Answer:
the right answer is 5√3 believe me i took this quiz
Step-by-step explanation:
Answer:
y = 4/3x - 4
Step-by-step explanation:
to find the equation of a line with 2 points, we use the slope formula which is:

we will use (6,4) as
and we will use (-3,-8) as
. we plug this into the slope formula:

-8 - 4 = -12
-3 - 6 = -9
the slope is 
but we can simplify this further by dividing the fraction by -3
-12 / -3 = 4
-9 / -3 = 3
the simplified version of the slope is 
we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope
y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)
4 = 4/3(6) + b < multiply 4/3 x 6
4 = 8 + b < subtract 8 from both sides
-4 = b
our y intercept would be (0,-4)
the equation looks like the following:
y = 4/3x - 4, which is our answer
theta is in the fourth quadrant where the cosine is positive.
the third side in the triangle = sqrt (4 - 2) = sqrt2
So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)
tan theta = - sqrt2 / sqrt2 = -1
Answer:
x = 4
Step-by-step explanation:
8x - 9 = 6x - 1
Bring variables to the left side, whereas numbers to the right.
8x - 6x = - 1 + 9
2x = 8
x = 8 / 2
x = 4