Answer: c is perpendicular to y = -5x - 2
Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)
You can take a look at my notes for further clarification. Hope this helps!
Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign.
x + y = 1
2y = x - 4
The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1).
Substitute 3 to x and determine the value of y from the second inequality.
2y ≥ x - 4
Substituting,
2y ≥ 3 - 4, y ≥ -1/2
Hence, the solution to this item should be the fourth one.
Answer:
108 inches^2
Step-by-step explanation:
Multiple each side by 1.5
8x1.5=12
6x1.5=9
then to find the area, multiply the sides together.
Answer:
113.1
Step-by-step explanation:
Volume of sphere =
× π × r²
Volume of sphere =
× π × 3²
Volume of sphere =
× π × 9
Volume of sphere =
× 9 π
Volume of sphere = 113.1
The average of p, q, and r is 40. The average of a, b, c, and d is 5. What is the average of a, b, c, d, p, q, and r?
Pachacha [2.7K]
Answer:
20
Step-by-step explanation:
Average = sum of numbers divided by number of numbers
sum of p q and r: 40*3=120
sum of a b c and d: 5*4=20
sum of a b c d p q r: 120+20=140
average of a b c d p q r: 140/7, or 20