X=6 and x=1
You can find your zeros by determining what you have to plug into the function in order for it to equal zero
If we plug in 6, for example we’d get (6-6)(x-1)
Simplified this is 0(x-1)
Anything times 0 is 0, so this is one of our zeros.
Same goes for x-1, we just need to plug in 1 for it to equal 0
Therefore there are zeros at x=1 and x=6 :))
The Cartesian equivalent of the polar coordinates (r, theta) is
(r cos t, r sin t), where t = theta.
So, (2, 3pi/4) becomes
(2 cos(3pi/4), 2 sin(3pi/4))
(2 • -sqrt{2}/2, 2 • sqrt{2}/2)
Answer: (-sqrt{2}, sqrt{2})
Done.
Note: sqrt = square root for short.
First, note that
is always positive (except for x=0), so
must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,
and
are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph
Answer:
17
Step-by-step explanation:
multiply both sides of the equation by 8
k + 31 = 48
move the constant to the right-hand side and change its sign
k = 48 - 31
subtract the numbers
k = 17
Answer:
The vertex angle is 94 degrees
Step-by-step explanation:
Let the vertex angle be x
Mathematically, the base angles of an isosceles triangle are the same
So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too
Mathematically, the sum of angles in a triangle is 180 degrees
Thus;
43 + 43 + x = 180
x = 180-86
x = 94 degrees
