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3 years ago

Write the equation of the circle that has a diameter with endpoints (3,7) and (3, 1)

Mathematics

1 answer:

lina2011 [118]3 years ago

7 0

Answer:

(x - 3)^2 + (y - 4)^2 = 3^2

Step-by-step explanation:

Notice that both endpoints are on the vertical line x = 3. Thus, to determine the diameter of this circle, we need only subtract 1 from 7, obtaining 6. The diameter is 6, so the radius is 3.

The center is on the vertical line x = 3 and is halfway between the endpoints of the diameter, that is, at y = 4. (3, 4) describes this point.

Then we insert the known quantities into the general equation for a circle with center at (h, k) and radius r: 3 for h, 4 for k and 3 for r:

(x - 3)^2 + (y - 4)^2 = 3^2 is the desired equation.

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How does 6+(-3) equal 3? I don't understand what I have to do to get that answer.

WITCHER [35]

Answer:

look at the explanantion <33

Step-by-step explanation:

so negative numbers are basically numbers with minus signs in front of them. So when you add a negative number, its basically like subtracting a number. so by adding negative three, youre subtacting 3.

6-3 is 3. does that make sense?

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3 years ago

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An apple orchard has an average yield of 40 bushels of apples per tree if tree density is 28 trees per acre. For each unit incre

Mandarinka [93]

Answer:

24 trees per acre

Step-by-step explanation:

Let x be the optimal tree density per acre and y be the number of bushels yield per tree

Since for each unit change of x from 28 trees/acre, we have 2 unit change of y from 40 bushels per tree in the reversed direction

Change of x from 28 is x - 28

Change of y from 40 is y - 40

Therefore we have y - 40 = -2(x - 28) or y = 40 - 2(x - 28) = -2x + 96

The total bushels per acre should be y bushels/tree * x tree/acre. We want to optimize this. Substitute the above equation in for y and we have

$T = xy = x(-2x+96)$

$T = -2x^2 + 96x$

To find the maximum value of this, we can take the first derivative and set it to 0

$T^{'} = -4x + 96 = 0$

$4x = 96$

$x = 24$

We know this is a maxima because $T{''} = -4 < 0$ . So T is maximum when x = 24 trees per acre

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4 years ago

HELP! Find area of trapezoid

grandymaker [24]

The area of a trapezoid is found by averaging the bases and multiplying the height. to average the bases, you take 22ft + 14ft to get 36ft and then divide it by 2 since there are 2 numbers to average to get 18ft. Then you just multiply that by 8ft to get your area of 144ft^2 (square feet).

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galina1969 [7]

(D)All rhombuses are quadrilaterals (Always).

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Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full cred

svp [43]

Answer:

The system has infinite solutions

Step-by-step explanation:

For a system of two linear equations it is always true that if one equation is a linear combination of another, then the system will have infinite solutions.

Suppose we have the following system:

$ax + by = c\\dx + hy = f$