Find the volume of the regular pyramid
1 answer:
Answer:
V: 4
Step-by-step explanation:
the formula for the volume of a pyramid is so that would mean we multiply the base length by the width and after that we multiply it by the height of the pyramid and after that we multiply it by
or divide by 3 (you'll get the same end result). So now we apply that to the problem and we will multiply
, so we multiply 1 by 3 so we get 3 and then multiply 3 by 4 and we have 12. Now we have 12 but were not done yet, after that we multiply 12 by
and we have 4 which is the volume.
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Answer:
Step-by-step explanation:
This is a multiplication problem.
We want to multiply
We factor to get:
We now cancel out the common factors to get:
We now multiply the numerators and the denominators separately to get.
This simplifies to
Therefore the simplified expression is
<h2>Answer:</h2>
y = x + 3
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m =
m =
m =
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = into equation (ii) as follows;
y - 3 = (x - 0)
(iv) Solve for y from (iii)
y - 3 = x
y = x + 3 [This is the slope intercept form of the line]
Where the slope is and the intercept is 3
