For this case we must find a linear equation of the form:

Where,
m: slope of the line
b: cutting point with vertical axis.
For the slope we have the following equation:

Substituting values we have:

We observe that the slope of the line is not defined.
Therefore, the line is vertical.
Thus, the equation of the line is given by:

Answer:
The equation of the line is given by:

Think of the 13-ft length of the ladder as the hypotenuse of a right triangle. Represent the horiz. distance from foot of ladder to base of tree by x, or 5 ft.
Represent the vert. dist. from base of tree to top of ladder by y, which is unknown.
Then (13 ft)^2 = (5 ft)^2 + y^2, or
169 ft^2 = 25 ft^2 + y^2. This simplifies to y^2 = 144. Thus y = + 12 feeet.
Note: Please pay attention to your spelling: "lader i up agenst a tree" should be "the top of a 13-ft ladder is placed against a tree."
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➷ Work out the cost per gram
60/125 = 0.48
It costs 0.48 cents per gram
Multiply this by 100 to get the answer:
0.48 x 100 = 48
It would cost 48 cents
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Slope = (y2-y1)/(x2 - x1)
Slope = (9 - 6)/(-3- (-9)) = 3/6 = 1/2
Answer: 1/2
Answer:
0.667 feet
Step-by-step explanation:
To get the total distance travelled, we would integrate the velocity v(t) equation with respect to time t.
Given that the particle moves from t = 0 to t = 2 seconds
Integrating v(t) = t2 - 1
we get
= t^3/3 - t
substituting the boundaries from t = 0 to t = 2 seconds, we get
= 2^3/3 - 2 - (0^3/3 - 0)
= 8/3 - 2 - 0
= 0.667 feet