4|3x - 1| + 1 = 8
4|3x - 1| = 8 - 1
4|3x - 1| = 7
|3x - 1| = 7/4
Now lets think, we have 3x - 1 in module, so either its 7/4 or -7/4, we will have 7/4 at the end because of it, so we may have 2 solutions in this case:
3x - 1 = 7/4
and
3x - 1 = -7/4
So let's see:
3x - 1 = 7/4
3x = 7/4 + 1
3x = 11/4
x = 11/12
3x - 1 = -7/4
3x = -7/4 + 1
3x = -3/4
x = -1/4
So we have two possible answers, x = 11/2 and x = -1/4
Answers:
- In the top row, the first and third polygons are regular polygons.
- In the bottom row, only the first polygon is a regular polygon
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Explanation:
A regular polygon must have all sides of equal length. Also, all angles must be the same measure. This applies to the equilateral triangle in the upper left corner, and the square in the upper right corner. Each angle of the square is 90 degrees even though your teacher didn't use right angle markers.
The middle figure in the top row is not a regular polygon because the sides are not all the same length. Also, the angles are different.
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In the bottom row, only the first figure is a regular polygon for similar reasons mentioned earlier. The second figure is not a regular polygon because this figure is concave. Only convex polygons can be regular.
The third figure in the bottom row is not regular because one side is longer than the others.
Answer:
The circle is centered at (-8,3) and has a diameter of 20 units
Step-by-step explanation:
we know that
The equation of a circle in center radius form is equal to
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
so
The center is the point (-8,3)
The radius is 
so
The diameter is two times the radius
therefore
The circle is centered at (-8,3) and has a diameter of 20 units
Step-by-step explanation:
3x= (-8) -4
x=(-12)/3
x= -4
Answer:
-23
Step-by-step explanation:
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