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omeli [17]
3 years ago
6

A rectangular kitchen is 4 meters longer than it is wide. If the area of the kitchen is 192 square feet meters, how many meters

long is it.

Mathematics
1 answer:
Lunna [17]3 years ago
3 0
Lets x = width
length = x + 4 (4 meters longer than wide)

A = L * W
192 = x ( x +4)
192 = x^2 + 4x
x^2 + 4x - 192 = 0
(x +16)(x-12) = 0
 x - 12 = 0, x = 12
 x + 16 = 0, x = -16
so width x = 12
length = 12 + 4 = 16 (4 meters longer than wide)

answer. J
16
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Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
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Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

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x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

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We multiple that number by the amount of days open so is would be 43600 x 15

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7 0
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We want to find a polynomial given that we know its roots and a point on the graph.

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Here we know that the roots are:

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Then the roots are: {1, 1, 0, -2}

We can write the polynomial as:

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This means that:

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Then we can solve:

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Then the polynomial is:

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If you want to learn more, you can read:

brainly.com/question/11536910

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