If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives
dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt
(a) If dx/dt = 9 and x = 4, then
dy/dt = 1/√(2•4 + 1) • 9
dy/dt = 1/√(8 + 1) • 9
dy/dt = 1/√9 • 9
dy/dt = 9/3
dy/dt = 3
(b) If dy/dt = 3 and x = 40, then
3 = 1/√(2•40 + 1) • dx/dt
3 = 1/√(80 + 1) • dx/dt
3 = 1/√81 • dx/dt
3 = 1/9 • dx/dt
dx/dt = 27
Answer:
The answer is Triangle C
Step-by-step explanation:
Answer:
here are four main types of transformations: translation, rotation, reflection and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage
Step-by-step explanation:
pls make me brainiest
We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]
[area of rectangle]=b*h
where
b=the base
h=the height
[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²
[area of a circle]=pi*r²
where
r=the radius
r=4.1/2-------> 2.05 cm
the figure is a half circle
then
[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²
[the area of composite figure]=35.26+6.60--------> 41.86 cm²
the answer is
41.86 cm²
C. 2-2-2-3-3 because they are all prime numbers. If you have another problem like this just use the prime number tree. Hope this helps
