May somebody please help me with this question. It would mean a lot! Thank you
1 answer:
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Expanded form of 3( 6 + 7) is
Need to use distributive property to write the expanded form of 3(6 + 7)
Let’s understand what is distributive property.
The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.
According to distributive property, for numbers a , b and c
----- eqn 1
3(6 + 7) can be rewritten as 3 ( 6 + 4 + 3 ) = 3 ( 10 + 3 )
Now in our case a = 3 , b = 10 and c = 3
On substituting the values of a , b and c in equation 1 we get
So expanded form of 3( 6 + 7) is
Answer:
The maximum height of the baseball is 9 feet
Step-by-step explanation:
we have
where
p(t) ----> baseball position above the ground in feet
t ----> the time in seconds
v_0 ----> is the initial velocity in ft/sec
p_0 ---> initial position above the ground
we have
substitute the given values
This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation in vertex form
Factor -16 leading coefficient
Complete the square
Rewrite as perfect squares
The vertex is the point (0.5,9)
The maximum height of the baseball above the ground is the y-coordinate of the vertex
therefore
The maximum height of the baseball is 9 feet