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egoroff_w [7]
3 years ago
9

Suppose the length of each side of a

Mathematics
2 answers:
ZanzabumX [31]3 years ago
4 0

Answer:9 feet

Step-by-step explanation:

let the original length Of The square be y

When the length is increased by 5,the new length will be y+5

Perimeter=4 x length

Perimeter=56

4 x (y+5)=56

Divide both sides by 4

(4x(y+5))/4=56/4

y+5=14

Collect like terms

y=14-5

y=9

Ilya [14]3 years ago
3 0

Answer:

The original side length of the square was 9 ft

Step-by-step explanation:

Consider that the square was initially of side length "x" (our unknown). Then the sides were all increased by 5 ft, and now the perimeter (addition of all four sides) of the square render 56 ft.

Let's write an equation that represents the addition of the four sides of this new rectangle, and set it equal to 56 ft. Then solve for the unknown "x":

(x+5)+(x+5)+(x+5)+(x+5)=56\\x+x+x+x+5+5+5+5=56\\4x+20=56\\4x=56-20\\4x=36\\x=9

Therefore, the original side of the square was 9 ft.

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RSB [31]

k = 13The smallest zero or root is x = -10

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

Steps:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

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<em><u>Hope this helps.</u></em>

3 0
3 years ago
PLEASE HELP THIS IS A TIMED QUESTION ON A QUIZ!!!
pantera1 [17]

Answer:

  • a)  11, d) 25, e) 14, b) 25, c) 28, f) 33

Step-by-step explanation:

<h3>Given</h3>
  • ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22
<h3>To find</h3>
  • HE , DE , CH, EF,  HF, BE
<h3>Solution</h3>

As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median

  • a) HE =  1/2BH = 1/2(22) = 11
  • d) DE =  1/2DF = 1/2(50) = 25
  • e) CH =  1/3CF = 1/3(42) = 14
  • b) EF =  DE = 25
  • c) HF =  2/3CF = 2/3(42) = 28
  • f) BE =BH + HE = 22 + 11 = 33
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3 years ago
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Step-by-step explanation:

I think when you put the numbers orderwise

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Identify the terms. (include 20)<br> 3x+5=20
Reika [66]

Answer:

x = 2.5

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Equation:

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Starting:

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Conclusion:

x = 2.5

Check:

2.5 * 8 = 20

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