Answer:
5^5
Step-by-step explanation:
when multiplying two expression like this you should add up their powers
in this case it's 2 + 3
1/3x - 8 = y <== ur equation
Distance between two points, d, is given by

where: (x1, y1) = (2, 2) and (x2, y2) = (5, 5)
Answer:
.
Step-by-step explanation:
Dilate a point
by a scale factor of
with
as the center, and the resultant point would be at
.
In this question:
Point to dilate:
.
Scale factor:
.
Center of dilation:
.
The resultant point would be:
, which simplifies to
.
Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)