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lord [1]
4 years ago
13

Please help! Super confused lol

Mathematics
2 answers:
Molodets [167]4 years ago
8 0
The length of OX would be 6.5 units.

If you look at the angle, it is bisected equally - meaning the ray separating it is a bisector. (The two triangles are similar by angle-angle similarity.) Since the line is a bisector, you simply divide 13 by 2 to get 6.5.

grigory [225]4 years ago
4 0

OX = 6.5

13=DX,

OX = 0.5*DX

13*0.5=6.5

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Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tab
natta225 [31]

Answer:

  (a) at t=2, the particle is moving toward the origin

  (b) a(t) = 70(8 -9t^2)/(3t^2 +8)^3; a(2) = -0.245

  (c) the particle approaches x = 1/3 as t gets large

Step-by-step explanation:

(a) The function x(t) is negative for -3 < t < 3, so at t = 2, the particle is to the left of the origin.

The velocity of the particle is given by the derivative of the position function:

  x'(t)=\dfrac{(3t^2+8)(2t)-(t^2-9)(6t)}{(3t^2+8)^2}=\dfrac{70t}{(3t^2+8)^2}

Then, at t=2, the expression is positive, indicating the particle is moving toward the origin.

__

(b) The acceleration is the derivative of the velocity, so is ...

  a(t)=\dfrac{70(3t^2+8)^2-(70t)(12t)(3t^2+8)}{(3t^2+8)^4}=\dfrac{70(3t^2+8-12t^2)}{(3t^2+8)^3}\\\\\boxed{a(t)=\dfrac{70(8-9t^2)}{(3t^2+8)^3}}

Then at t=2, the acceleration is ...

  a(2) = 70(8 -9·4)/(3·4+8)^3 = 70(-28)/8000

  a(2) = -0.245

__

(c) As t gets large, the value of x(t) approaches t^2/(3t^2) = 1/3.

7 0
4 years ago
If f(x)=2-x^1/2 and g(x)+x^2-9, what is the domain of g(x)/f(x)?
Dominik [7]
As far a domain, you only care about the denominator and radicals.

f(x) = 2 - √x is the denominator, so it can't be 0. 
Also x is under a radical, so x can't be negative.
Set the denominator equal to 0 to find the excluded values.

2 - √x = 0
-√x = -2
√x = 2
x = 4, so 4 is an excluded value

The domain is all real numbers greater than or equal to 0, except 4.
[0, 4) U (4, ∞)
0 ≤ x < 4 U x > 4
6 0
3 years ago
Can i get help on this?​
Papessa [141]

Answer:

ASK you teacher very confusing

6 0
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Answer:

acute

Step-by-step explanation:

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