Ax+by=c
a=1
b=1
slope= -a/b=-1
y=mx+b
y=-x+b
b=0
x+y=0
Step-by-step explanation:
Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).
\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}
ES
=(4;4)−(4;−3)=
(0;7)
\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}
EJ
=(−5;−4)−(4;−3)=
(−9;−1)
cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=
∣
EJ
∣∗∣
ES
∣
ES
∗
EJ
cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;
a = 96,34°
Solution: 96 degrees.
Answer:
1/2 or 50% probability
Step-by-step explanation:
There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:
AB where player A is the first player to score, we wouldn't have BA since player would not be the first here
Probability = number of favorable outcomes/total number of outcomes
Therefore probability of A being the first player = number of A/total number of players
=1/2 = 0.50
There is therefore a 50% chance of A being the first player
Answer:
Amount left = Rs 45
Step-by-step explanation:
Let the initial amount be x.
Translating the word problem into an algebraic expression, we have;
Cross-multiplying, we have;
Rearranging the equation (collecting like terms), we have;
x = Rs 60
Next, we find the amount left;
Amount left = 60 - 15
Amount left = Rs 45
Answer:
20%
Step-by-step explanation:
12=p×60/100=6p/10
p=120/6=20%
