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11111nata11111 [884]
4 years ago
5

What is the midpoint of segment JK? Explain.

Mathematics
1 answer:
Irina18 [472]4 years ago
4 0

xP = (xJ+xK)/2

and similar for yP

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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
wolverine [178]

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors  = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

=  x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4  + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

7 0
4 years ago
Which statement is correct with respect to f(x) = -3|x − 1| + 12?
lora16 [44]
The V-shaped graph opens downward, and its vertex lies at (1,12)
6 0
4 years ago
Read 2 more answers
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin
stepan [7]

Answer:80 percent

Step-by-step explanation:

From the question, the total number of sample is 100 that is hundred(100) people . Eighty (80) people from the sample are in favour of candidate A.

Therefore, the mean statistic is one(1), that is, 0.8+0.05+1.15+2.00= 1.

So, total number from the hundred people supporting Candidate A divided by the total number of sample of the population multiply by a 100 percent;

= 80/100 × 100= 80%.

80% which is greater than 75%

4 0
4 years ago
Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?
aniked [119]

Answer:ANSWER:  $35 + (-$7) + (-$5)

Step-by-step explanation:

Total - book $ - magazine $

Which is equal to:

Total + (-book $) + (-magazine $)

$35 + (-$7) + (-$5)

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
What is (2/x^2)^3 reduced to simplest form ?<br> A. 8x^-6 <br> B. 8x^6 <br> C. 6/x^6 <br> D. 8/ x^6
pashok25 [27]
<h2><em>What is (2/x^2)^3 reduced to simplest form ?</em></h2>

<em>A. 8x^-6 </em>

<em>B. 8x^6</em>

<em> C. 6/x^6</em>

<em> <u>D. 8/ x^6</u></em>

<em><u>hope </u></em><em><u>it</u></em><em><u> helps</u></em>

3 0
3 years ago
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