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Snowcat [4.5K]
2 years ago
15

ASAP PLEASE <3A rectangular garden has length and width as given by the expressions below. Length: 4 − 7(3x + 4y) Width: 3x(−

2y) Write a simplified expression for the perimeter of the rectangle. blank − xblank − y −blank xy
Mathematics
1 answer:
creativ13 [48]2 years ago
4 0

Answer:

  • 8 - 42x - 56y - 12xy

Step-by-step explanation:

<u>Given sides of a rectangle</u>

  • Length: l =4 − 7(3x + 4y)
  • Width: w = 3x(−2y)

<u>Perimeter of rectangle</u>

  • P = 2(l + w)

<u>Using the given values</u>

  • P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
  • 2( 4 - 21x - 28y - 6xy) =
  • 8 - 42x - 56y - 12xy
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what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one​
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Answer:

\large\boxed{x^2+y^2+4x-2y+1=0}

Step-by-step explanation:

The standard form of an equation of a circle:

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(h, k) - center

r - radius

The general form of an equation of a circle:

x^2+y^2+Dx+Ey+F=0

We have the center (-2, 1). Substitute to the equation in the standard form:

(x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2

Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:

(-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4

Therefore we have the equation:

(x+2)^2+(y-1)^2=4

Convert to the general form.

Use (a\pm b)^2=a^2\pm 2ab+b^2

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3 years ago
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