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pashok25 [27]
1 year ago
15

Y is the midpoint of XZ. X has coordinates (2,4), and Y has coordinates (-1,1). Find the coordinates of Z.

Mathematics
1 answer:
g100num [7]1 year ago
8 0
The x coordinate of Z is -4. The y coordinate of Z is -2. I
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Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?
svlad2 [7]

Answer:

C. f(x)=(x-(7-i))(x-(5+i))(x-(7+i))(x-(5-i))

Step-by-step explanation:

We want to find the equation of a polynomial the following properties;

i. Leading coefficient is 1

ii. roots (7 + i) and (5 – i) with multiplicity 1

Recall the complex conjugate properties of the roots of a polynomial.

According to this property, if

a+bi is a root of a polynomial, then the complex conjugate, a-bi  is also a root.

This means that:

(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial.

The complete set of roots are:

x=(7+i),x=(7-i),x=(5-i),x=(5+i)

Therefore the polynomial is:

f(x)=(x-(7-i))(x-(5+i))(x-(7+i))(x-(5-i))

The correct choice is C.

3 0
2 years ago
Read 2 more answers
Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step
Arturiano [62]
Step 2 is the answer
3 0
2 years ago
Read 2 more answers
A line contains the points (82, −96) and (87, −86).
Alik [6]

Answer:

<h2>The answer is 2</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

m =  \frac{ - 86 -  - 96}{87 - 82}  =  \frac{ - 86 + 96}{5}  =  \frac{10}{5}  = 2 \\

We have the final answer as

<h3>2 </h3>

Hope this helps you

8 0
2 years ago
What is the value of x is in the solution set of 2x - 3 &gt; 11 - 5x
Burka [1]

Step 1: Simplify both sides of the inequality.
2 x − 3 > − 5 x + 11

Step 2: Add 5x to both sides.
2 x − 3 + 5 x > − 5 x + 11 + 5 x
7 x − 3 > 11

Step 3: Add 3 to both sides.
7 x − 3 + 3 > 11 + 3
7 x > 14

Step 4: Divide both sides by 7.
7 x
7 > 14
7
x > 2
7 0
1 year ago
Abe is a big gambler. He is equally likely to win, lose, or break even. When he loses, his loss is $1000. When he wins, he eithe
Klio2033 [76]
<span>Your current choice should be: Abe wins $83.</span>
5 0
1 year ago
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