The equation of a circle is
(x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
(x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13
The standard equation of the circle is (x-2)² + (y-3)² = 13.
Answer:
y=3x-1
Step-by-step explanation:
Answer:
let the polynomial be
f(x)=x³+2kx+2
is divided by
g(x)=x+2
hence
(x+2) is a factor of f(x)
so comparing with x-a we get a=-2
so
f(a)=0
f(-2)=(-2)³+2*-2*k+2
0=-8-4K+2
4k=-6
K=-6/4
k=-3/2
again
when divided by x+1
g(x)=x+1
hence
x+1 is a factor
so a=-1
f(-1)=-(1)³+2*-1*k+2
0=-1-2k+2
0=1-2k
k=1/2
<u>T</u><u>h</u><u>e</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>k</u><u> </u><u>i</u><u>s</u><u> </u><u>1</u><u>/</u><u>2</u><u> </u><u>when</u><u> </u><u>divided</u><u> </u><u>by</u><u> </u><u>x</u><u>+</u><u>1</u>
<u>and</u>
<u>K</u><u> </u><u>=</u><u>-</u><u>3</u><u>/</u><u>2</u><u> </u><u>w</u><u>h</u><u>e</u><u>n</u><u> </u><u>d</u><u>i</u><u>v</u><u>i</u><u>d</u><u>e</u><u>d</u><u> </u><u>b</u><u>y</u><u> </u><u>x</u><u>+</u><u>2</u>
100 = 15.50p + 7
P is number of people Hernandez can take.