Answer:
y = -3/5x + c
Step-by-step explanation:
Re-arrange the initial equation so that the it becomes y =
To do this, you +3y on both sides to get 5x = 3y + 12
And then -12 on both sides to get 5x - 12 = 3y
Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4
The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5
Therefore your perpendicular line should be y = -3/5x + c
Because you didn't specify on what point they intersect, i can't find c for you.
Answer:
C & 78.21 or 8 as the missing number
Step-by-step explanation:
9.983+12.05=22.033
68.91+9.3=78.21
The answer would be 7. The two minus signs cancel each other out and turn into a plus sign.
Answer:
Step-by-step explanation:
y > (1/3)x + 4 has an infinite number of solutions. Draw a dashed line representing y = (1/3)x + 4 and then pick points at random on either side of this line. For example, pick (1, 6). Substitute 1 for x in y > (1/3)x + 4 and 6 for y. Is the resulting inequality true? Is 6 > (1/3)(1) + 4 true? YES. So we know that (1, 6) is a solution of y > (1/3)x + 4. Because (1, 6) lies ABOVE the line y = (1/3)x + 4, we can conclude that all points abovve this line are solutions.
Answer:
8138.88 cubic unit.
Step-by-step explanation:
Given that,
Radius, r = 12
Height, h = 18
We need to find the volume of the prop. The volume of a cylinder is given by the formula as follows :

So, the volume of the cylinder is 8138.88 cubic unit.