$\frac{|PQ|}{|QR|}=\frac{1}{3}\\\\1+3=4\\\\|PQ|=|-1-(-3)|=|-1+3|=|2|=2\\\\1\times\frac{2}{4}=1\times\frac{1}{2}=\frac{1}{2}\\\\x-coordinate\ of\ Q:x=-3+\frac{1}{2}=-2\frac{1}{2}$

6 0

3 years ago

Rationalize the denominator and simplify. <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%20%5Cdiv%202%7D%20" id="TexFormul

sweet [91]

Step-by-step explanation:

sqrt 3 / sqrt 2 ×(sqrt 2/sqrt 2)

this is like timesing by 1

but you cancel the sqrt2 on bottom

bring the two fractions together and multiply

(sqrt 3 × sqrt 2)/2

sqrt 6/2

4 0

2 years ago

Find the eighth term of the sequence 2, 1, -2, -7 -14, .....

ValentinkaMS [17]

2-1=1-3=-2-5=-7-7=-14

-1

-3

-5

-7

the sequence is +-2

-9

-11

-13

-15

...-14-9=-23

-23-11=-34

-34-13=-47

-47-15=-62

The eighth term of the sequence 2, 1, -2, -7 -14, ... is -47.

6 0

3 years ago