Answer:

Step-by-step explanation:
Let's translate what you've written in words to an expression with mathematical symbols.

To solve this, you need to multiply both the numerator and denominator with the conjugate of the denominator.

Answer:
a) center: (-3, 2)
b) radius: √65
c) equation: (x +3)² +(y -2)² = 65
Step-by-step explanation:
a) The center (point A) is the midpoint of the diameter, so its coordinates are the average of the endpoint coordinates:
A = (P +Q)/2 = ((-10, -2) +(4, 6))/2
= (-10+4, -2+6)/2 = (-6, 4)/2
A = (-3, 2)
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b) The radius is the distance from the center to one end of the diameter. The distance formula can be used to find that.
r = √((x2 -x1)² +(y2 -y1)²) = √((4-(-3))² +(6 -2)²) = √(49+16)
r = √65
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c) The circle centered at (h, k) with radius r has formula ...
(x -h)² +(y -k)² = r²
So the formula for this circle is ...
(x +3)² +(y -2)² = 65
Answer:
-4
Step-by-step explanation:
- y = 3(x+5)²-4
- y= 3(x²+10x+25)-4
- y= 3x²+30x+75-4
- y= 3x²+30x+71
Derivate the function
solve the equation y'= 0
- y'= 6x+30
- 6x+30= 0
- 6x= -30
- x = -5
The extrme value of y is reached in -5
y = 3(-5+5)²-4= -4
I’m pretty sure it’s D??? But it also could be B I’m sorry :( trying to help as much as possible
The answer would be b - associate w it