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lions [1.4K]
3 years ago
7

If the center of a circle is at (3,-6) and the diameter is 10 units, what is the equation for the circle

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:(x-3)^2+(y+6)^2=25

Step-by-step explanation:

Center Of The circle is at (3,-6)

Diameter=10

Radius(r)=10/2

Radius(r)=5

a=3

b=-6

Equation of circle=(x-a)^2+(y-b)^2=r^2

Equation of circle=(x-3)^2+(y-(-6))^2=5^2

Equation of circle=(x-3)^2+(y+6)^2=25

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Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
Elden [556K]

Answer:

-6

Step-by-step explanation:

The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).

So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is

(f(-2)-f(-9))/(-2--9)

(f(-2)-f(-9))/(7)

Stop!

To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.

To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.

Continue!

(f(-2)-f(-9))/(7)

=(-5-37)/7

=(-42)/7

=-42/7

=-6

6 0
3 years ago
How to write y-6=-5/2 (x+4)
coldgirl [10]

Answer:

In point slope form, this is y = (-5/2)x + 2.  In standard form, it's (5/2)x + y = 2.

Step-by-step explanation:

y-6=-5/2 (x+4) has already been written in point-slope form.  The slope of the line is -5/2 and the point on the line is (-4,6).

In slope-intercept form:  add 6 to both sides of the original equation, obtaining y = 6 - (5/2)(x + 4), or y = 2 - (5/2)x, or y = (-5/2)x + 2


8 0
3 years ago
what is the area of a regular pentagon with sides of length 13 and an apothem of length 8.95, in square units
Assoli18 [71]
The area is 290.760680699535.
3 0
3 years ago
PLEASE HELP!!!
tatyana61 [14]

Answer: The equation is y= -2x -4

Step-by-step explanation:

The slope intercept form is like y=mx+b so we know the slope which is m but we just need to find the y intercept.

and we will use the given coordinates to find the y intercept by putting in the x and y coordinates into the formula y=mx + b

-6= -2(1) + b

-6= -2 + b

+2  +2

b= -4

5 0
3 years ago
Answer quickly, please. I need this. I will give brainliest to whoever answers first. You also get 25 points for this
sukhopar [10]
** DISCLAMIER** am not completely sure. Please do not use my answer unless you are very desperate.

since O,R correspond with A,N I think you half F on each side and add it to 11.2 so
10 divided by 2 = 5
7 is already half.
5 + 7 is 12
12 + 11.2 = 23.2

IF THIS IS WRONG TRY 17
reason for 17:
10 + 7 = 17
If you look at both lines they look the same length as A, N.
3 0
3 years ago
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