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3 years ago

The length of a rectangle is twice the width. The perimeter 66ft. Find the length and the width

2 answers:

3 0

P = 2l + 2w

l = 2x
w = x

66 = 2(2x) + 2(x)
66 = 4x + 2x
66 = 6x
/6 /6
11 = x

L = 2x
L = 2(11)
L = 22

W = x
W = 11

Therefore the length is 22ft and the width is 11ft

JulijaS [17]3 years ago

3 0

22 is length and 11 is the width

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Please help I will give you Brainlest and 10 point's

Luba_88 [7]

a) To find the volume of a cube, you cube the side length.

So, that will be V = 9/2³ = 729/8 in³.

b) To find the volume of a rectangular prism, you multiply the length by the width by the height.

So, that is V = 18 * 9 * 9/2 = 729 in³.

c) To find how many times the smaller box can go into the larger one, you divide the larger one's volume over the smaller one's.

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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the

tangare [24]

Answer:

Option D) h(x), f(x), g(x)

Step-by-step explanation:

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex of the parabola

Part 1) we have

$f(x)=4x^{2} -1$

This is a vertical parabola open upward

The vertex is a minimum The vertex is the point (0,-1)

The x-coordinate of the vertex is 0

The axis of symmetry is x=0

Part 2) we have

$g(x)=x^{2}-8x+5$

This is a vertical parabola open upward

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Convert the equation into vertex form

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$g(x)+11=x^{2}-8x+16$

$g(x)+11=(x-4)^{2}$

$g(x)=(x-4)^{2}-11$

The vertex is the point (4,-11)

The x-coordinate of the vertex is 4

The axis of symmetry is x=4

Part 3) we have

$h(x)=-3x^{2}-12x+1$

This is a vertical parabola open downward

The vertex is a maximum

Convert the equation into vertex form

$h(x)-1=-3x^{2}-12x$

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$h(x)-13=-3(x+2)^{2}$

$h(x)=-3(x+2)^{2}+13$

The vertex is the point (-2,13)

The x-coordinate of the vertex is -2

The axis of symmetry is x=-2

Part 4) Rank their axis of symmetry from least to greatest

1) h(x) -----> axis of symmetry -2

2) f(x) -----> axis of symmetry 0

3) g(x) -----> axis of symmetry 4

h(x),f(x),g(x)

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