Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.


The perimeter of the triangle is 5 + 12 + 13 = 30
Answer:
3
Step-by-step explanation:
Let x = # of boxes of felt-tip pens.
(x)(3.44)+(4x)(4.41) = 63.24
21.08x = 63.24
x = 3
Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.
Answer:
23
Step-by-step explanation:
Taking an algebraic approach
let the number be n, then (n - 17) is 17 subtracted from number and
- 2(n - 17) = - 12 ( divide both sides by - 2 )
n - 17 = 6 ( add 17 to both sides )
n = 23
Thus Julio's number was 23
Answer:
16
Step-by-step explanation:
8+8=16
No, because if you fold it where the lines are it would not be the same on both sides