0
9x2 + 4y = 36
∴ 4y = 36 - 9x2
∴ y = 9 - 9x2/4
also:
∴ 9x2 = 36 - 4y
∴ x2 = 4 - 4y/9
∴ x = (4 - 4y/9)1/2
This equation represents a parabolic curve, so we know it will intercept the y-axis at one point, and the x-axis at either zero or two points. Let's start with the x-axis:
y = 9 - 9x2/4
Let y = 0:
∴ 0 = 9 - 9x2/4
∴ 0 = 36 - 9x2
∴ 9x2 = 36
∴ x2 = 4
∴ x = +/- 2
So the curve intercepts the x axis at the points -2, 0 and 2, 0
As for the y axis:
x = (4 - 4y/9)1/2
Let x = 0:
∴ 0 = (4 - 4y/9)1/2
∴ 0 = 4 - 4y/9
∴ 0 = 45 - 4y
∴ 4y = 45
∴ y = 45/4 = 11 1/4
So the curve intercepts the y axis at the point 0, 11.25
What else can I help you with?
What are the x intercepts of the ellipse with the equation 9x squared plus 4y squared equals 36?
x = ±2
The polynomial below is a perfect square trinomial of the form A2 - 2AB plus B2 9x2-18x plus 36?
TrUE
What is the y intercept of 2x plus 6y equals 36?
A line intercepts the y axis when x=0. If we put x=0 into the equation we get 2x0 + 6y = 36 6y = 36 y = 6 (dividing both sides by 6) Thus the line intercepts the y axis when x is 0 and y is 6. This is the point with the coordinates (0,6)
What does 36 plus 30 plus 36 plus 30 equals?
132
What is 36 plus 36 equals?
72
What does 36 plus 36 equals?
62
What is 36inches plus equals?
36 inches plus what?
How do you factor 9x squared plus 27x minus 36?
9x2 + 27x - 36 = 9(x2 + 3x - 4) = 9(x + 4)(x - 1)
Is 9X2-18X plus 36 a perfect square?
No 9xx-18x+36 9(xx-2x+4) xx-2x+4 (doesn't factor evenly)
What plus 9 equals 36?
27 + 9 = 36
What equals 18?
12
What are the x- and y-intercepts of the graph of 4x 3y equals 36?
I'll assume you mean the graph of 4x plus 3y = 36, since [4x*3y = 36] does not intersect either axis.If you only need to find the intercepts, and nothing else about the equation, then:the line intersects the x-axis when [y=0], so plug y=0 and solve for x:4*x + 3*0 = 36 --> 4*x = 36 --> x = 9, so it intercepts the x-axis at (9,0)for y-intercept, plug [x=0]: 4*0 + 3*y = 36 --> 3*y = 36 --> y = 12: at point (0,12)
