Answer:
The perpendicular line would be y = -3x - 7
Step-by-step explanation:
To find the equation of the line, we first need to solve the original line for y.
-x + 3y = 9
3y = x + 9
y = 1/3x + 3
Now we know the slope of the original line to be 1/3. Since perpendicular lines have opposite and reciprocal slope, we know the new line to have a slope of -3. We can then use that along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -3(x + 3)
y - 2 = -3x - 9
y = -3x - 7
Answer:
Hannah needs 10 gallons of soda and 15 gallons of fruit drink
Step-by-step explanation:
Let
x -----> the number of gallons of soda needed
y ----> the number of gallons of fruit drink needed
we know that
-----> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (10,15)
see the attached figure
therefore
Hannah needs 10 gallons of soda and 15 gallons of fruit drink
The player has a total of 18 goals scored and 6 assists made.
<h3>
Equation</h3>
Equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of goals scored and y represent the number of assists. Since the combined goals and assist is 24, hence:
x + y = 24 (1)
Also:
2x + y = 42 (2)
From equation 1 and 2:
x = 18, y = 6
The player has a total of 18 goals scored and 6 assists made.
Find out more on Equation at: brainly.com/question/2972832
We can add in any order. So 5x+y is the same as y+5x
5x+y = 10
y+5x = 10
y+5x-5x = 10-5x ... subtract 5x from both sides
y+0x = -5x+10
y+0 = -5x+10
y = -5x+10
Answer: y = -5x+10
Note: this is in y=mx+b form where m = -5 is the slope and b = 10 is the y intercept
Answer:
10+8=8+5+5
Step-by-step explanation: