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Elena-2011 [213]
3 years ago
5

Write a polynomial function of least degree with integral coefficients that has the given zeros of 5 and -2i

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0
Hello :
f(x) = (x-5)(x+2i)
      = x² +2ix -5x-10i
f(x) = x² +(2i-5)x -10i 
<span>coefficients : a =1      b = 2i-5     c =-10i</span>
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Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
Find the product of 20x9x5. tell which property you used
alexdok [17]
Your product is 900 and you used associative property
3 0
3 years ago
Simplify these expressions. a.2r+3+4r. b.8+3d+d. c.mn+ (-3mm)+6 d. 10s + (-10) + (-4s)
Maru [420]

Step-by-step explanation:

<em>Combine like terms</em>

a. 2r + 3 + 4r = (2r + 4r) + 3 = 6r + 3

b. 8 + 3d + d = (3d + d) + 8 = 4d + 8

c. mn + (-3mn) + 6 = (mn - 3mn) + 6 = -2mn + 6

d. 10s + (-10) + (-4s) = (10s - 4s) - 10 = 14s - 10

<em>Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.</em>

7 0
3 years ago
PLEASE HELP ME!!! find the coordinates of the circumcenter of ABC. A(0,5), B(-4,5), C(-4,-3)
blondinia [14]
If you sketch the triangle you will see it is a right triangle with B being the vertex for the right angle. the orthocenter is the intercept of the three altitudes. for a right triangle, the orthocenter is the vertex where the right angle is.so the answer for this question is (-4,5)

6 0
3 years ago
If angle I is congruent to angle K, find JK.
Rudiy27
Using Isosceles triangle theorem we can determine that JI = JK
Thus
5x + 4 = 2x+7
3x = 3
x=1
Plug it back into the eqution for JK
2(1) + 7 = JK
9 = JK

5 0
3 years ago
Read 2 more answers
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