Answer:
gradient = 
Step-by-step explanation:
calculate the gradient m using the gradient formula
m = 
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m =
=
=
= 
Answer:
shiii
Step-by-step explanation:
9514 1404 393
Answer:
(a) M = 0.25n +100
Step-by-step explanation:
The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).
The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...
slope = rise/run = 25/100 kg/CD = 0.25
Then the equation describing the points on the graph will be ...
M = 0.25n +100
Answer:
The probability that the counter was blue is 
Step-by-step explanation:
Number of black Counters = 5
Number of blue Counters = 4
Number of white Counters = 1
We need to write down the probability that the counter was blue.
First find Total Counters
Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters
Total Counters = 5+4+1
Total Counters = 10
Now, we need to find probability that the counter taken was blue
The formula used is:

There are 4 blue counters in the back, so Favourable outcomes = 4

The probability that the counter was blue is 
Answer:
D.
Step-by-step explanation:
Lines EG and CD are cut by transversal CF.
By construction, ∠FEG=∠FCD. These two angles are corresponding angles.
Since two corresponding angles are congruent, then lines EG and CD are parallel (by converse of the corresponding angles postulate).
Converse of the Corresponding Angles Postulate: If the corresponding angles formed by two lines and a transversal are congruent, then lines are parallel.