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:
d
Step-by-step explanation:
the slopes (2/3x and -5/4x) are not equal but the y-intercepts (3) are and d is the only one that states that
So I drew a number line , & I placed point e at 1 1/4 . The correct answer will be B . It couldn't be A because if point e was 1/4 to the left of 1 , point e will be located at 3/4 . But because it ask to put point e at 1 1/4 , you would look for 1 & just move up 1/4 .
Step-by-step explanation:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Answer:
the number is 8
Step-by-step explanation:
8-3=5
6•5=30>24
expression: 6(x-3)>24