Answer:
y = 3/4 x - 5
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.
4x + 3y = -6
Solve for y.
3y = -4x - 6
y = -4/3 x - 2
The slope of the original line is -4/3.
The slope of the perpendicular is 3/4.
Now we need to find the equation of line with slope 3/4 that contains point (4, -2).
y = mx + b
-2 = (3/4)(4) + b
-2 = 3 + b
-5 = b
b = -5
The equation is
y = 3/4 x - 5
Answer:
1.6 gallons (so if you can only buy by the gallon, 2 gallons)
Step-by-step explanation:
You divide the total area by how much a gallon covers to get the number of gallons needed.
40/25=1.6
Consider the system of inequalities
1. Plot all lines that are determined by equalities (see attached diagram)
2. Determine which bounded part of the plane you should select:
- means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
- means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
- for you can check where the origin is placed. Since , the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
- for you can check where the origin is placed. Since , the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
Answer:
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