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Natasha2012 [34]
3 years ago
5

Find the first,fourth, and eight terms of the sequence. a(n)=-2x5^n-1

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0
First term  = 2 x 5(1-1) =   2 x 1 = 2
4th term  = 2 x 5^3 =   250
8th term = 2 x 5^7  =  156,250
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Simplify this expression: -2x + 3 – (5 – 6x). Can someone pls explain how to do this dont just give the awnser
Verizon [17]

Answer:

-2x + 3 – (5 – 6x) = 4x - 2

Step-by-step explanation:

The given expression is :

-2x + 3 – (5 – 6x)

We need to simplify the above expression. First opening the brackets.

-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x

Taking like terms together,

= -2x+6x + 3 -5

= 4x - 2

So, the simplified expression is 4x - 2.

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Radius question <br><br> * answers listed on pic but I just need a step by step explanation *
Rama09 [41]

Step-by-step explanation:

Let A(x) be the area function of given rectangle.

Radius of circle = 7x

Therefore, length of rectangle = 14x

Width of rectangle = 7x

\therefore \: A(x) =l\times w \\  =  14x   \times  {(7x)} \\ =98x^2 \\  \huge \red{ \boxed{ \therefore \: A(x) =98 {x}^{2} }}

Let P(x) be the Perimeter function of given rectangle.

P(x) =2(l + w) \\= 2(14x + 7x)\\=2\times 21x\\= 42x\\\huge \red{ \boxed{ \therefore \:P(x)= 42x}}

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Enter the midpoint of the segment whose endpoints are (2,5) and (-4,12)
Alexus [3.1K]

Answer:

The answer is

<h2>( - 1 \: , \:  \frac{17}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )</h3>

From the question the points are

(2,5) and (-4,12)

The midpoint is

M = ( \frac{ 2 - 4}{2}   \: , \:  \frac{5 + 12}{2} )  \\  = ( -  \frac{2}{2}  \: , \:  \frac{17}{2} )

We have the final answer as

( - 1 \: , \:  \frac{17}{2} )

Hope this helps you

5 0
3 years ago
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