Answer:
The area of the sector is 
Step-by-step explanation:
we know that
The area of a complete circle (16π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to 8π/5 radians
There are 4 vertices of a square to the right.
By using the given graph:
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
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How to use the graph to find the values of the function?</h3>
Suppose that we want to find the value of the graphed function when x = a.
- Then we first need to identify x = a in the horizontal axis.
- Then we move upwards (or downwards) until we meet the curve of the function.
- Now you can move horizontally towards the vertical axis, where you can read the y-value associated to the x-value.
Now we can do these steps for each of the wanted values.
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
If you want to learn more about how to read graphs:
brainly.com/question/4025726
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Answer:
The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.
Step-by-step explanation:
This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.
The third one because it passes the vertical line test
