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NemiM [27]
3 years ago
9

What is the prime factorization of the number 25

Mathematics
2 answers:
Len [333]3 years ago
7 0
25|5 \\ 5 \ |5 \\ 1 \\\\ 25=5^2
Lunna [17]3 years ago
3 0
25  =  1 x 5 x 5

Those are all the prime factors of 25.
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The roots of a quadratic equation ax2+bx+c=0 are 1+i 5 and 1−i 5 . Find possible values of a, b and c.
Anarel [89]

Answer:

Step-by-step explanation:

If the roots are 1 + 5i and 1 - 5i, then you need the factors that result from those roots.  They are (x - 1 + 5i) and (x - 1 - 5i).  Now what you do with those is FOIL them out.  Doing that gives you the following:

x^2-x+5ix-x+1-5i-5ix+5i-25i^2 (what a mess, huh?)

The good thing is that several of those terms cancel each other out.  +5ix cancels out the -5ix; -5i cancels out the 5i; and the 2 -x terms combine to -2x.  That leaves you with:

x^2-2x-25i^2

Obviously you're in the section in math that deals with complex (imaginary) numbers so you should know that i-squared is equal to -1.  Making that replacement:

x^2-2x+25

a = 1, b = -2, c = 25

6 0
3 years ago
Read 2 more answers
Which of the following does the situation below best describe?
mestny [16]
The answer to the question is c
3 0
3 years ago
HELP! 20 POINTS
guajiro [1.7K]
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7 0
3 years ago
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3 0
3 years ago
Read 2 more answers
1. Mark and Bill have a combined weight of 170
qwelly [4]
<h3>Equation : x + y = 170 and y = 2x - 40</h3><h3>The weight of Bill is 70 pounds and weight of mark is 100 pounds</h3>

<em><u>Solution:</u></em>

Let the weight of Bill be "x"

Let the weight of mark be "y"

Given that,

Mark and Bill have a combined weight of 170  pounds

Therefore,

x + y = 170 ------- eqn 1

Mark weighs 40 pounds less than twice Bill's  weight

y = 2x - 40 ------- eqn 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

x + 2x - 40 = 170

3x = 170 + 40

3x = 210

x = 70

<em><u>Substitute x = 70 in eqn 2</u></em>

y = 2(70) - 40

y = 140 - 40

y = 100

Thus weight of Bill is 70 pounds and weight of mark is 100 pounds

6 0
3 years ago
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