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1 year ago

Find the slope of the line that passes through (3, 5) and (100, 98).

Mathematics

2 answers:

Otrada [13]1 year ago

8 0

93/97

Decimal Answer : 0.958763

Elena L [17]1 year ago

6 0

Answer:

first you need to use the y1, y2 and x1, x2 method to find the slope that gets you 93 over 97 or just 93/97

Step-by-step explanation:

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Andre tried to solve the equation 1/4(x+12)=2 what was his mistake?

GarryVolchara [31]

Step-by-step explanation:

1. 1/4(x + 12)=2 - first isolate X'

- 12 -12

2. 1/4(x) = -10 - 1/4 since its a fraction, you'll have to subtract not divide

-1/4 - 1/4

3. x = -10.25

Andre did the first step correctly, but on the second step he just divided 1.4 by -10, instead of subtract 1/4 from both sides.

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3 years ago

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3 years ago

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3 years ago

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

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2 years ago

A building has 4 offices. There are 4 people in each of the offices. Each person has 4 chairs.

laila [671]

The answer to this would be 4^3 or 4×4×4.
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2 years ago

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