Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
I don't really like these algebra problems which pretend to be geometry.
The bisector makes two equal angles, so
x/2 + 17 = x - 33
50 = (1/2) x
x = 100
That means ABC = 100/2 + 17 = 67 degrees
CBD = 100 - 33 = 67 degrees, equal so that checks
We're asked for ABC which is 67 + 67 = 134 degrees
Answer: 134°
Answer:
200
Step-by-step explanation:
So its basically you multiply the length by the width which is 15 times 5 which is 75 then you multiply 75 times 4 which is 200 so the answer is 200.
Answer:
A third of 9 is 3.
Step-by-step explanation:
9 / 3 = 3.
3 * 3 = 9
Answer:
A
Step-by-step explanation:
If we insert the original coordinates into the problem, we will find the answer.
(2+2, 1-5)
so, once solved
(4, -4)
remember, adding to X means moving the point right, subtracting to X means moving left.
Adding to Y means moving the point up, subtracting to Y means moving down.
