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Fittoniya [83]
3 years ago
5

Replace the exponent with a product and then transform the product into a polynomial. (x+10)^2

Mathematics
1 answer:
kupik [55]3 years ago
4 0

Answer:

x^2 +20x+100

Step-by-step explanation:

(x+10)^2

(x+10) (x+10)

FOIL

first:x*x = x^2

outer: x*10

Inner 10*x

last: 10*10 =100

Add them together

x^2+10x+10x+100

x^2 +20x+100

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(6 + (–2)) + 2 • (–8) • 42 = ________<br><br> A.1024<br><br> B.768<br><br> C.–256<br><br> D.–252
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2 years ago
the length of a rectangular garden is 3 m greater than the width. The area of the garden is 70m squared. find the dimensions of
Lerok [7]
A = l x w

so you know that the length is 3m longer than the width, so you could use a formula to represent that

w = l + 3

you then substitute the second equation into the first to solve for l

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70 = l^2 + 3l

you could then rearrange the formula and solve for l using the quadratic formula 

0 = l^2 + 3l - 70

l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2

then you solve for the two seperate roots

l = -3 + 17 /2
l = 14 / 2
l = 7

or 

l = -3 - 17 / 2
l = -20 / 2
l = -10

since a length cannot be negative, this root is not viable. therefore l = 7

to solve for w you would use

w = l + 3
w = 7 + 3
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hope this helps! if you did not understand a step or concept please let me know!
4 0
3 years ago
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