Undefined slope.....means it is a vertical line. A vertical line is represented by x = a number...with that number being the x coordinate of ur point (2,-8).
so the equation would be : x = 2......this cannot be written in slope intercept form because of the undefined slope
Answer:
a = 9
Step-by-step explanation:
-6a + 2a = -36
-4a = -36
a = -36/-4
a = 9
The correct question is
Use the given information to find the exact value of the expression. sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
we know that
sin(α − β<span>) = </span>sin α cos β − cos α sin β
α lies in quadrant II
so
cos α is negative
sin α is positive
β lies in quadrant I
so
cos β is positive
sin β is positive
step 1
find sin β
cos β=15/17
sin² β+cos² β=1-----------> sin² β=1-cos² β----> sin² β=1-(15/17)²
sin² β=1-225/289-----> 64/289
sin β=8/17
step 2
find cos α
sin α = 21/29
cos² α + sin² α=1----> cos² α=1-sin² α---> cos² α=1-(21/29)²---> 1-441/841
cos² α=400/841------> cos α=-20/29 (remember cos α is negative)
step 3
find sin(α − β)
sin α = 21/29 cos α=-20/29
sin β=8/17 cos β=15/17
sin(α − β) = [21/29]*[15/17] − [-20/29*]*[8/17]
sin(α − β) = [315/493] − [-160/493]
sin(α − β) = 475/493
the answer is
sin(α − β) = 475/493
None of the answers in the picture are the correct answer.
y > -2
y >= 2/3x -4
would be the correct answer here.
The reasoning is both the equations should have (3,2) as a possible solution.
For the first inequality y has to greater than -2 because the given point has 2 as the y coordinate.
also putting (3,2) in y = 2/3x - 4, we observe that the equation becomes 2 = -2. So there must be a >= sign in the second inequality.
