y is inversely proportional to x. when y=7 x=9 a) work out an equation connecting y and x b) work out the value of y when x=21

a) y = k/x

7 = k/9

b) y = 3

Step-by-step explanation:

From the question, we are told that:

y is inversely proportional to x.

Mathematically:

y ∝ 1/x

y = k × 1/x

y = k/x

k = Constant of Proportionality

a) work out an equation connecting y and x

To find this Equation,

y = k/x

when y=7 x=9

Hence:

7 = k/9

b) work out the value of y when x=21

We find the value of k first

7 = k/9

k = 7 × 9

k = 63

Hence, the value of y when x=21

y = k/x

k = 63, x = 21

y = 63/21

y = 3

my guess would be b and d, but i didn’t actually get out the pen and paper. lol

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct