A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
1 answer:
Answer:
8.90 seconds
Step-by-step explanation:
When the rocket hits the ground, its height ( <em>y</em> ) will be zero. This means we can write the equation as:
- 0 = -16x²+129x+119
So we need to <u>solve that equation</u>:
- a = -16
- b = 129
- c = 119
- x =
x₁ = -0.84
x₂ = 8.90
We discard x₁, as it is negative.
So the answer is x₂, 8.90 seconds.
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Step-by-step explanation:
Remark
Always the easiest way to study these questions is to get a graph. The one below shows
Red: y = x^2
Blue: y= 3(x + 1)^2
You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.
The 3 is a little harder. It narrows the red mother graph. Which choice says that?
The choice is between b and d. Why. Because the blue graph is to the left of the red one.
You have to learn the meaning of compressed. A better word might be narrows.
Answer
B
Answer:
Step-by-step explanation:
Component form of a vector is given by , where
represents change in x-value and
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector
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.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being
, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that
Therefore, the component form of this vector is