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svetoff [14.1K]

3 years ago

5

A rectangle is 7 feet long by 2 feet wide. If 2 feet are added to the length of the rectangle, what would be the area, in square

feet, of the new rectangle?

2 answers:

BartSMP [9]3 years ago

5 0

Hi there!

To find the area of the new rectangle, we need to add 2 to the length, and find the area.

7 + 2 = 9

9 * 2 = 18

The new area of the rectangle is 18 square feet.

Hope this helps!

Olin [163]3 years ago

3 0

It would be 9 x 2 so the area would be 18 sq ft

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Nonamiya [84]

Answer:

a. x = 180 - (j + k)

b.

j + k = (5x - 2) + (2x - 2) = 7x - 4

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3 years ago

Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and ra

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Answer:

This is a sphere with a center $(\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )$ and radius $\dfrac{4 \sqrt{3}}{3}$

Step-by-step explanation:

Given that: (x,y,z)

where;

d₁ is the distance from the origin = $\sqrt{x^2+y^2+z^2}$

d₂ is the distance from (2,2,2) = $\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}$

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$x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)$

$x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2$

$x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)$

$x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y +16 + 4z^2 -16z+16$

Collect the like terms:

$0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16$

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Divide both sides by 3

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