Answer:true
Explanation:
24+24=48
48-8=40
40x2=80
80=80!
So it is true.
Answer:
c
Step-by-step explanation:
Hope this helps.
Answer
Where is the picture
Step-by-step explanation:
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
We have the equation

Let's complete the square, to do it let's add and subtract 25 on the right side

Now we can have y in function of x

Now we can already identify the vertex because it's in the vertex form:

Where the vertex is

As we can see, h = 5 and k = -2, then the vertex is

Now we can continue and find the focus, the focus is

We have a = 1/20, therefore

The focus is

And the last one, the directrix, it's

Then

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7