X=-9
There is no slope in either equation. Therefore, x=-11 and x=-9 will be two vertical and parallel lines at (-11,0) and (-9,0)
Answer:
5
Step-by-step explanation:
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Answer:
15 + 2.05 x = 2.35 x
Step-by-step explanation:
Let x be the number of gallons you would have to buy for the two places to be the same.
At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.
We can write an expression: 15 + 2.05 x
At the gas station, they charge $2.35 per gallon with no other fees.
We can also write an expression: 2.35 x
For the prices to be the same, we have 15 + 2.05 x = 2.35 x
If we were to solve, then we have:
(2.35 - 2.05) x = 15
x = 15 / 0.3 = 50 gallons