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:
Step-by-step explanation:
Length and width of the yard are 
and 
.
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Step-by-step explanation:
Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.
A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.
Also, the corresponding angles of similar triangles are congruent.
Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Answer:
0 > -5
Step-by-step explanation:
9w - 4w + 6 > 1 + 5w
add the similar variables
5w + 6 > 1 + 5w
subtract 6 from both sides
5w + 6 > 1 + 5w
-6 -6
5w > 5w - 5
simplify
5w > 5w -5
subtract 5 w from both sides
5w > 5w -5
-5w -5w
simplify
= 0 > -5
