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Ulleksa [173]
2 years ago
13

If the sides of a square are increased by 3 inches, the area becomes 64

Mathematics
1 answer:
seropon [69]2 years ago
4 0

Answer:

Length\ of\ the\ side=5\ inches

Step-by-step explanation:

Let x be the length of the sides of the original square.

Given:

The sides of a square are increased by 3 inches, the area becomes 64

So, the length of the side x+3

The area of the square is

Area=(length\ of\ the\ side)^{2}

Area=(x+3)^{2}

Substitute area value in above equation.

64=(x+3)^{2}

(x+3)=(64)^{\frac{1}{2}}

x+3=\sqrt{64}

x+3=\sqrt{8^{2}}

x+3=8

x=8-3

x=5\ inches

Therefore, the length of the sides of the original square is 5 inches.

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In order to subtract a whole number from a fraction, you first have to turn the hole number into a mixed fraction.

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Say your fraction was 2/3 and your whole number was 5.

They have to have like denominators

5/1 - 2/3 = 15/3 - 2/3

15/3 - 2/3 = 13/3

13/3 = 4 1/3

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
2 years ago
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