Step-by-step answer:
The general form of an equation centered at O(0,0) is given by
x^2+y^2=r^2
where r is the radius, (x,y) is any point on the circumference.
If B(4,5) lies on the circumference, then we can find the radius of the circle by substitution:
4^2+5^2=r^2
=>
r^2 = 16+26 =41
Hence the equation of a circle centred at O(0,0) and B(4,5) on its circumference is
x^2 + y^2 = 41
Answer:
x+3, y-4
Step-by-step explanation:
You are moving the triangle 3 to the right, so x+3, an 4 down, so y-4.
The equation
a/4 = 2/3
do cross multiplication
8 = 3a
a = 8/3
Performing the expression.
= (a - 4) / 4
= (8/3 - 4) / 4
= (8-12 / 3)/4
= -4/3 / 4
= -1 / 3
So the answer is letter b.