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g100num [7]
2 years ago
6

What is (2 + 4i) + (-6-4i) simplified? ​

Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0
Simplified the answer is -4
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Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0
3 years ago
Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.
quester [9]
An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex.  Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9).  Therefore, a = 5/9, and the 
equation of the parabola is

y+1 = (5/9)(x+1)
8 0
2 years ago
Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia
omeli [17]
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

5 0
3 years ago
Read 2 more answers
Five more than the product of a number and 4 is equal to 8
Maru [420]

Answer:

4x+5=8

x=\frac{3}{4}

Step-by-step explanation:

Let

x ---> the number

we know that

The algebraic expression is equal to multiply the number by 4, add 5 and equal 8

so

4x+5=8

Solve for x

subtract 5 both sides

4x=8-5\\4x=3

Divide by 4 both sides

x=\frac{3}{4}

3 0
3 years ago
What is the solution f/4 = 12/5​
Ede4ka [16]

Answer:

f = 48/5

Step-by-step explanation:

5f = 12 * 4

5f = 48

f = 48/5

7 0
3 years ago
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