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Novosadov [1.4K]
2 years ago
10

The perimeter of a rectangular window is 43 feet. The width of the window is 5 ft more than the length. Find the width of the wi

ndow
Mathematics
2 answers:
Greeley [361]2 years ago
8 0

Answer:

  13.25 ft

Step-by-step explanation:

Let w represent the width of the window. Then w-5 represents the length, and the perimeter is ...

  P = 2(L+W)

  43 = 2((w-5) +w) = 4w -10

  53/4 = w = 13.25 . . . feet

The width of the window is 13.25 ft.

Paul [167]2 years ago
7 0
The answer is 13.25
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Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
2 years ago
Manny and Susan have an egg carton full of eggs to use for their science project.
scoray [572]

Answer:

5/6

Step-by-step explanation:

1/3 + 1/2 is a simple addition fraction problem.

You'd find the LCM (lowest common denominator) which is 6. First, we'll take 1/3 which the denominator becomes 6. You see one side has been basically multiplied by 2, so you'd do it to both sides, giving us 2/6. Next, we do the same thing with 1/2. 2 -> 6 1 -> 3. 3/6. So finally, we have 3/6 + 2/6, which is 5/6.

6 0
3 years ago
Given h(x) = 5x -1, find h(1).
Norma-Jean [14]
H(1) = 4


h(1)= 5 x 1 -1
=5-1
=4
hope that helps <3
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3 years ago
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Usimov [2.4K]
Complementary angles

Explanation:
Completely angles are two angles that equal 90°
This is a perfect example of that
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2 years ago
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Step-by-step explanation:

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