Suspecting that his parents are going to give him $1,300 continually you would solve like this
$120,000-$100= $19,900
$19,900/$1,300= 92.23
92.23 is the amount of $1,300 donations it would take from his parents, so if he was getting $1,300 month it would take 92.23 months
So really all you have to do is simply the expressions on top to match them.
Starting with (4t-8/5)-(3-4/3t), distribute the negative sign to the right portion in parentheses, then distribute it all out and you will get 16/3t- 23/5
Basically, use distribution to simplify, here's all the matches:
(4t-8/5)-(3-4/3t) --> 16/3t- 23/5
5(2t+1)+(-7t+28) --> 3t+33
(-9/2t+3)+(7/4t+33) --> -11/4t+36
3(3t-4)-(2t+10) --> 7t-22
1) Those are polar coordinates
2) The expression inside cosine is the angle of the vector to be drawn
3) r is the length of the vector to be drawn.
For example:
- if you take angle =0 and r results to be =2, it means that you have to put a point over the x-axis at a distance of two units from the origin.
4) You have to look for notable values, like points on the axis and notable angles (0, 45°, 90°, 180 °,...)
5) Use derivation to find maximum and minimum values.
6) The graph of this function looks like the infinite symbol: ∞
7) Some notable points are: (0,0) ; (0,2) ; (0, - 2)
See attached the complete graph as a reference.
Answer:
If Andrea plays eight games at the arcade and wins 20 tickets per game then 8 x 20= 160.
If Andrea plays nine games at the arcade and wins 20 tickets per game then 9×20 = 180.
A= 9 games
Step-by-step explanation:
Answer:
D = (-4, -4)
Step-by-step explanation:
Given;
midpoint of line CD = M(-3, -7)
coordinate of C = (-2, -10)
The coordinate of D is calculated as follows;
C(-2, -10)---------------------M(-3, -7)--------------------D
Therefore, the coordinate of D = (-4, -4)
