What equation represents a circle with its centre at the origin, and a radius measuring 12 units

The equation is x² + y² = 144.

Step-by-step explanation:

This works the same way as before.

You know that at the origin, it equals (0, 0). So, we have no need to insert values for h and k. Therefore, it will just be x² + y² = r².

R is your radius, and this is given as 12 units. So, r = 12. Therefore, r² = 144.

Your final equation is x² + y² = 144.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !