Using symmetry concepts, it is found that there is a line of symmetry at x = 50, option D.
- A line symmetry is an imaginary line that runs through a graph, dividing it into two equal parts.
- A point symmetry is when every point is equidistant to the line of symmetry, but in opposite directions.
- In this problem, the values of x range from 0 to 100, being divided(definition changed) at 50, thus, there is a line of symmetry at x = 50, and option D is the correct one.
A similar problem is given at brainly.com/question/16679081
Answer: y = 3x - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c = intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = -1/3x + 2
Comparing with the slope intercept form, slope = - 1/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through
(2, 1) is 3/1 = 3
To determine the intercept, we would substitute m = 3, x = 2 and y = 1 into y = mx + c. It becomes
1 = 3 × 2 + c = 6 + c
c = 1 - 6 = - 5
The equation becomes
y = 3x - 5
Answer:
51
Step-by-step explanation:
Answer:
-11 boys -6 girls
Step-by-step explanation: