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Vikki [24]
2 years ago
10

A sheet of metal is 9 inches longer than it is wide, and its total area is 252 square inches. Find the dimensions of the sheet o

f metal.
If w represents the width of the metal sheet, which of the following equations is a model for the given word problem?


A.
(3, –7)
B.
(–2, 7) and (3, –3)
C.
(3, 3)
D.
(2, 7) and (3, 9)
Mathematics
1 answer:
erastova [34]2 years ago
7 0
(9+w)w=252 or w(w+9)=252.
The quadratic equation applies: w²+9w-252=0=(w+21)(w-12), so w=12, because a negative zero is meaningless.
So the dimensions are width=12 in and length=21 in.
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tigry1 [53]
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8 0
3 years ago
If y=3x^3+x^2-5 and z=x^2-12 what polynomial is equivalent to 2(y+z)
marysya [2.9K]

Answer:

2y + 2z

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Step-by-step explanation:

6 0
2 years ago
20.
Alik [6]

Answer:

After 3 seconds

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

Seconds to attain maximum height

The maximum of a quadratic function y = ax^2 + bx + c is calculated using:

x = -\frac{b}{2a}

So, we have:

t = -\frac{b}{2a}

Where:

a = -16 and b = 96

So:

t = -\frac{96}{2 * -16}

t = -\frac{96}{-32}

Cancel out negatives

t = \frac{96}{32}

t = 3

5 0
2 years ago
Melissa estimated the length of a room is her house to be 13 ft . The actual length of the room is 11 ft. Find the absolute erro
Trava [24]

Answer:

Step-by-step explanation:

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7 0
2 years ago
Which of the following equations represents a line that is perpendicular to y=-4x+9 and passes through the point, (4,5)?
kap26 [50]

Answer:

y = \frac{1}{4}x + 4 \\or\\4y = x + 16

Step-by-step explanation:

Given equation of line is:

y = -4x+9

Comparing it with the standard form

y = mx+b

m = -4

As we know that the product of slopes of perpendicular lines is -1

Let m1 be the slope of perpendicular line

m * m1 = -1

-4 * m1 = -1

m1 = -1/-4

m1 = 1/4

In order to find the value of b, putting the point in standard form

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5 = 1 + b

b = 5-1

b = 4

Putting the value of b and m1 in standard form

y = \frac{1}{4}x + 4 \\or\\4y = x + 16 ..

3 0
3 years ago
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