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: h = 30.5
Step-by-step explanation
2h - 49 = 12
+49 +49
Add 49 to both sides. Inverse operation
2h = 61
2h/2 = 61/2
Divide 2 to both sides to get answer. Inverse operation
h = 30.5
Check:
2(30.5) - 49 = 12
61 - 49 = 12
12 = 12
Answer:
An expansion is characterized by increasing employment, economic growth, and upward pressure on prices.
Answer:
3 hours
Step-by-step explanation:
12.5/2.5 = 5
then convert it to negative