A) A thts what my teacher told me
Answer:
The Answer is: y = 1/3x - 2
Step-by-step explanation:
Giving points: (0, -2) and (6, 0).
First find the slope:
m = y - y1/(x - x1)
m = -2 - 0/0 - 6
m = -2/-6 = 1/3
Use the point slope form of the equation with point (0, -2) and solve for y:
y - y1 = m(x - x1)
y - (-2) = 1/3(x - 0)
y + 2 = 1/3x
y = 1/3x - 2
Hope this helps! Have an Awesome day!! :-)
Answer:
Step-by-step explanation:
Let's solve for x.
−3x+2y=−10
Step 1: Add -2y to both sides.
−3x+2y+−2y=−10+−2y
−3x=−2y−10
Step 2: Divide both sides by -3.
−3x
/−3
=
−2y−10
−3
x=
2
/3
y+
10
/3
Answer:
x=
2
/3
y+
10
/3
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
Answer:
20x^5
Step-by-step explanation:
You just multiply 5 by 4 and get 20 and when multiplying exponents you just add them together so you get 20x^5
