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3 years ago

If x is the midpoint of wy, wx =3x-1and wy =10x-26 find xy

Mathematics

1 answer:

Firlakuza [10]3 years ago

4 0

Answer:

The length of XY is 17

Step-by-step explanation:

Given that X is midpoint of line WY

WX=3x-1

WY=10x-26

To find XY:

Given WY is straight line and X is midpoint of line WY

We can write as

WX+XY=WY

(3x-1)+XY=(10x-26)

XY=7x-25

Also, WX=XY

(3x-1)=(7x-25)

-1+25=7x-3x

4x=24

x=6

The length of XY is 7x-25=7(6)-25=42-25=17

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4 years ago

Find the explicit formula for the geometric sequence cn given below. Note that c1=6.

kodGreya [7K]

The explicit formula for the geometric sequence $c_{n}$ is

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Step-by-step explanation:

The formula of the nth term of a geometric sequence is

$a_{n}=a(r)^{n-1}$ , where:

a is the first term of the sequence
r is the common ratio between the consecutive terms

The geometric sequence of $c_{n}$ is 6 , -2 , $\frac{2}{3}$ , $\frac{-2}{9}$ , $\frac{2}{27}$

∵ $c_{1}$ = 6

∵ $r=\frac{c_{2}}{c_{1}}$

∵ $c_{2}$ = -2

∴ $r=\frac{-2}{6}$

- Divide both term by 2 to simplify it

∴ $r=\frac{-1}{3}$

∵ $c_{n}=c_{1}(r)^{n-1}$

- Substitute the value of $c_{1}$ and r in the rule above

∴ $c_{n}=6(\frac{-1}{3})^{n-1}$

The explicit formula for the geometric sequence $c_{n}$ is

$c_{n}=6(\frac{-1}{3})^{n-1}$

Learn more:

You can learn more about the geometric sequence in brainly.com/question/1522572

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