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kvasek [131]
2 years ago
12

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

Mathematics
1 answer:
lora16 [44]2 years ago
7 0
a_{1}=-2 \\  \\ a_{2}=8 \\  \\ q= \frac{a_{2}}{a_{1}}  \\  \\ q= \frac{8}{-2}=-4 \\  \\ a_{n}=a_{1}*q^{n-1} \\  \\ a_{n}=-2*-4^{n-1}
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Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and
jenyasd209 [6]

Equation of a line is x+3y =-3.

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are (x_{1},y_{1}) = (4, 1) and (x_{2},y_{2}) = (2, -5).

First find the midpoints of the given line segment.

M = \left(\frac{x_{1}+x_{2}  }{2},\frac{y_{1}+y_{2}  }{2}\Right)

    =  \left(\frac{4+2  }{2},\frac{1-5  }{2}\Right)

M   =  (3,-2)

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between (x_{1},y_{1}) and (x_{2},y_{2}) = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

so,

the slope between (4,1) and (2,-5)  =  \frac{-5-1  }{2-4 }

                                                         = 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= \frac{-1}{3}

The equation of a line that has a slope of m and passes through the midpoints M(3,-2)  is

y-y_{1} =m(x-x_{1} )

y-(-2) =\frac{-1}{3} (x-3 )

(y+2) =\frac{-1}{3} (x-3 )

if we want slope intercept form

(y+2) =\frac{-1}{3} x+1

y= \frac{-1}{3} x-1

If we want standard form

\frac{1}{3} x+y = -1

x+3y =-3

Hence, Equation of a line is x+3y =-3.

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

   

7 0
1 year ago
In the equation 5x-2=-x-20, What is the value of x?<br> a. 2<br> b. -1<br> c. -3<br> d. -2
mestny [16]

Answer:

C choice.

Step-by-step explanation:

5x - 2 =  - x - 20 \\

First, we move the same terms to the same side.

5x + x =  - 20 + 2 \\ 6x =  - 18

Then we move 6 to divide - 18.

x =  \frac{ - 18}{6}  \\ x =  - 3

7 0
2 years ago
set up a skeletal profit and loss statement in boss dollars and percentage if your year-end profit is 7800, the profit percentag
tatiyna

ne s o

Step-by-step explanation:

6 0
3 years ago
Help me PLEASEEEeeee
Harlamova29_29 [7]

Answer:

y=-2x-2

Step-by-step explanation:

Just ask.

Hope this helped! :)

8 0
2 years ago
The radius of a bicycle wheel is 80cm. During one trip this wheel rotted 25121 times. To the nearest metre, how far did the bicy
azamat

Answer: someone plz help

Step-by-step explanation:

3 0
3 years ago
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