Complete Question:
An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=13t^2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1=2 to t2=10. This rate is known as the average velocity, or speed.
The average velocity as t changes from 2 to 10 seconds is _______ feet/sec?
Answer:
Step-by-step explanation:
Given
Time Interval: (a,b)
Required
Determine the average rate of change (v)
This is calculated as thus:
Substitute values for b and a
Calculate d(10): Substitute 10 for t
Calculate d(2): Substitute 2 for t
The equation becomes
Hence, the average rate of change is 156ft/s
Answer:
(-1.85, -0.15)
Step-by-step explanation:
Here,
x1 = -5.1
x2 = 1.4
y1 = -2
y2 = 1.7
Now substituting the values we have in the equation, we get:-
The coordinates of the midpoint would be = (-1.85, -0.15)
whenever you see this kind of question you don't need to start doing all the expressions, but look at the first and last numbers of the answer, the ones that cannot be changed (have no x or y or have those that cannot be changed in this expression):
the answer can't be a or c because in the given expression we can find 3x²y² and that's the only number where we can find x²y², so it cannot be changed. (you'll have 3x²y² in the answer)
now let's look at the last digit, that doesn't have a x or a y:
in b and d we can find 2 different results so this can determine which answer is correct:
let's look back at the given expression: -7+4= -3
so the answer is b
y = -(1/2) sqrt(x + 3) Interchange the x and y
x = -(1/2) sqrt(y + 3) multiply through by - 2
-2x = sqrt(y + 3) Square both sides.
(-2x)^2 = (sqrt(y + 3))^2
4x^2 = y + 3 Subtract 3 from both sides.
y = 4x^2 - 3
The usual rule is to interchange the domain and range of the original equation with the inverse. The range of the original equation is 0 => y > -infinity.
If that is the case, then the domain of the inverse is 0<=x. The graph was revised and provided by Mathmate. It is the correct way to represent this function and it's inverse Including the fact that x<=0. That restriction is very important. The line is x = y and the graphs should reflect around that line.
Answer:
Option D
Step-by-step explanation:
Segment BD = Segment BD by reflexive property.
And that will also complete the congruence by AAS postulate.
