Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Answer:
D
Step-by-step explanation:
First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.
If point D divides the segment AB in the ratio m:n, then
So
Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.
Thus, C(2,-1)
Answer:
see explanation
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x , y) → (y , - x)
Answer:
x+y=-5.75
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, you would simply need to use the distributive property!
-(2)x-(2)2+(2)y-(2)9=1
-2x-4+2y-18=1
Then you need to add/subtract so the similar numbers are together.
-2x+2y-22=1
-2x+2y=23
x+2y=-11.5
x+y=-5.75
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
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Answer:Two-column, paragraph, and flowchart proofs are three of the most common geometric proofs. They each offer different ways of organizing reasons and statements so that each proof can be easily explained.
Step-by-step explanation:
