Step-by-step explanation:
as we have a point and the slope, we can start with the point-slope form and then transform.
the point-slope form is
y - y1 = a(x - x1)
(x1, y1) being a point on the line, a being the slope.
the slope-interceot form is
y = ax + b
a being the slope again, b being the y-intercept (the y value for x = 0).
so, we have
y - -5 = 5/2 × (x - -4)
y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10
y = 5x/2 + 5
or
y = (5/2)x + 5
and this is already the slope-intercept form. all done.
Answer: (sqrt(6),0)
Step-by-step explanation:
By substituting all of the choices into the equation, we get that the 2nd answer from top is the only answer
<h3>
Answer: A and B (first answer choice)</h3>
Explanation:
Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.
Choice C is ruled out because cones aren't considered pyramids.
Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.
Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given
Required
The work done
First, we calculate the spring constant (k)
So:
The work done using Hooke's law is:
This gives:
Rewrite as:
Integrate
This gives:
Convert to Nm
Answer:
i) Because so that we can understand them steps by step
ii)We could enjoy when we study in school
