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3 years ago

Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

Mathematics

1 answer:

kogti [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Standard form for a circle is

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius

--------------------------------

x² + y² - 18x + 24y = -200

Rearrange

(x² - 18x) + (y² + 24y) = -200

Complete the square for x

(x - 9)² + (y² + 24y) = -200 + (-9)²

Complete the sqaure for y

(x - 9)² + (y + 12)² = -200 + (-9)² + 12²

(x - 9)² + (y + 12)² = 25

Now the equation is in standard form

r² = 25

r = 5

Therefor Diameter = 10

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Brainlest!! which of the following graphs represents a function HURRY.

ahrayia [7]

Answer:

Graph A and C

Step-by-step explanation:

Because for every x point there is just one y point.

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3 years ago

A point p in the first quadrant lies on the parabola y=x^2. Express the coordinates of p as a function of the angle of inclinati

max2010maxim [7]

Answer:

The coordinates of the point p are: $(x,xtan\alpha )$

Explanation:

1. Name the angle of inclination of the line joining p to the origin α.

2. Find the relation between the coordinates of the point (x,y)

When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).

As per the definition of the tangent trigonometric ratio you have:

$tan\alpha =\frac{y}{x}$

From which you can clear y:

$y=xtan\alpha =>(x,y)=(x,xtan\alpha )$

Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.

8 0

3 years ago

What is the vertex form of the parabola whose standard form equation is y=5x^2-30x+49

agasfer [191]

Answer:

The vertex is (3,4)

Step-by-step explanation:

To convert a quadratic from

y = a x 2 + b x + c

form to vertex form,

y = a ( x − h ) 2 + k , you use the process of completing the square.

First, we must isolate the x

terms:

y − 49 = 5 x 2 − 30 x + 49 − 49

y − 49 = 5 x 2 − 30 x

We need a leading coefficient of 1

for completing the square, so factor out the current leading coefficient of 2.

y − 49 = 5 ( x 2 − 6 x )

Next, we need to add the correct number to both sides of the equation to create a perfect square. However, because the number will be placed inside the parenthesis on the right side we must factor it by

on the left side of the equation. This is the coefficient we factored out in the previous step.

y − 49 + ( 5 ⋅ ? ) = 5 ( x 2 − 6 x + ? )

<- Hint:

62 = 3 ; 3 ⋅ 3 = 9

y − 49 + ( 5 ⋅ 9 ) = 5 ( x 2 − 6 x + 9 )

y− 49 + 45 = 5 ( x 2 − 6 x + 9 )

y − 4 = 5 ( x 2 − 6 x + 9 )

Then, we need to create the square on the right hand side of the equation:

y − 4 = 5 ( x − 3 ) 2

Now, isolate the y term:

y − 4 + 4 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

The vertex is:

( 3 , 4 )

7 0

3 years ago

I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i

Debora [2.8K]

Answer:

Hello!

YOUR ANSWER IS 315 DEGREES MORE

Step-by-step explanation:

To get it to the start position is the same as TURNING IT 360 DEGREES!

So from 45 degrees to reach 360 degrees...another 315 degrees will be needed!

HOPE THIS HELPS!!

4 0

3 years ago

Mary bought 4 apples at $8. Complete the table. Apples Price 1 4 3 6 7

Eva8 [605]

Mary bought 4 apples at $8

so unit price = 8/4 = $2/each

Table:

Apples Price

1 $2

3 $6

4 $8

7 $14

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4 years ago

Read 2 more answers