Colli ear points are two or more points that lie on the same ?

Mathematics

1 answer:

Ivenika [448]2 years ago

6 0

Collinear points lie on the same line

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.Which one of the following is true when ds/dt=3t^2/2s

ser-zykov [4K]

1) Given: ds / dt = 3t^2 / 2s

2) Separate variables: 2s ds = 3t^2 dt

3) Integrate both sides:

∫ 2s ds = ∫ 3t^2 dt

s^2 + constant = t^3 + constant

=> s^2 = t^3 + constant

=> s = √ (t^3 + constant)

Answer: option B.

4 0

3 years ago

Find the center and radius of the circle with the given equation. Then select the correct graph of the equation.

likoan [24]

Answer:

Step-by-step explanation:

In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.

Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:

The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:

This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as

The radius is the square root of the constant. So the radius is 6.

D is the graph you want.

3 0

2 years ago

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around

Alex777 [14]

One complete revolution of the minute hand sweeps a central angle of 360° which is equivalent to 60 minutes.
That is, the minute hand creates
(360°/(60 min) = 6 degrees/min.

From 3:35 to 3:55 is 20 minutes.
It sweeps a central angle of
(20 min)*(6 deg/min) = 120°

Because 360° = 2π radians,
120° = (120/360)*2π = (2π)/3 radians

Answer:
$\frac{2 \pi }{3} \,radians$
In decimals, this is 2.1 radians (nearest tenth)

Part 2:
Because the minute hand is 4 inches long, the length of the arc swept is
(4 in)*(2π/3 radians) = 8π/3 inches

Answer:
$\frac{8 \pi }{3} \,inches$
In decimals, this is 8.4 inches (nearest tenth).

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2 years ago

Help i dont understand how to multiply fractions

Nataly_w [17]

Just multiply the tops together and the bottoms together :)

5 0

3 years ago

Read 2 more answers

6.9 is 112% of what number?

Komok [63]

Answer:

6.16