PLEASE NEED ANSWER HELP ASAP

VW=18

Step-by-step explanation:

UV+VW=UW

10+4x=6x+1

2x=9

x=9/2

VW=4x

VW=4*9/2

VW=18

VW=18

Step-by-step explanation:

Since we know that the line segment is UW, we know that it consists of UV and UW. Therefore, we add UT and VW, and set it equal to UW to find x.

10+4x=6x+1                             [subtract each side by 1]

9+4x=6x                                  [subtract both sides by 4x]

9=2x                                        [divide both sides by 2]

x=9/2

Now that we have found x, we can plug it into VW to find the length.

VW=4(9/2)                              [multiply]

VW=18

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

77

step-by-step explanation: