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Lady bird [3.3K]
3 years ago
9

A wooden door contains a rectangular window. The width of the window is (x - 2) feet. The area of the window can be represented

by x ^ 2 - 3x + 2 .
a. Write a binomial that represents the height of the window.

b. The height of the door is 5 feet more than the height of the window. Write a polynomial that represents the height of the door.

c. The area of the door can be represented by x ^ 2 + 4x . The area is 32 square feet . Find the width and the height of the window.

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:  height of the door is x+4

Step-by-step explanation:

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Answer:

Parallel line:

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Perpendicular line:

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Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

4x+5y=19

we can change it into y=mx+b form

5y=-4x+19

y=-\frac{4}{5}x+\frac{19}{5}

so,

m=-\frac{4}{5}

Parallel line:

we know that slope of two parallel lines are always same

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m'=-\frac{4}{5}

Let's assume parallel line passes through (1,1)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-1=-\frac{4}{5}(x-1)

now, we can solve for y

y=-\frac{4}{5}x+\frac{9}{5}

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

m'=\frac{5}{4}

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

y-y_1=m'(x-x_1)

we can plug values

y-2=\frac{5}{4}(x-2)

now, we can solve for y

y=\frac{5}{4}x-\frac{1}{2}


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