Answer:
(0,-2)
Step-by-step explanation:
First we find the equation of the line passes through
and
.
The slope of the line is

So by the point slope formula the equation of the line is

When
we have
.
Therefore the line joining the two points cuts the y-axis at (0,-2).
Answer:
38.13 ft squared
Step-by-step explanation:
Since it is half of a circle we first find the area of a normal circle then divide by two.
So to find the area of a circle it is pi times radius squared which in this case it would be 3.14 times 9 = 28.26
Then since it is a half circle we divide by two so
28.26/2 = 14.13
Then to find the area of the triangle we do 4 times 6 which is 24.
now we add the two which is 14.13 + 24 which is
38.13
(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where

then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,

(b) The velocity after 3 seconds is

(c) The particle is at rest when its velocity is zero:

(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:

In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,

By definition of absolute value, we have

In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as

and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to

Answer:
4/8 - 2/8 = 2/8 = 1/4
Step-by-step explanation:
She has to save $623.75 a month to get that amount of money!