First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).
Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.
The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.
So the equation is: y = 4/3 x + 2
Answer:
3 hours every weekday
Step-by-step explanation:
20 - 5 is 15 so she must work 15 hours during the week since saturday and sunday are taken. 15 divided by 5 is 3 therefore, giving you three hours a day; Monday, Tuesday, Wednesday, Thursday, and Friday
Answer:
100 residents/km2
Step-by-step explanation:
5×4 = 20 2,000÷20 = 100