Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle school's. How many students will Cristine find when she gets to high school? A) 900 B) 1100 C) 2200 D) 2500
Answers
900/45 = 20
so ratio of middle school students and teachers: 900:45 = 20:1
if high school student-teacher ratio as middle school then
x/110 = 20/1
so x = 110 * 20 = 2200
answer is C) 2200
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The slope of line c is 1
Step-by-step explanation:
The given information are;
The coordinates of the points on the line a are; (-3, 3) and (3, -3)
The coordinates of the points on the line b are; (-3, -2) and (2, 3)
Line c ║ line b
Line b ⊥ line a
Line c ⊥ line a
Therefore, we have
The slope, of line c is equal to the slope,
, of line b Definition of parallel lines (The slopes of parallel lines are equal)
=
Therefore, the slope, m, of the line b is given as follows;
Where, for line b, (x₁, y₁) = (-3, -2) and (x₂, y₂) = (2, 3), we have;
From =
= 1, the slope of line c = 1.
Since line b is perpendicular to line a, and line c is perpendicular to line a, the slope of line c is equal to 1.
How to determine the slope of a line?
In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided above, we can logically deduce the following;
- Line c parallel line b
- Line b is perpendicular line a.
- Line c is perpendicular line a.
Therefore, the slope of line "c" can be calculated as follows;
Slope (m) = (3 - (-2))/(2 - (-3))
Slope (m) = (3 + 2)/(2 + 3)
Slope (m) = 5/5
Slope (m) = 1
Read more on slope here: brainly.com/question/28143558
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