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.
-4(2y)+11y=15
-8y+11y=15
3y=15
y=5
-4x+11(5)=15
-4x+55=15
-4x= -40
x=10
Answer:
Area for small square: 25 because 5x5 equals 25
Area for rectangle: 77 because 11x7 equals 77
Area for the irregular shape: 102 because you must add 25 and 77 together
Step-by-step explanation:
I'm sorry if I'm wrong. Have a nice day! <3 (I'm currently learning myself but I'm 100% sure I'm right)
Answer:
Step-by-step explanation:
y=4x+55
where x is price of one ticket.