Given:
The system of equations is
To find:
The solution of the given system of equations.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
We have,
...(i)
...(ii)
Rewritten the given equation in slope intercept forms.
In equation (i), divide both sides by 3.
Slope of this line is and y-intercept is 2.
In equation (ii), multiply both sides by 2 and isolate y variable.
Slope of this line is and y-intercept is 6.
Since slopes of both lines are same but the y-intercepts are different, therefore, the lines are parallel and the system of equations have no solution.
Therefore, the correct option is c.
Answer:
Step-by-step explanation:
C=2πr
C=2×π×(1.5)
C=3π
But=22/7
Therefore C=3×22/7
C=9.43
4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle. does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3. So our numerator is 1/2 and our denominator is sqrt(3)/2.
And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
I hoped that made sense.
(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2? According to the unit circle, 150 degrees and 210 degrees does. They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.
5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
But to be sure let's change 5 radian to degrees:
5 * 180/pi = 900/pi = 286.48 degrees
286.48 degrees is definitely in Q4, so we are correct.
Answer:
See below ~
Step-by-step explanation:
<h3>What number represents the slope?</h3>
The slope refers to the rate of change of the equation.
Here, the slope is 1473 as that is the value that is multiplied on increasing the number of classes.
It represents the price per class.
<h3>What number represents the y-intercept?</h3>
The y-intercept refers to where the line intersects the y-axis.
Here, the y-intercept is 5495.
It represents the one time fee for room and board.