Answer:
A. y =
- 1
Step-by-step explanation:
Given parameters:
Equation of the line:
5x + 2y = 12
Coordinates = -2, 4
Unknown:
The equation of the line parallel to this line = ?
- To solve this problem, first, we need to find the slope of the given line.
Every linear equation have the formula: y = mx + c
m is the slope of the line, c is the y- intercept
5x + 2y = 12
Express this equation as y = mx + c
2y = -5x + 12
y =
+ 6
The slope of this line is 
- Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.
Slope of the line parallel is 
- Our new line will also take the form y=mx + c,
Coordinates = -2, 4, x = -2 and y = 4
m is 
Now let us solve for C, the y-intercept;
4 = - 2 x
+ C
4 = 5 + C
C = -1
The equation of the line is therefore;
y =
- 1
34.12 is besuse if you see the place value chart
Answer:
it is 2
Step-by-step explanation:
Let's assume m represent the mileage of the car.
Given that, Primo car rental agency charges $33 per day plus $0.20 per mile.
So, the total charge for this agency = 33 + 0.20m.
Similarly total charge of the ultimo car = 17 + 0.85m.
Now we need to find the daily mileage for which the ultimo charge is four times the primo charge . So, we can set up an equation as following:
17 + 0.85m = 4 *( 33 + 0.20m )
17 + 0.85m = 132 + 0.80m By distribution property.
17 + 0.85m -0.80m = 132 + 0.80m -0.80m Subtract 0.80m from each sides.
17 + 0.05m = 132
17 + 0.05m - 17 = 132 - 17 Subtract 17 from each sides.
0.05m = 115
Divide each by 0.05.
So, m = 2300
Hence, the daily mileage is 2300 miles.
Hope this helps you!