Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
Answer:
Eudora spent 0.5 hours from home to library and 1.5 hours from library to school
Step-by-step explanation:
Given
Home to Library:
-- Average Speed
Library to School
-- Average Speed
Total
Required
Determine the time taken from home to library and from library to school
Let the time spent from home to library be x. So, from library to school will be: 2 - x
So, we have:
Home to Library:
-- Average Speed
-- Time
Library to School
-- Average Speed
-- Time
Distance is calculated as:
Home to Library:
Library to School:
The total distance is 120km. So, we have:
Collect Like Terms
Solve for x
Recall that:
So, we have:
Answer:
The type of lamp is a confounding variable.
Step-by-step explanation:
to test the average life of the bulbs the same lamps should be used
Answer:
48
Step-by-step explanation:
Area of Parallelogram = base x altitude
altitude = 8
base = 6
8 x 6 = 48
