Answer:
Step-by-step explanation:
We know that the line has a slope of 2 and it passes through the point (3, -4).
So, we can use the point-slope form:
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:
Solve for y. Distribute the right:
Subtract 4 from both sides. Therefore, our equation is:
Answer:
a) 9000 ft-lb
b) 9000 ft-lb
Step-by-step explanation:
Equation for the work:
The equation for the work done is given by:
In which F is the force needed and d is the distance. The time does not interfere on the work.
A 300-lb gorilla climbs a tree to a height of 30 ft
This means that
Thus
The work done in both cases is of 9000 ft-lb, as the work is not a function of time.
A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
