Answer:
Step-by-step explanation:
Triangle P is mapped onto Q so P is the initial triangle that will transformed.
We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .
We see that the point (5, 1) ends up at ( -2, 4) so the center of rotation is lower than the origin.
The transformation is rotation of 90° about the point (0,-1)
Answer: 35
Step-by-step explanation:
Angle ACD = 70
Angle BCD = 70/2 = 35
Answer:
or 
Step-by-step explanation:
The volume of a cylinder is calculated by the following formula

Where r is the radius of the cylinder and h is the height
In this case we know that the radius r of the base is:

and

So the Volume is:



Answer:
B) y = x + 2 and y = -x - 4
Step-by-step explanation:
Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

The line with positive slope has x-intercept a=-2 and y-intercept b=2.
Its equation is:

Multiply through by 2

Solve for y,

For the line with a negative slope,
the x-intercept is a=-4 and the y-intercept is b=-4
Its equation is

Multiply through by -4

Solve for y

Given:
x and y are both differentiable functions of t.


To find:
The value of
.
Solution:
We have,
...(i)
At x=-1,




Divide both sides by 3.

Taking cube root on both sides.

So, y=2 at x=-1.
Differentiate (i) with respect to t.

Putting x=-1, y=2 and
, we get



Divide both sides by -8.


Therefore, the value of
is 36.