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:
Reflection
Step-by-step explanation:
This transformation maps the triangle on the other side of the quadrant.
The size of the triangle did not change
and it was not rotated, because its position did not change
therefore
it underwent
a reflection
Answer: -14
Step-by-step explanation:
The multiplicative inverse is the reciprocal of the number.
1/(-1/14) = -14
Answer:
y = 4x + 5
Step-by-step explanation:
y - y1 = m(x-x1)
y + 7 = 4 (x + 3)
y + 7 = 4x + 12
y + 7 - 7 = 4x + 12 - 7
y = 4x + 5