QUESTION 1
The given circle has equation:

We can rewrite to obtain;

This is equation is now in the form;

Where (h,k)=(0,0) is the center of the circle and
is the radius.
QUESTION 2
The center of the circle is at (1,1) and passes through the point (4,5).
The radius of this circle is given by;




units.
We substitute into the formula;



Expand if you wish;



Answer
(f ο g)(2)= 1/17 =0.058 and (f+g)(2)= 17.5
Step-by-step explanation:
f(x)=1/x ; f(2)=1/2
g(x)=4x+9 ; g(2)=4(2)+9
As,
1. (f ο g)(x)=f(g(x)) (Composite Function)
(f ο g)(2)=f(g(2))=f(4(2)+9)=f(8+9)=f(17)=1/17
=0.058 (in decimal)
2. (f+g)(x)= f(x)+g(x) (Sum of Functions)
(f+g)(2)=f(2)+g(2)=1/2 +(4(2)+9)=1/2+(8+9)=1/2+17 (taking L.C.M)
=[1+17(2)]/2=(1+34)/2=35/2
=17.5 (in decimal)
$15 more, than twice Friday's earnings
d is how much he earned on Friday
s is how much he earned on Saturday
2d + 15 = s
Answer:
Answer:
The y-intercept is -21. The x-intercept is -10.5 or
.
(0, -21) and (-10.5, 0)
Step-by-step explanation:
To find the y-intercept, you would plug in 0 for x.
y = -2x - 21
y = -2(0) - 21
y = 0 - 21
y = -21
The y-intercept is -21.
To find the x-intercept, you would plug in 0 for y.
y = -2x - 21
0 = -2x - 21
2x = -21
x = -21/2
x = -10.5 or 
The x-intercept is -10.5 or
.