y = - 4x + - 8 is equation of slope-intercept form.
What is in slope-intercept form?
- Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form.
- Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.
the equation of slope - intercept form
y = mx + c
( -1 , -4 ) is point shown in graph
slope = -y/x
= - ( -4)/-1 = 4/-1 = -4
- 4 = -4 * - 1 + c
- 4 = 4 + c
c = - 4 - 4 = - 8
put value of c in the equation of slope - intercept form
y = - 4x + - 8
Learn more about slope-intercept form
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To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.
To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.
Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.
Perimeter:
C= 3.14 x 20 m
C = 62.8 meters
62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter
Area:
A = 25 x 8
A = 200 square meters
A = 10 x 8
A = 80 square meters
A = 20 x 40
A = 800 square meters
A = 3.14 x 10^2
A = 314 square meters
Total Area: 314 + 800 + 80 + 200= 1394 square meters
In this situation, it is similar to a coin flip, so think about flipping a 2 sided chip, one side colored yellow the other blue, flipping the chip will result in a 50/50 chance for it to land on either side, so no matter how many times you flip it it will always be a 1/2 chance of it being on one of the sides
Step-by-step explanation:
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