So, you need to know that the slope stays where it is, and that the 6 is not part of the final answer, so get rid of it.
y=2x+b
Now, submit x in for x, and y in for y.
3=2(1)+b
3=2+b
1=b
Put this in for the equation missing the b,
y=2x+1
Now check it; if you put 1 in for x, does y=3?
Answer:
Anything in the form x = pi+k*pi, for any integer k
These are not removable discontinuities.
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Explanation:
Recall that tan(x) = sin(x)/cos(x).
The discontinuities occur whenever cos(x) is equal to zero.
Solving cos(x) = 0 will yield the locations when we have discontinuities.
This all applies to tan(x), but we want to work with tan(x/2) instead.
Simply replace x with x/2 and solve for x like so
cos(x/2) = 0
x/2 = arccos(0)
x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k
x = pi + 4pi*k or x = -pi + 4pi*k
Where k is any integer.
If we make a table of some example k values, then we'll find that we could get the following outputs:
- x = -3pi
- x = -pi
- x = pi
- x = 3pi
- x = 5pi
and so on. These are the odd multiples of pi.
So we can effectively condense those x equations into the single equation x = pi+k*pi
That equation is the same as x = (k+1)pi
The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).
Answer:
7.5 meters
Step-by-step explanation:
As with many quadrilaterals, pairs of sides have the same length, so the perimeter is twice the sum of two of the sides.
In a kite, generally, opposite sides have different lengths, so the perimeter is twice the sum of the lengths of opposite sides. That is
51 m = 2(18m + side opposite)
15 m = 2 × (side opposite)
7.5 m = side opposite
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<em>Comment on side lengths</em>
In a rectangle or parallelogram, the perimeter is twice the sum of adjacent sides. A kite is different in that adjacent sides may be the same length. If the kite is not a rhombus, <em>opposite</em> sides are <em>always</em> different lengths.
1. 4
2. 42
3. 30
4. 4
5. 18
6. 8
7. 36
8. 9
9. 19
10. equivalent
11. not equivalent
12. not equivalent
13. not equivalent
14. equivalent
15. equivalent
Have a good day, my dude.