All categories

3 years ago

Which equation represents a circle with a center at (2,-8) and a radius of 11

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

(x - 2)² + (y + 8)² = 121

Step-by-step explanation:

circle: (x – h)² + (y – k)² = r² (h , k) center r: radius

h = 2 k = - 8 r = 11

equation: (x - 2)² + (y + 8)² = 121

You might be interested in

In this activity, you will create an equation for a function represented by a verbal description.

alexira [117]

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

6 0

3 years ago

Help me with this please!

erastova [34]

7 Miles Per Hour Is The Answer.

3 0

3 years ago

Hello, I would like help with this, please.

disa [49]

Answer:

slope= 1/2

Step-by-step explanation:

part a)

m= 4 - 0 / 8 - 0

= 1/2

5 0

3 years ago

An author is writing and illustrating a new book. The ratio of pages with text to pages with illustrations is represented in the

Nitella [24]

Answer:

Th number of pages is 33

Step-by-step explanation:

The ratio of the number of pages of text shown in the illustration is 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;

2 page of illustration = 3 page of text

Then

22 page of illustration = x pages of text

Then by Cross multiplication

$22 \times 3 = x \times 2$

$66 = 2x$

x = $\frac{66}{2}$

x = 33

4 0

3 years ago

Read 2 more answers

a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the

nlexa [21]

Answer:

The standard equation of the parabola is:

$y=-\frac{3}{2}x^2+12x-18$

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2$

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

$y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}$

Then the equation of the parabola becomes:

$y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18$

7 0

3 years ago