Answer:
Direct proportional graphs <u>do not</u> need to start from the origin.
Step-by-step explanation:
Direct proportional graphs do not need to start from the origin. However, <u><em>all </em></u>direct proportional graphs <u>must</u><u> </u><u>go through</u> the origin.
Regardless of the value of the <u>constant of proportionality</u>, <em>k</em>, the graph of the lines all go through the point of origin, (0, 0).
As a proof, the attached screenshot shows the graph of three equations of direct variations. The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all <u>go through the point of origin.</u>
V=1/3 x 3.14 x r^2 x H
v=1/3 x 3.14 x 2.5^2 x H
v=1/3 x 3.14 x 6.25 x H
v=1/3 x 19.625 x H
1 x 19.625= 19.625 x 58.875 divide 58.875 by 3 = 19.625
1 3
19.625 = Height
Answer:
x+5/30 = 16/20
20x+100=480
20x=380
x=19
Step-by-step explanation:
x+5/30 = 16/20
20x+100=480
20x=380
x=19
Let x = greater number
y = smaller number
(1)

(1)

(2)

We'll substitute y in (1) to (2)
(2)

x - 9 = 0 or x + 3 = 0
x = 9 x = -3
and
y = x - 6 y = x - 6
y = 9 - 6 y = -3 - 6
y = 3 y = -9
Therefore, the two numbers can be 9 and 3 or -3 and -9.
Answer 3,5,7
Step-by-step explanation: