What does it mean for x and y to vary inversely?

when x increases from 1 to 10, does 1 over x increase or decrease?

describe a real life situation that shows inverse variation

1. The statement "y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression xy is constant: xy = k.

2. increase

3. One type of variation is inverse variation, and two variables are said to vary inversely if when one increases the other decreases and vice versa. The formula we use to indicate that a variable, y, varies inversely with a variable, x, is y=kx y = k x , where k is a constant called the constant of variation.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

1. 16.64

a^2+b^2=c^2

pr^2=pq^2+qr^2

pr^2=14^2+ 9^2

pr^2=196+81

pr= sqr root of 277

16.64

2. 11.31

c^2-a^2=b^2

18^2- 14^2=b^2

b^2=324-196

b=sqr root of 126

b=11.31

hope it ! (btw im in connections academy to, good luck! )