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andriy [413]
3 years ago
6

Find the distance between points 5,9 and (7,-7) using the distance formual

Mathematics
1 answer:
mart [117]3 years ago
5 0
========================================
Formula to find Distance:
========================================
\text{Distance = }  \sqrt{X2-X1)^2 + (Y2-Y1)^2}

========================================
Find Distance between (5, 9) and (7, -7):
========================================

X2 = 5, X1 = 7, Y2 = 9, Y1 = -7, therefore,

\text{Distance = }  \sqrt{(9+7)^2 + (5-7)^2}
\text{Distance = }  \sqrt{(16)^2 + (2)^2}
\text{Distance = }  \sqrt{256 + 4}
\text{Distance = }  \sqrt{260}
\text{Distance = } 16.12 \text{ units}

========================================
Answer: 16.12 units
========================================
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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

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Step-by-step explanation:

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Step-by-step explanation:

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The answer you are looking for is 14.
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