Given the points below, are the two lines parallel, perpendicular, or neither.
1 answer:
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Answer:
14.52% are unicyclists
Step-by-step explanation:
First, we can use proportions to find the number of unicyclists at the convention. Since we know that the ratio of unicyclists to aerial artists is 9:11, and there are 88 aerial artists, we can set up the following equation:
If we cross multiply, we get that 11x = (88)(9). After we divide through by 11 to isolate x, we get that x = (8)(9) = 72
Second, we have to figure out the number of mimes at the convention to figure out the total number of people there. We know that the ratio of unicyclists to mimes is 3:14, and the number of unicyclists is 72. So, we can set up the following proportion:
If we cross multiply, we get that 3y = 1008, or y = 336 mimes
The total number of people at the convention is 336 mimes + 72 unicyclists + 88 unicyclists = 496. Now we have to figure out what percent of 496 is 72 (the number of unicyclists). If we let z = the percentage, we can simply set up an equation that says that 72 is z% of 496:
This means that approximately 14.52% of the performers are unicyclists.
Answer:
Step-by-step explanation:
Line equation is given as y = mx + b
Where, m is the slope of the line, which is,
b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.
=>Find m and b to derive an equation for the line.
using the 2 coordinate pairs, (1, 5), (-1, -5),
Let, x2 = -1,
x1 = 1,
y2 = -5,
y1 = 5
From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.
Plug in the values of m and b in the line of equation.
y = mx + b
y = 5x + 0
y = 5x
Therefore, the equation of the line, in the graph above, written in slope-intercept form is: