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Amiraneli [1.4K]
3 years ago
11

What is the factored form of the polynomial z² − 10z + 25?

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

You might be interested in
The legs of a 45-45-90 triangle have a length of 8 units. What is the length of one of its hypotenuse?
olya-2409 [2.1K]
To find the hypotenuse of a 45 45 90 triangle, multiply the leg by sq root (2)

8 * sqrt(2) =  8 * <span> <span> <span> 1.4142135624 </span> </span> </span>
= <span> <span> <span> 11.313708499 </span> </span> </span>
Source:
http://www.1728.org/trig2.htm



8 0
3 years ago
To make a specific shade of green paint, Timia mixes 2 cups of blue paint with 10 cups of yellow point. How many cups of yellow
7nadin3 [17]

Answer:

1 cup of blue paint required 5 cups of yellow paints

<em />

Step-by-step explanation:

Given

2 cups of blue = 10 cups of yellow

Required

Determine the number of cups of yellow for 1 cup of blue paint

The given parameter shows a linear relationship between paints of blue and paints of yellow

We have:

2 cups of blue = 10 cups of yellow

Multiply both sides by 0.5

0.5* 2 cups of blue = 0.5* 10 cups of yellow

1 cup of blue = 5 cups of yellow

Hence;

<em>1 cup of blue paint required 5 cups of yellow paints</em>

7 0
3 years ago
The base of a rectangular prism has an area of 13 2/3, and the height of the prism is 8 5/6. What is the volume of the prism? Be
Fed [463]

Answer:

120 \frac{13}{18}

Step-by-step explanation:

<em><u>The formula for finding the volume of a prism is:</u></em>

V = Bh

<em><u>You have to convert 13 </u></em>\frac{2}{3}<em><u> into an improper fraction, like so:</u></em>

\frac{41}{3}

<em><u>Convert the other:</u></em>

<em><u /></em>\frac{53}{6}

<em><u>Multiply:</u></em>

<em><u /></em>\frac{41}{3} · \frac{53}{6} = \frac{2173}{18}

<em><u>Convert to mixed fraction:</u></em>

120 \frac{13}{18}

6 0
2 years ago
Please show your work.​
Nastasia [14]

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

8 0
3 years ago
You don't have to draw a line you can just type the volumes in terms of PI and just normal.
Nikolay [14]
Dill pickle 10.6^ units
3 0
3 years ago
Read 2 more answers
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