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Alex
3 years ago
12

15.) whats the approximately measure of one interior angle of the regular polygon shown

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

15) For a regular polygon of N sides, the measure of one interior angle is:

A = (N -  2)*180°/N

In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:

A = (11 - 2)*180°/11

A = 9*180°/11 = 147.27°

Rounding to the first decimal after the decimal point, we get:

A = 147.3°

Then the correct option is B.

16) We know that the length of all the sides of a square is the same.

In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4

And those lengths must be the same, then we have the equation:

2x + 4 = 4

subtracting 4 in each side of the equation we get:

2x + 4 - 4 = 4 - 4

2x = 0

The only solution for this equation is x = 0.

Then the correct option is C

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Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.
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Write the coeeficientes of the polynomial in order:

  | 1   - 5   6   - 30
  |
  |
  |
------------------------

After some trials you probe with 5

   | 1   - 5       6     - 30
   |
   |
5 |        5      0       30
-----------------------------
     1     0      6        0 <---- residue

Given that the residue is 0, 5 is a root.

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Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
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3 years ago
Find the x-intercepts of the parabola with vertex (-4,2) and y-intercept (0,-30). Write your answer in this form: (x1, y1),(x2,
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Vertex form of a parabola 
<span>y = a (x - h)^2 + k </span>

<span>where (h, k) is the vertex </span>
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<span>y = a(x + 4)^2 + 2 </span>

<span>substituting in the point (0, -30) for  x and  y
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</span>solve for a,

<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>

<span>y = -2(x + 4)^2 + 2 </span>

<span>Put y = 0 </span>

<span>-2 x^2 - 16 x - 30 = 0 </span>
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<span>x = -3
x = -5</span>
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3 years ago
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