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
First draw an x-y plane and plot the coordinates (−3, 4), (−4, 7), and (−2, 7) for the first triangle. Then, plot the coordinates <span>(−4, −3), (−7, −4), and (−7, −2) for the second triangle. Examine the graph and then identify if it is congruent or not and measure it's rotation.
The answer is C. Yes, the transformation is a 270 degree clockwise rotation. </span>
Answer:
36 divided by 6 is 6
Step-by-step explanation:
idk if im right i j wokeup lol
First, you would need to create an equation for this problem. Let x represent the unknown tax.
=
Next, you would cross multiply.
100x = 52.5
Now, all you would have to do is isolate the x. To do this, you would divide both sides by 100.
x = $0.525I hope this helps!
Answer:
-45/10 - -0.005 - 3/1000 - 0.34
Step-by-step explanation:
-45/10 - -0.005 - 3/1000 - 0.34
