Answer:
x = -63
Step-by-step explanation:
If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.
The line passes B and C has the form of y = ax + b
=> -4 = a(-3) + b
-5 = a(7) + b
=> Subtraction 1st equation from 2nd equation, we have:
-1 = 10a
=> a = -1/10
=> b = -4 + 3(-1/0) = -43/10
=> This line has form of y = (-1/10)x -43/10
This line passes A(x, 2)
=> 2 = (-1/10)x - 43/10
=> 2 + 43/10 = (-1/10)x
=> 63/10 = (-1/10)x
=> x = -63
Hope this helps!
Answer:
(x+4)^2+(y+2)^2=5
or
(x-(-4))^2+(y-(-2))^2=5
Step-by-step explanation:
Format for an equation of a circle: (x-h)^2+(y-k)^2=r^2
Center: (1/2*(-6-2),1/2*(-3-1))=(-4,-2)
Radius: sqrt(20)/2 or sqrt(5)
So, it's
(x+4)^2+(y+2)^2=5
or
(x-(-4))^2+(y-(-2))^2=5
Answer: 3(9e+8)
Step-by-step explanation:
3(9e+8)
= 27e+24