Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
Answer:
72.5/8.9 = 8.15
33.2/1.2=27.67
74.3/7.9 = 9.41
35.5/3.2 = 11.09
28.1/3.7 = 7.59
Step-by-step explanation:
Answer:
150 units^2
Step-by-step explanation:
A cube has all equal sides. This one has five units for every side.
There are 6 faces here, and 4 vertices for every face.
The equation would look like this 6 x side^2.
Which would also equal to 6 x 5^2.
If you do this, you will find that the answer is 150 units^2.
Answer:
See explanation below
Step-by-step explanation:
The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change: - 3/5, which is in fact the slope of the line the three points belong to.
