Answer:
a = 4
Step-by-step explanation:
Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5. Then, distribute 3 into a - 5 to get 3a - 15 when expanded. Combine the two like terms 2a and 3a to get 5a. Then, add 15 on both sides to get to this equation which is 5a = 20. Divide 5 on both sides to get your a-value which is 4.
Answer:
=3/4
Step-by-step explanation:
3 (c+d) 2c-2d
-------------- * -------------
(c-d) 8c+8d
Factor the right had term. The numerator can factor out a 2 and the denominator can factor out an 8.
3 (c+d) 2(c-d)
-------------- * -------------
(c-d) 8(c+d)
We can cancel the (c+d) in the numerator the left and the denominator on the right. We can cancel the (c-d) in the numerator on the right and the denominator on the left
3 2
-------------- * -------------
1 8
We can divide the fraction on the right by 2 on the top and bottom.
3 1
-------------- * -------------
1 4
=3/4
To find the angle x, you are given the triangle side lengths that are opposite and adjacent to the angle. The opposite side is 49 units long. The adjacent side is 24 units long. The trigonometric function that corresponds to the opposite and adjacent legs is tangent.
to find x: 
to find an angle using a trigonometric function we must use the inverse function.
The angle x, to the nearest tenth of a degree is 63.9 degrees.
As the comments state, the velocity is the derivative of the position.
Therefore, the velocity as function of time is:
ds / dt = 24 + 6t - 3t^2.
That is a parabola whose maximum is (1,27). With that you know that the velocity will never be either 63 m/s or 81 m/s.
Also, you know that the velocity at t = 1 s is 27 m/s.
And, you can also find that the velocity at t = 3 is 15 m/s.
I am confident on that this analysis solves your question. Else, insert a comment.
Answer:
8
Step-by-step explanation:
3 - -5 = 8
filling space here dont mind this
