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Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
Answer:
The values of x and y are 23.83 and 31.1.
Step-by-step explanation:
Given that,
Perpendicular = 20 units
Angle,
We need to find the values of x and y.
Using trigonometry,
To find y use Pythagoras theorem,
So, the values of x and y are 23.83 and 31.1.
Answer:
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets
Step-by-step explanation:
We will use the given statements to make a system of equations for the given scenario.
First of all we have to decide which variables to be used.
Let a be the number of adult tickets and
Let s be the number of student tickets
So according to the statement that the department sold 250 tickets in total, the equation will be:
This is equation one of the system of equations
According to the statement that cost of adult ticket is $5, total cost of adult tickets will be:
According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:
The total earning was $837.50 so the second equation will be:
Hence,
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets