The area of the entire circle is pi*(7)^2, or 49pi.
Due to the 90 degree angle, the area of the larger blue sector is
90
------- * 49 pi = 49/4 units^2
360
The area of the smaller blue sector is
48
------- 49 pi = (2/15)(49 pi) = 98 pi/15 units^2
360
The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):
59 units^2
1) 12 cookies per hour
2) train travels 80 miles per hour
Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = ![\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%3D%5Cfrac%7B7-6%7D%7B3-0%7D%3D%5Cfrac%7B1%7D%7B3%7D)
slope of red line = ![\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%3D%5Cfrac%7B-3-%28-4%29%7D%7B3-0%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
1) Slope tell about the steepness of the line.
To find slope we look at the rise and run between 2 points.
attached the graph of line with slope
slope = ![\frac{change in y values ( rise)}{change in x value (run)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bchange%20in%20y%20values%20%28%20rise%29%7D%7Bchange%20in%20x%20value%20%28run%29%7D%20%20)
= ![\frac{2}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B1%7D%20%20)
So slope = 2
2) we have x and y intercepts
x intercept is the point where the line crosses x axis
x intercept at x= 3
y intercept is the point where the line crosses y axis
y intercept at y= 6
3) Linear equation is y= 3x+2
function is f(x) = 3x+2
We can graph it using slope and y intercept
In f(x)= 3x + 2 , slope =3 and y intercept = 2
slope = 3, rise = 3 and run =1
The graph of f(x)= 3x+2 is attached below.
total that play football = 40
30 of them play basket ball
the missing number is 40 - 30 = 10