Step-by-step explanation:
y = x² - 4x + 7
the general vertex form is
y = m(x-h)² + k
to bring the part "x² -4x" to an expression of (ax + b)² we need to add 4, as "x² - 4x + 4" = (x - 2)².
and since we add 4 there, we need to subtract 4 overall again to keep the value of the expression the same :
y = x² - 4x + 4 + 7 - 4 = (x - 2)² + 7 - 4 = (x - 2)² + 3
and so, that is the vertex form :
y = (x - 2)² + 3
The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
Answer:
It should be the second one 4,18,6
Step-by-step explanation:
Let me know if that is right . . .
Hope this helps!
Answer:
√3
Step-by-step explanation:
The given expression to be simplified is
but
Since √12=2√3,this implies that,
Therefore,
The simplified form of ,
is √3
For (h+g)(x) you just add the two functions:
(h+g)(x) = 4x + 2x^2
For (h•g)(x) you multiply them:
(h•g)(x) = 4x • 2x^2 = 8x^3
For (h-g)(x) you subtract them:
(h-g)(x) = 4x - 2x^2
For (h-g)(-2) you sub -2 into the equation we just created:
(h-g)(-2) = 4(-2) - 2(-2)^2
(h-g)(-2) = -8 - 2(4)
(h-g)(-2) = -8 - 8
(h-g)(-2) = -16
