The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve

The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,

From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
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1) <span>B)3x+6y=22
6x+12y=44
because the equations are equivalent to each other
2*(3x+6y=22) -----> 6x+12y=44
2) </span><span>5x+10y=15 should be multiplied by -2, to get 5x*(-2)=-10x, and x then can be eliminated
</span><span>A)-2</span>
Answer:
ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
Step-by-step explanation:
It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.
If a figure is dilated then preimage and image are similar.
If scale factor is between 0 to 1, then preimage is reduction of image.
If scale factor is more that 1, then preimage is enlargement of image.
If scale factor is 1, then preimage is congruent to the image.
We know that

So,

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
Answer:
y=25.5
Step-by-step explanation:
To find y, you need to get it by itself. Ask yourself, what is being done to y, then to undo that, do the opposite. For example, if 3 was added to y, you would need to subtract 3 to cancel out the 3. In this case, what is being done to y? It's being divided by 3. So, you multiply by 3 to cancel that out. Whatever you do to one side of an equation, you also have to do to the other. So,
8.5=
Multiply both sides by 3
3(8.5) = 3(
) multiply on the left side, and on the right side the 3s cancel out
25.5=y
7/y....the coefficient of y is 1
any time u have a variable by itself, whether it is x or y or any letter, the coefficient is gonna be 1