X intercept is when the function (y) = 0.
0 = 4 - (x+3)^2
(x+3)(x+3) = 4
x^2 + 6x + 9 = 4
x^2 + 6x + 5 = 0
To factor, we find what multiplies to 5 and adds to 6. In this case, it’s 5 and 1.
(x+5)(x+1) = 0
x values of the intercepts are -5 and -1.
The coordinates are (-5,0) and (-1,0).
They are not parallel because the slopes are different (slope of 4 and slope of 0.25)
Neither are they perpendicular. If they were then m1*m2 ( the product of their slopes) would be -1 ). The product of these slopes = 4*0.25 = 1)
So choice A is the correct one.
Answer:
Step-by-step explanation:
First find the midpoint of the segment from (2, -6) to (-4, -16)
((2 - 4)/2, (-6 - 16)/2)
(-2/2, -22/2)
(-1, -11) is the midpoint and is the center of the circle
Now find the distance between the 2 given points and divide by 2 to get the radius of the circle
d = 
= 
= 
= 
r = /2
= 136/4 = 34
Equation of circle with center at (-1, -11) and radius = 
is
In the figure, PA and PB are tangents from point P. <u>AB is a chord</u> of the circle.
