Answer:
<em>(-6, 0) and (0, 1.5)</em>
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Step-by-step explanation:
The equation of the line in pint slope form is expressed as;
y-y0= m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given
m = 1/4
(x0, y0) = (6,3)
Substitute into the formula;
y - 3 = 1/4(x-6)
4(y-3) = x - 6
4y - 12 = x-6
4y - x = -6+12
4y - x = 6
x = 4y - 6
To get the points to plot, we will find the x and y-intercept of the resulting expression.
For the x-intercept,
at y = 0
x = 4(0) - 6
x = -6
Hence the x-intercept is at (-6, 0)
For the y-intercept,
at x = 0
0 = 4y - 6
4y = 6
y = 6/4
y = 3/2
y = 1.5
Hence the y-intercept is at (0, 1.5)
<em>Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)</em>
<em></em>
Answer:
Step-by-step explanation:
v = 45 * 12
v = 540cm³
To fill the tank,
v = 45 * 25
v = 1,125cm³
I'm not quite sure what the exact question is so i'll answer both;
1.) The volume of water required to fill the tank from empty = 1,125cm³
2.) The volume of water required to fill the tank from it's current level is
1,125cm³ - 540cm³ = 585cm³
Answer: -3z+8
Step-by-step explanation: add -4z and z because they are like terms and then leave the 8 alone because it’s a term.
Answer:
first: 1/3
second: 1
third: 1/2
Step-by-step explanation:
Answer:
12762.72 cubic meters
Step-by-step explanation:
The volume of a cylinder is denoted by the formula: 
, where r is the radius and h is the height.
Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.
Now substitute these values into the equation:
cubic meters
Hope this helps!
