Answer: 2.7
Step-by-step explanation:
24÷9=2.7
Answer:
x = 1
Step-by-step explanation:
Subtract 10 from 8 to get -2. Then divide -2x by itself so it will cancel out. Whatever you do to one side of the equation, do to the other so divide -2 by -2 to get your answer of 1
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is

where, (h,k) is center and r is the radius.


Now, put x=2.




Taking square root on both sides.




So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball

we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,


notice that, our given function is not in standard form i.e

let's make it so

therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:

remove parentheses and change its sign:

simplify multiplication:

simplify division:

so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function

simplify square:

simplify mutilation:

simplify substraction:

hence,
the maximum height of the baseball is 44.1 metres