The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.
To find the equation of the line you first find the slope or m using any two points.
m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so
m=(3--5)/(-2-2)
m=8/-4
m=-2
So far for y≤mx+b we have:
y=-2x+b using either point we can solve for b, I'll use (2,-5)
-5=-2(2)+b
-5=-4+b
-1=b
So the line is:
y=-2x-1 and since y≤ the line:
y≤-2x-1
Answer:
should be C/.Hope that helps
Answer:
A
Step-by-step explanation:
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The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12
<h3>How to determine the range of value of x?</h3>
In the given figure, the side lengths AB and AD are equivalent.
This means that, we have the following angle relationship:
CAD < CAB
Substitute known values
6x - 24 < 48
Add 24 to both sides
6x < 72
Divide both sides by 6
x < 12
Also, we have the following angle relationship:
CAD > 0
Substitute known values
6x - 24 > 0
Add 24 to both sides
6x < 24
Divide both sides by 6
x < 4
This means that:
x < 4 and x < 12
Combine both inequalities
4 < x < 12
Hence, the inequality is 4 < x < 12
Read more about triangles at:
brainly.com/question/21735282
#SPJ1
Answer:
Step-by-step explanation:
5x + 40 = 120 (Corresponding angles are congruent)
5x = 120 - 40
5x = 80
Dividing both sides by 5
x = 16
Hope this helped!
<h2>~AnonymousHelper1807</h2>
