1424 and 2243 are numbers in base 5. add these numbers as it relates to the base 5 system

In the "ones" place,

4₅ + 3₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

(a number in base 5 can only consist of the digits 0-4; anything larger, which I wrap in parentheses, needs to be split up further)

In the "tens" place, we carry over the 1 from the previous sum:

2₅ + 4₅ + 1₅ = (7)₅ = 12₅

In the "hundreds" place,

4₅ + 2₅ + 1₅ = (7)₅ = 12₅

In the "thousands" place,

1₅ + 2₅ + 1₅ = 4₅

So, we have

1424₅ + 2243₅ = 4222₅

d

step-by-step explanation:

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