The circle is in A, so (-1, 4) coords
(x - xo)² + (y - yo)² = r²
(x - (-1))² + (y - 4)² = r²
(x + 1)² + (y - 4)² = r²
And the radius is the length of segment AC
distance of AC is
So r = 5
(x + 1)² + (y - 4)² = 5²
(x + 1)² + (y - 4)² = 25
So to find the answer, you'll have to substitute b for 6 and a for 1/4 as shown. Then, you will get 5(6)/32(1/4)^2.
Now, all you have to do is just calculate it, which you will get 15 as your final answer.
I hope this helps :)
Answer:
They are not similar
Step-by-step explanation:
To see whether the triangles are similar or not we can compare their side lengths:
AB = 24
AX = 6
AX/AB = 1/4 is the ratio now let's compare this to AY/AC
AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
I believe the answer is b
