Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a
a = -31/42.25
a = -124/169
Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
You're going to set up a proportion. % over 100 = is over of. You're looking for the percent so that's your x. X over 100=7 over 25. Cross multiply to get 25x=700. Divide both sides by 25 and your answer is 28%
Answer:
-8=-16+m
-8+16=m
m=8
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2 and 3 are prime numbers, so it means that the greatest common factor is:
G.C.M(2;3)=2*3=6
Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function

and the graph is shifted 3 units to the left, then we can think of a new unit u that is:

The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:

We can use this relation in the new graph and replace u as:
