3(y − 11) = 18
i really need the help

y = 17

Step-by-step explanation:

Isolate the variable y. Do the opposite of PEMDAS.

Note that:

PEMDAS is the order of operation and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

First, distribute 3 to all terms within the parenthesis:

3(y - 11) ⇒ (3 * y) + (3 * -11) ⇒ (3y) + (-33) ⇒ 3y - 33

Next, Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 33 to both sides of the equation:

3y - 33 (+33) = 18 (+33)

3y = 18 + 33

3y = 51

Next, divide 3 from both sides of the equation to isolate the variable, y:

(3y)/3 = (51)/3

y = 51/3

y = 17

y = 17 is your answer.

~

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.