Hello!
Given the two points,
and
, and to find the distance between these two points is found by using the formula:

is assigned to one the points, in this case, is (4, 1).
is assigned to other point, which is (9, 1).
Then, plug in these values into the formula and solve.




Therefore, the distance between the two points is 5.
Answer:
The correct answer for this question is this one:
If the x position of the vertex for f(x) is k then :
1. f(k) => 4x+3=k, x = (k-3)/4 = (k/4)-(3/4)
2. x = k+3
3. x = (k+1)/2 = (k/2)-(1/2)
4. x = 2(k+2) = 2k+4
5. x = k+7
6. x = k-3
7. x = k-2
So the order depends on the original position of the vertex k, e.g for k=0 the positions would be:
1. -3/4
2. 3
3. -1/2
4. 4
5. 7
6. -3
7. -2
So, therefore, the order would be 6 7 1 3 2 4 5
Answer:
4
Step-by-step explanation:
Answer:
A, B, E, and F
Step-by-step explanation:
sinx and cosx are defined for all values of x. So, sin⁻¹x and cos⁻¹x are also defined for all values of x.
A and E are correct.
tanx is defined for all values of x.
However, tan(nπ) = 0 at when n is an integer. So, tan⁻¹(±nx) is undefined. However, tan⁻¹(-½x) is defined, because -½ is not an integer.
B and F are correct.
C and D are <em>wrong</em>. Both sec⁻¹x and csc⁻¹x are undefined when -1 < x < 1, and -½ is in this forbidden region.
Okay so the formula for speed is speed = distance divided by time so 120 /4 is 30 for the first bar