The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
Mean is 18
Step-by-step explanation:
We would set up the proportion as X/9=36/X so after we cross multiply we get x^2=324. Then we find the square root of both sides to simplify. ... And the square root of 324 is 18. So the final answer is x=18 or the geometric mean is 18
Answer:
it might be -40.0
Step-by-step explanation:
i did the worl
Answer:
to me the answer will be 5 raised to power 2
Answer:
C. Directrix and Focus
Step-by-step explanation:
Given choices are :
A. Locus and Directrix
B. Axis and vertex
C. Directrix and Focus or
D. Vertex and Locus
Now we need to find about which of the above choices are the exact same distance from a parabola.
By definition of parabola, vertex lies at equal distance from directrix and focus.
Hence choice C. Directrix and Focus is correct.
