The answer is D) 12
If you need proof, just comment.
nswer:
Step-by-step explanat
|x+2| - 1 ≥ 5
|x+2| ≥ 5+1
|x+2| ≥ 6
x+2 ≥ 6 hoặc x+2 ≤ -6
+ với x+2 ≥ 6 x ≥ 6 – 2 x ≥ 4
+ với x+2 ≤ -6 x ≤ -6 – 2 x ≤ -8
(-∝;-8)∪(4;+∝)
Answer:
x= -4
Step-by-step explanation:
∠LMP + ∠PMN= 180° (adj. ∠s on a str. line)
-16x +13 -20x +23= 180
bring x term to 1 side, constant to the other:
-36x= 180 -13 -23
Simplify:
-36x= 144
x= 144 ÷ (-36)
x= -4
*The sum of the angles on a straight line is 180°
It would be the third one
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
