Same girl oh my god it won’t let me ask anymore questions. Not my fault my math teacher gave me 30 questions to ask
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:
171.2
Step-by-step explanation:
7% x 160 = 11.2
11.2 + 160 = 171.2
The given equation is

First we solve for y, and for that, we have to islolate y, that is

And it pass the vertical line test. So here y is a function of x .
So we can define the given equation as y as a function of x .
Theorem: If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.
In oyur case,

Solve this equation to find x:

Answer: 6, choice B.