Answer:
The equation of the line in the slope-intercept form is:
Step-by-step explanation:
The slope-intercept form of the equation of a line is
As y intercept is -8, we have
Since the line is parallel to 
, then it has the same slope.
Let's put this equation in form and find the slope
Thus, the slope is :
Now we can finish the equation of the line in the slope-intercept form
∵ , b = -8
Therefore, the equation of the line in the slope-intercept form is:
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.
T would be 72 because 2x2=4 and 4x18=72
Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100
