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podryga [215]
3 years ago
6

Write a polynomial of least degree with roots 9 and -3

Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

  y = x^2 -6x -27

Step-by-step explanation:

When "a" is a root, (x-a) is a factor. The minimum polynomial with the listed roots will be ...

  y = (x -9)(x +3)

  y = x^2 -6x -27

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Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyra
mina [271]

Answer:

Akira needs 45 square inches of  gold foil to cover the chair free including the bottom​

<u>Step-by-step explanation:</u>

Total surface  =  surface area of the base square + area of 4 triangles

<u>Step 1: The surface area of the base square</u>

surface area of the base = surface area of the square =  s^2

where s is the side length

The the surface area of the base  = 3^2 = 9 square inches

<u>Step 2: The surface area of the side triangles </u>

The area of the triangle = \frac{1}{2}\times \text{side length} \times \text{slant height}

On substituting the values,

The area of the triangle =\frac{1}{2} \times 3 \times 6

The area of the triangle = \frac{18}{2}

The area of the triangle = 9 square inches

Now the area of 4 triangles  =  4 x 9  = 36 square inches

Thus the total surface area  =  9 + 36 = 45 square inches

7 0
3 years ago
Read 2 more answers
Complete the point slope equation of the line through(-1,-10)and(5,2).<br>y-6=​
Lynna [10]

Answer:

<h2>y - 6 = 2(x - 7)</h2>

Step-by-step explanation:

The point-slope of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the poinys (-1, -10) and (5, 2). Substitute:

m=\dfrac{2-(-10)}{5-(-1)}=\dfrac{12}{6}=2

Put the value of the slope and the coordinateso f the point (5, 2), to the equation of a line:

y-2=2(x-5)

In the question we have y - 6 = ...

Therefore

y-2=2(x-5)    <em>subtract 4 from both sides</em>

y-6=2(x-5)-4          <em>use the distributive property</em>

y-6=2x-10-4

y-6=2x-14      <em>distributive</em>

y-6=2(x-7)

5 0
3 years ago
You want to estimate the number of students in your school who support extra funding for the history club. You survey every nint
Lyrx [107]

Answer:

unbiased

Step-by-step explanation:

it would be biased if you lets say survey the history club kids

4 0
3 years ago
What are three triangles that are classified by angles?
Law Incorporation [45]
❅☃ Scalene **All sides are different, none are the same**
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6 0
3 years ago
What is the limiting sum of the following geometric series?<br> 2000 - 1200 + 720 - 432 ...
irina1246 [14]

Answer:

your answer is 1088

Step-by-step explanation:

hope it helps

7 0
3 years ago
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