Answer:
4 is the answer
Step-by-step explanation:
They equal different things. If you simplify the second equation, it is 15x-4 = 15x-12 because of the 3 outside of the paranthesis. Therefore, the equation is wrong.
Answer:

Step-by-step explanation:

This is written in the standard form of a quadratic function:

where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:

where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

Using your original equation, identify the a, b, and c terms:

Insert the known values into the equation:

Simplify. Two negatives make a positive:

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

Simplify using PEMDAS:

The value of y is -6 (3,-6). Insert these values into the vertex form:

Insert the value of a and simplify:

:Done
Answer:
x² + y² = 144
Step-by-step explanation:
The general equation of a circle is given as
(x - a)² + (y-b)² = r²
where a and b are the center of the circle along the x and y axis respectively and r is the radius of the circle.
Hence a circle that has its center at the origin and has a diameter of 24 units, we can deduce that the values of a,b are 0,0. Also,
radius = diameter/2
= 24/2
= 12 units
Hence the standard equation of the circle
(x - 0)² + (y - 0)² = 12²
x² + y² = 144