A) -2
a slope of a line perpendicular is it’s opposite and reciprocal.
Therefore you want to find the slope. You can do this by writing it in intercept form, or just knowing A/B since it’s in standard form.
slope form: y= mx + b
8y = -4 -4x
y = -1/2x -1/2
So the slope is -1/2 so it’s opposite and reciprocal would be 2. So a slope of a line perpendicular is -2.
b) -1/2
A line parallel would have the same slope as your equation. Since you know the slope -1/2 you know whatever your b value is, that line would be parallel as long as it has the same slope.
Answer: y = 5x + 12
Step-by-step explanation:
y = mx + b, where m is the slope, and b is the y- intercept, then we plug in:
y = 5x + 12
Answer:
a. Earnings of Enguun for 12 hours this month (G)
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month (G)
G = 331.5 dollars
Step-by-step explanation:
Nomenclature
G: Total earnings of Enguun in dollars
E: Enguun's earnings for 1 hour of tutoring (dollars/hour)
n: number of hours that Enguun tutored per month (hour/month)
Formula
G = E*n
E = $17 per hour = 17 dollars/hour
Problem development
a. Earnings of Enguun for 12 hours this month
n = 12 hours
G = E*n
: We eliminate hours
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month
G = E*n
G = 17 * 19.5
G = 331.5 dollars
Answer:
6/10
Step-by-step explanation:
all can be reduced to 2/5, except 6/10:
2/5
8/20=2/5 (divide out 4)
12/30=2/5 (divide out 6)
but not
6/10 = 3/5!
