PLEASE I need help GeoMETRY
1 answer:
You might be interested in
Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:
Answer:
The point of division is (5 , 8)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (x , y) divides the line whose endpoints are
and at ratio
, then
and
* Lets solve the problem
- The directed line segment with endpoints A (3 , 2) and B (6 , 11)
- There is a point divides AB two-thirds from A to B
∵ The coordinates of the endpoints of the directed line segments
are A = (3 , 2) and B = (6 , 11)
∴ is (3 , 2)
∴ is (6 , 11)
∵ Point (x , y) divides AB two-thirds from A to B
- That means the distance from A to the point (x , y) is 2/3 from
the distance of the line AB, and the distance from the point (x , y)
to point B is 1/3 from the distance of the line AB
∴ = 2 : 1
∵
∴ The x-coordinate of the point of division is 5
∵
∴ The y-coordinate of the point of division is 8
∴ The point of division is (5 , 8)