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uysha [10]
3 years ago
15

What is the standard form of a quadratic equation

Mathematics
1 answer:
Alla [95]3 years ago
3 0
Write out the equation in word form. That`s the answer

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Write the equation of the circle whose center is (-4,8) and has a diameter of 18
svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0
2 years ago
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circl
torisob [31]
Please note that pi has just one value.  The only difference stems from round-off error when you don't use all of the digits following "3.14159 ... " to represent the value of pi.  The formula for circumference is C = 2 pi r, or C = pi d, 
where r=radius and d=diameter.

Circle A:  Diameter 9 inches and Circumference of 28.26 inches

If the diameter is 9 inches, then C = 28.26 inches = pi (9 inches).  Divide 28.26 inches by 9 inches.  Note that you MUST round off the ratio (pi) that you obtain, since 28.26 has 4 significant figures and 9 has just one.

28.26
------- = 3.14, but because 9 has just one significant figure, you must round 
    9           this 3.14 to just 3.


6 0
3 years ago
Which of the following represents a number between 0.01 and 0.001?
FinnZ [79.3K]
To compare the numbers, go from left to right examining the numbers carefully. so look at a., 3.7 can be written as 3.700, if u look, 3 and 0, it is definetly bigger than 0.01 and 0.001
5 0
3 years ago
Amelia stores her gardening supplies in two cube shaped boxes. The smaller box has a volume of 100 inches to the third power. Am
Solnce55 [7]

Answer:

1000000 for the smaller box.

I need more info for the second box

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which one is the warmest and why please​
charle [14.2K]

Answer:

the warmest is wilmington

Step-by-step explanation:

it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives

8 0
3 years ago
Read 2 more answers
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