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3 years ago

The length of Marshall's poster is 2 times its width. If the perimeter is 72 inches, what is the area of the poster?

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

8 0

X= width
2x= length
2x+4x=72
6x=72
X=12
2(12)x(12)=24x12
The answer is 288 sq. in.

lesya [120]3 years ago

3 0

$x-width\\2x-length\\\\2x+2\cdot2x=72\\2x+4x=72\\6x=72\ \ \ \ |:6\\x=12\\\\2x=2\cdot12=24\\\\Area=24\cdot12=288\ in^2$

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Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

$x^2+y^2+4x-12y+4=0$

Collect like terms and subtract 4 from both sides:

$\implies x^2+4x+y^2-12y=-4$

Complete the square for both variables by adding the square of half of the coefficient of $x$ and $y$ to both sides:

$\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2$

$\implies x^2+4x+4+y^2-12y+36=-4+4+36$

Factor both variables:

$\implies (x+2)^2+(y-6)^2=36$

Therefore:

center = (-2, 6)
radius = √36 = 6

7 0

1 year ago

Vivian red 14 fewer pages than she was assigned to read she read 60 Pages write and solve an equation to find how many pages P V

ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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3 years ago

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KatRina [158]

T : m
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marishachu [46]

Question

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Alona [7]

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