Slope can be found but putting the equation in slope intercept form (y=mx+b)
6y=3x-12
y= 0.5x-2
M is your slope, b is the y intercept.
So the slope is 1/2, yintercept is (0,-2)
Hope this helps
If I’m using substitution the answer is A
Answer:
a = 10
b = 6.633
Step-by-step explanation:
x²+ y²= 125.
In this equation, the value of x and y represent the coordinates of x and y respectively of point on which the circle passes.
<u>(a,5)</u>
x²+ y²= 125
a² + 5² = 125
a² + 25 = 125
a² = 125-25
a² = 100
a = √100 = 10
(9,b)
x²+ y²= 125
9² + b² = 125
b² 125 - 81
b² = 44
b = √44 = 6.633
Answer:
1. b
2. I'm not sure about this one
Step-by-step explanation:
Let the equation be:
y = ax^2 + bx + c.
Then, substitue the three points into the equation.
First point: 0 = a0^2 + b0 + c.
So c = 0.
Second point: -2 = a(-1)^2 + b(-1) + c.
So a - b + c = -2.
Third point: 6 = a*1^2 + b*1 + c.
So a + b + c = 6.
We know that c=0 already, so we substitute c=0 into the last two equations and we would get:
a - b = -2
a + b = 6
We add the two equations and we get:
2a = 4
a = 2
Then, we substitute a=2 into a-b=-2 and we get:
-b = -4
b = 4
Now we know a = 2, b = 4, and c = 0
Then, the equation of the parabola would be:
2x^2 + 4x