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Nady [450]
2 years ago
15

56 points for whoever answers correctly !

Mathematics
1 answer:
vladimir2022 [97]2 years ago
6 0

We need to use what we know about rectangles to get:

1)

  • Total length = 2*W + 8ft
  • Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool <u>plus twice the width of the sidewalk</u> (we add it twice because is in both ends) then we have:

  • Total length = L + 2*4ft = 2*W + 8ft
  • Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

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William is 3 years older than Charmaine.The sum of 3 times charmaines age and 2 times Williams age is 76.How old are William and
astra-53 [7]
Charmaine= x
William=x+3
3 times Charmaine = 3x
2times William = 2x+6
5x+6=76
5x=76-6
5x=70
X=14
Charmaine is 14
William is 3 years older so is 17

Check:
17x2= 34
14x3=42
34+42=76

So Charmaine is 14
William is 17
4 0
2 years ago
What is m = 2/3; (6, 1) in slope intercept form? :)
Marina86 [1]

Answer:

y = 2/3x - 3

Step-by-step explanation:

First let's look at what slope-intercept form is.

y = mx + b

m is the slope, which in this case is 2/3

b is the y-intercept, which we will find later.

Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.

y = mx + b

1 = 2/3(6) + b

Let's simplify this to find b.

[multiply] 1 = 4 + b

[subtract 4]

-3 = b

We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.

y = 2/3x - 3

This is your equation.

Check this by plugging in the point again.

1 = 2/3(6) - 3

[multiply] 1 = 4 - 3

[subtract]

1 = 1

This expression is true; therefore, your answer is correct.

Hope this helps!

7 0
2 years ago
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Rufina [12.5K]
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Answer:

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Hope it helps

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