Answer:
= −
8/5
Step-by-step explanation:
Distribute
3
(
2
+
3
)
=
1
(
+
1
)
6
+
9
=
1
(
+
1
)
Multiply by 1
6
+
9
=
1
(
+
1
)
6
+
9
=
+
1
Subtract
9
9
9
from both sides of the equation
6
+
9
=
+
1
6
+
9
−
9
=
+
1
−
9
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.
So say hmmm the point C is 3/5 of the way from A to B, that means the segment AC is at a ratio of 3, whilst the segment CB is at a ratio of 5, namely 3:5, and C cuts AB to a 3:5 ratio, namely is 3/5 of the way from A to B, check the picture below. Thus,
Answer:
The speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.
Step-by-step explanation:
Since a plane can fly 450 miles in the same time it takes a car to go 150 miles, if the car travels 100 mph slower than the plane, to find the speed (in mph) of the plane the following calculation must be performed:
450 to 150 is equal to 3: 1, that is, the plane travels three times the distance of the car.
Therefore, since 100/2 x 3 equals 150, the speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.
False it shows a translation across the x-axis