Can somewon help me plz can somewon help me
2 answers:
Hey there! I'm happy to help!
Let's look at our diameters.
We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.
We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x
Therefore, your answer is 50.
Have a wonderful day! :D
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An object that is in motion as a projectile follows a path or trajectory of a parabola
The function and values are;
- a) The equation of the quadratic function is;
- b) The maximum height of the ball is approximately <u>7.334 m</u>
- c) Horizontal distance at maximum height <u>18.8 meters</u>
<u />
Reason:
a) Known parameters are;
Let f(x) = a·x² + b·x + c represent the equation of the parabola modelling the path of the ball, we have;
Points on the path of the parabola = (0, 0), (35, 1.5), 37, 0)
Plugging the values gives;
0 = a·0² + b·0 + c
Therefore, c = 0
1.5 = 35²·a + 35·b
0 = 37²·a + 37·b
Solving gives;
a = -3/140, b = 111/140
The equation of the quadratic function is therefore;
b) The maximum height is given by the vertex of the parabola
The x-coordinate at the vertex is the point
Which gives;
The maximum height is therefore;
The maximum height of the ball is approximately 7.334 m
c) The distance the ball has travelled to horizontally is given by half of the range, <em>R</em> as follows;
The range of the motion, R = 37 meters
Therefore;
The distance the ball has travelled horizontally to reach the maximum height horizontally <u>18.5 meters</u>
Learn more about the trajectory of a projectile here: