We need to find m and b to find in the equation of a line:
y = mx + b
↑ <span>↑
slope y-intercept
To find m, the slope, we need to find the rise over the run of the line. You pick two points and use the y values finding the difference of them and do the same for the x values and put them on the bottom. Let's use the points (0, -2) and (4, 0):
</span>↑ ↑<span>
(x₁, y₁) (x₂, y₂)
m = (y</span>₂ - y₁)/(x₂ - x₁)
m = (-2 - 0)/(0 - 4)
m = (-2)/(-4)
m = 1/2
The slope is positive since the line is going upward from left to right.
Now we need b, the y intercept, where the line intersects with the y axis, simply by looking at the graph. b is -2.
Thus, the answer is C. y = 1/2x - 2.
Answer:
The number of people that attended the performance = 2,254
Amount collected at box office = $45,080
Step-by-step explanation:
For the theater to sell out a performance, it means it was filled to the brim( completely filled)
We have 7 sections, with 23 rows each
The total number of rows will be 23 * 7 = 161 rows
Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats
Secondly we want to know how much was collected at the box office given the average ticket price
The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080
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Answer:
All of the rugs are the same size after making the cuts. The vertical line goes down the center of the rectangle, making two congruent parts. The diagonal line also splits the rectangle into two congruent parts because the area of a right triangle is exactly half the area of the rectangle.
Step-by-step explanation:
