Please answer my question
1 answer:
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Answer:
B. y = 2x - 2
E.
F.
Step-by-step explanation:
The equation of the line can be found using either the point-slope equation or the slope-intercept equation.
✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):
Slope = m = change in y/change in x
Using (4, 6) and (-1, -4),
m = (-4 - 6)/(-1 - 4)
m = -10/-5
m = 2
Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form
Thus:
✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):
Slope = m = 2
Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form
Thus:
✔️Equation of the line in slope-intercept form, y = mx + b
Where,
m = slope = 2
b = y-intercept = -2 (the point where the line intercepts the y-axis)
Thus, substitute m = 2 and b = -2 into y = mx + b
y = 2x + (-2)
y = 2x - 2
Answer:
8 inches
Step-by-step explanation:
Given: Dimension of rectangular container=
Water is filled up to a level 2 inches from the top.
As given that container is sitting on its largest face, then it is standing on
Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.
∴ Height of water inside the container=
Now, finding the volume of water inside.
we know, Volume=
Volume=
Next, if container is placed in its smallest face then it is standing on and lets assume height to be "x"
Forming an equation now to express the volume conservation law.
⇒
⇒
dividing both side by 60
⇒
∴ x= 8 inches
Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face