You'll actually need to graph for the first segment
but the second part can be solved with algebra
The equation of the line is y(x)=-x
if we test the co0ordinates we can find if the point lies on the line
(5,5)
y(x)=-x
Using the x co-ordinate
y(5)= -5
y=-5
Leaving us with (5,-5)
Because (5,-5) is not (5,5)
This is not a point on the line
The slope of the line is -1
The change of displacement with respect to time is defined as speed. Velocity is a vector quantity. The instantaneous velocity at t = 2 is -12.
<h3>What is velocity?</h3>
The change of displacement with respect to time is defined as Velocity. velocity is a vector quantity. It is a time-based component. Its standard unit is m/sec.
Given that the position of an object at time t is given by s(t) = 1 - 12t. Therefore, the velocity of the object can be written as,
V = ds/dt
= d(1 - 12t)/dt
= -12
s'(t) = -12
Now, the instantaneous velocity at t=2 is,
s'(2) = -12
Hence, the instantaneous velocity at t = 2 is -12.
To learn more about Velocity:
brainly.com/question/862972
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Filling in the given values in point-slope equation
y = m(x -x₁) +y1
you have
y = 1(x -5) +3
This simplifies to ...
A. y = x - 2
Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
Answer:
b. average total cost = total cost/quantity of output
Step-by-step explanation:
The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:
- <em>Marginal cost = change in total cost/ change in quantity</em>
The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:
- <u><em>Average total cost = total cost / quantity of output</em></u>
The total cost is obtained adding together the fixed costs and the variable costs, its formula is:
- <em>Total cost = fixed cost + variable cost</em>
The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:
- <em>Average variable = variable cost / quantity of output</em>
I hope you find this information useful and interesting! Good luck!
