Answer:
Is it A???
Step-by-step explanation:
Answer:
given that 
and that 
.
Step-by-step explanation:
The relation between the 
and the 
in this question is given by parametric equations (with 
as the parameter.)
Make use of the fact that:
.
Find 
and 
as follows:
![\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%26%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5Ba%5C%2C%20%28%5Ccos%28t%29%20%2B%20%5Csin%28t%29%29%5D%20%5C%5C%20%26%3D%20a%5C%2C%20%28-%5Csin%28t%29%20%2B%20%5Ccos%28t%29%29%20%5C%5C%20%26%3D%20a%5C%2C%20%28%5Ccos%28t%29%20-%20%5Csin%28t%29%29%5Cend%7Baligned%7D)
.
as long as and .
![\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Cfrac%7Bdy%7D%7Bdt%7D%20%26%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5Ba%5C%2C%20%28%5Csin%28t%29%20-%20%5Ccos%28t%29%29%5D%20%5C%5C%20%26%3D%20a%5C%2C%20%28%5Ccos%28t%29%20-%20%28-%5Csin%28t%29%29%29%20%5C%5C%20%26%3D%20a%5C%2C%20%28%5Ccos%28t%29%20%2B%20%5Csin%28t%29%29%5Cend%7Baligned%7D)
.
Calculate 
using the fact that 
. Assume that and :
.
Note the general equation of a circle is x^2 + y^2 = r^2, with centre (0, 0) and radius: r.
So, our equation of a circle is (x + 3)^2 + (y - 1)^2 = 100
Subtract 100 from both sides and plug in the points. If it equals to 0, then the points satisfy the equation of the circle (ie lies on the circle)
If given the equation, you need to take the number beside the x and y and change their signs to get your point:
x - 8 (Take the -8 and make it +8)
y + 2 (Take the +2 and make it -2)
Your point is (8, -2)
Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.
<h3>What is the line segment about?</h3>
in the question given,
AC = 3cm,
Therefore, AD and DC will be = 1.5cm segments each.
We are given C as the midpoint of segment DB.
So CB = 1.5cm.
The representation of the line segment is:
A-----------D------------C-------------B
1.5 1.5 1.5
Since AD, DC and CB are each 1.5cm segments. Then the equation will be:
= 1.5 + 1.5 + 1.5
= 4.5
Therefore, The length of the segment AB is 4.5cm.
See full question below
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.
Learn more about midpoint from
brainly.com/question/10100714
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