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2 years ago

Is it possible for two different linear functions to have the same y-intercept? Explain.

Mathematics

1 answer:

Lesechka [4]2 years ago

7 0

No its not possible I cant explain right now because I'm in class but I will later

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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:

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

3 0

2 years ago

A framer sells 16 pounds or his small 48 pound potato crops what percent does he sell

ANEK [815]

Answer:

Is it 32

Step-by-step explanation:

I think your suppose to subtract if you get it wrong i'm sorry

6 0

2 years ago

Read 2 more answers

Mekela earned $65.25 for 9 hours of work. This week she earned $101.50 for 14 hours. Which equation represents the relationship

cestrela7 [59]

Y = 7.25x

Where x = hours.

You can get this by dividing the amount by the amount of hours in each pair.

6 0

2 years ago

Which is the center of a circle whose equation is x2+y2+4x-8y+11=0?

Nikolay [14]

Answer:

Center (-2 , 4)

Step-by-step explanation:

x^2 + 4x + y^2 - 8y = - 11

(x^2 + 4x + (4/2)^2 + (y^2 - 8y + (8/2)^2 ) = - 11 + 4 + 16

(x + 2)^2 + (y - 4)^2 = 9

Center (-2, 4)

6 0

2 years ago

If the original statement is in the form "If a, then b," then the inverse is in the form "_____" answers attached

Zanzabum

Answer:

If not a then not b

Step-by-step explanation:

Probably gonna want to watch a video that goes over everything. Or do a search online for converse, inverse and contrapositive.

3 0

2 years ago