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Bezzdna [24]
3 years ago
6

Mark knows that his yard is 214 times as long as it is wide. Which equation shows the length, in feet, of the fence that goes al

l the way around the yard if Mark measures the width as w feet?
Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

Length in feet is equal to \frac{2P}{6.5}, where P is the perimeter

Step-by-step explanation:

Let the width (W) of the yard be "X"

W = w

Then the length(L) of the yard will be

2\frac{1}{4} * w

L = \frac{9}{4} *w

The perimeter of the yard will be equal to the sum of twice the length and width of the yard

Thus,

P = 2 W + 2L\\

Substituting the given values in above equation, we get -

P = 2 w + 2 (\frac{9}{4})w\\P = 2w + 4.5 w\\P = 6.5w

Thus, width in terms of perimeter is equal to

w = \frac{P}{6.5}

Length in feet is equal to \frac{2P}{6.5}

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svp [43]

Answer:

The conic is ellipse of equation (x - 1)²/22 + (y + 4)²/44 = 1

Step-by-step explanation:

* Lets revise how to identify the type of the conic  

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 Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal  

 to each other, then the graph is an ellipse.  

- If A and C are equal and nonzero and have the same sign, then  

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- If A and C are nonzero and have opposite signs, and are not equal  

then the graph is a hyperbola.  

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* Now lets solve the problem

The equation is 4x² + 2y² - 8x + 16y - 52 = 0

∴ A = 4 and C = 2 ⇒ same sign and different values

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- Group terms that contain the same variable, and move the

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∴ (4x² - 8x) + (2y² + 16y) = 52

- Factorize the coefficients of the squared terms

∴ 4(x² - 2x) + 2(y² + 8y) = 52

- Complete the square for x and y

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- Add and subtract this square number and form the bracket of

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# 2 ÷ 2 = 1 ⇒ (1)² = 1 ⇒ add and subtract 1

∴ 4[(x² - 2x + 1) - 1] = 4(x² - 2x + 1) - 4

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# 8 ÷ 2 = 4 ⇒ (4)² = 16 ⇒ add and subtract 16

∴ 2[(y² + 8y + 16) - 16] = 2(y² + 8y + 16)² - 32

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∴ 4(x - 1)² - 4 + 2(y + 4)² - 32 = 52

∴ 4(x - 1)² - 4 + 2(y + 4)² = 32 + 4 + 52

∴ 4(x - 1)² + 2(y + 4)² = 88 ⇒ divide all terms by 88

∴ (x - 1)²/22 + (y + 4)²/44 = 1

8 0
2 years ago
I'm stuck. what do i do next??
Aneli [31]
Here is your solution,
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or
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So m = 8,17
6 0
3 years ago
Which graph shows the line y - 2 = 2(x + 2)?
klasskru [66]
For this case we have the following linear function:
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\large\underline{\bf\red{Solution:-}}

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3 years ago
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Step-by-step explanation:

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