Answer:
y = 8(x + 2)^2 + -15
Step-by-step explanation:
Factor out the leading coefficient.
y = 8(x2 + 4x) + 17
Form a perfect-square trinomial.
y = 8(x2 + 4x + 4) + 17 + -32
Write in vertex form.
y = 8(x + 2)^2 + -15
Answer:
Step-by-step explanation:
25/8
8*3=24
25-24=1
3 1/8
The answer is:
The explanation of this exercise is shown below:
1. You have the following expression given in the problem above:
2. By the exponents properties, when you multiply powers with the same base, you must sum the exponents. In this case the base is , therefore, you must sum the exponents.
3. The result of the sum is 6, therefore, must be 4:
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