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marta [7]
3 years ago
15

2. Samantha's mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkwa on two sides of t

he pond. Below is a picture of the pond." Assuming that the walkway has the same width, x, along its two sides, and assuming the entire walkway will use exactly 6 ft. of brick, answer the following questions. Brick C. Use any method to figure out how much the width, x, of the walkway will be. Make sure you show your work.​
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

3 feets

Step-by-step explanation:

Given that :

Entire walkway uses 6 feets of brick

Width of walkway = x

Width of walkway is the same along both sides ;

SINCE, the number of sides of the walkway = 2 and each side is the same

Hence,

x + x = 6 feets

2x = 6 feets

x = 6 feets / 2

x = 3 feets

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Adjust the equation so the line passes through the points. Y=x+1
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Answer:

Slope=  

2.000

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​  

=1.000

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STEP

1

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Equation of a Straight Line

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Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

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y tells us how far up the line goes

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m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

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Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

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Calculate the X-Intercept :

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Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

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1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

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