Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
Answer:
14.40646471 =x
Step-by-step explanation:
tan (42) = x/16
Multiply each side by 16
16 tan 42 = x/16 *16
16 tan 42 = x
16 * .900404044 = x
14.40646471 =x
Answer:
6(a) + 12(b) + 18(c)
Step-by-step explanation:
As we did in the previous problem, we need to remove the parenthesis using distributive property so as to be able to combine like terms.
The first paranthesis is positive, so nothing changes as we remove it:
8 j^3 + 9 j^2 + 6 j + 8 - (j^2 + 8)
before removing the second parenthesis, we realize it is preceded by the negative sign of the indicated subtraction. Then as we remove the parenthesis, we flip the signs of all terms inside it:
8 j^3 + 9 j^2 + 6 j + 8 - j^2 - 8
now we combine like terms + 8 and - 8, rendering a zero "0". and we also combine the terms that contain j^2 : 9 j^2 - j^2 = 8 j^2.
Therefore, our final expression becomes:
8 j^3 + 8 j^2 + 6 j
