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4 years ago

A circle centered at (-2,3) and contains point (5,9) which represents the equation

1 answer:

8 0

The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.

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Which function has an inverse function?

daser333 [38]

Answer: Option B

Step-by-step explanation:

By definition, only those functions that are one to one have an inverse function.

A function is one by one if there are not two different input values, $x_1$ and $x_2$ , that have the same output value y

Note that the function $f(x)= \frac{|x+3|}{5}$ is not a one-to-one function

When x=2 $f(x)= \frac{|2+3|}{5}=1\ ,\ \ y=1$

When x=8 $f(x)= \frac{|-8+3|}{5}=1\ \ ,\ y=1$

Note that the function $f(x)= \frac{x^4}{7}+ 27$ is not a one-to-one function

When x=1 $f(x)= \frac{(1)^4}{7}+27\ ,\ \ y=\frac{190}{7}$

When x=-1 $f(x)= \frac{(-1)^4}{7}+27\ ,\ \ y=\frac{190}{7}$

Note that the function $f(x)= \frac{1}{x^2}$ is not a one-to-one function

When x=1 $f(x)= \frac{1}{(1)^2}\ ,\ \ y=1$

When x=-1 $f(x)= \frac{1}{(-1)^2}\ ,\ \ y=1$

Then the answer is the option B.

You can verify that The function $f (x) = x ^ 5-3$ is a one-to-one function and therefore its inverse is a function

5 0

3 years ago

Jim rented a truck for one day. There was

Allisa [31]

Make an equation
Y = 17.95 + 0.87x
Y = total cost, x = miles
153.67 = 17.95 + 0.87x
135.72 = 0.87x
x = 156 miles

7 0

3 years ago

Read 2 more answers

Simplify: (9x^5)(4x^4)<br><br> please show your work so i can see how to do this thank you <3

Alchen [17]

9x^5 • 4x^4
9•4= 36
X^5+4= x^9
Your answer is 36x^9

3 0

3 years ago

I need to find the area of the crater

expeople1 [14]

First you need to find the r, if C=2pieR, than 2.4=2pieR now you divide 2.4 by 2 so you got 1.2=pieR now you divide 1.2 by pie and obtained aproximately 0.38 miles, that is your R, now you do pie multiply by 0.38 exposant 2 and there you go, your answer is aproximately 0.45 miles2 :)

6 0

4 years ago

Use distributive property to simplify the expression: <br> 5/6 (x + 1/2 + 4)

Murrr4er [49]

5/6x+5/13+20/6
5/6x+30/78+260/78
5/6x+290/78
5/6x+145/39
i hope this helps and i didn't mess up....

7 0

3 years ago