Answer:
Factor the numerator and denominator and cancel the common factors.
-2x/-10 = x/5
Step-by-step explanation:
in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.
so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.
let's hmmm check the point say (0,2), x = 0, y = 2.
y > x + 3
2 > 0 + 3
2 > 3 <--- is that true? is 2 really larger than 3? nope, so is false.
that simply means that the point (0, 2) is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.
y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.
check the picture below.
Answer:
c= 13
Step-by-step explanation:
The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper
Answer: The correct options are (A) 8 and (D) 7.
Step-by-step explanation: We are given to select the correct scale factors that produces an expansion under a dilation of the original image.
The SCALE FACTOR of a dilation is defined as follows:

The dilation will be an expansion is the scale factor is greater than 1 (> 1),
and it will be a reduction if the scale factor is less than 1 (< 1).
Option (A) is
Scale factor = 8.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Option (B) is
Scale factor = 0.7.
Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (C) is
Scale factor = 0.8.
Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (D) is
Scale factor = 7.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Thus, the correct options are (A) 8 and (D) 7.