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3 years ago

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Mathematics

1 answer:

Gnesinka [82]3 years ago

8 0

Answer:

Step-by-step explanation:

If a square has 4 sides and the perimeter is 12x + 52, you have to divide 12x + 52 by 4 to get the length of a single side

12x / 4 = 3x

52 / 4 = 13

3x + 13

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A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence

REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

$A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}$

For second square:

Let y be the side of second square

$A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}$

Perimeter of First Square:

$P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet$

Perimeter of Second Square:

$P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet$

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

$P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet$

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

#LearnwithBrainly

6 0

3 years ago

use the function to answer the question. f(x)= x^3 + 5x^2 + 7x + 3 = (x+1)(x+1)(x+3) what is the multiplicity of the root -1? I

miskamm [114]

Since $f(x)=(x+1)^2(x+3)$ it follows that $x=-1$ is a root of multiplicity 2.

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3 years ago

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GenaCL600 [577]

Answer:

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Step-by-step explanation:

The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 21, 42, 63, 84, and 105. Points are shown on ordered pairs 0, 0 and ..

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5 0

2 years ago

use the distributive property to remove parentheses. Simplify your answer as much as possible. 1/2(4y+7)

Anna007 [38]

1/2(4y+7)

Use the distributive property. a(b+c)= ab+ac

1/2*4y= 2y

1/2*7= 3.5

2y+3.5 <---- simplified expression

I hope this helps!
~kaikers

7 0

3 years ago

Read 2 more answers

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$