 and y increases by 1.
Think of a triangle with base 3 and height 1. Use the Pythagorean Theorem to find the length of the hypotenuse, which represents the distance between the points (-3, 2) and (0, 3):
distance = √(3² + 1²) = √10
The distance between (-3, 2) and (0,3) is √10.
Answer:
66
Step-by-step explanation:
Use the combination formula.
For this case we have the following subtraction:

We can rewrite the subtraction in an easier way.
We have then:

Then, by doing associative property we have:

Answer:
The value of the subtraction is given by:

P=1. I hope this helps. :)
Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x

∴ 10 teeth must go on the driven gear
hence ratio = 34:10