1. slope of the given line = 1/5
the equation is
(y-2)/(x-(-2))=1/5
x+2=5y-10
x-5y+12=0
2. slope of the given line = -1/6
the equation is
(y-9)/x=6
y-9=6x
y=6x+9
To solve for x, the first thing to do is to distribute the 4 to (x-2). When you do this, you should get 4x-8=4x+10
Then, subtract 4x from both sides and then you are left with -8=10. Because -8 is not equal to 10, meaning the equation you are left with is not a true statement, the answer to this would be that there are no real solutions.
4+2.2h=-3.7
2.2h=-7.7
h=-7.7/2.2=-7/2=-3.5
The answer is -3.5
Good luck!
Just distribute
<span><span><span><span><span><span><span><span><span><span><span>900<span>x</span></span></span></span></span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span><span><span><span><span>y</span></span></span></span></span></span></span></span></span></span></span>² <span><span><span><span><span><span><span><span><span>+ </span>−<span><span><span>2100x</span><span>y</span></span></span></span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span><span><span>z </span></span>+ </span>−<span><span><span>70x</span><span>y</span></span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span><span>z^103 </span></span></span>+ </span>−<span><span><span>107x</span><span>y</span></span></span></span></span></span></span>²<span><span><span><span><span><span>z^30 </span></span></span>+ </span>−<span><span>7x</span><span>z</span></span></span></span>³ <span>+ </span>−<span><span>70y</span><span>z
</span></span>> <span><span><span><span><span>−<span><span><span>70x</span><span>y</span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span>z^103 </span></span></span>− <span><span><span>107x</span><span>y</span></span></span></span></span></span></span>²<span><span><span><span><span><span>z^30 </span></span></span>+ <span><span>900<span>x</span></span></span></span></span></span>²<span><span><span><span><span>y</span></span></span></span></span>²<span><span><span><span><span> </span></span></span>− <span><span><span>2100x</span><span>y</span></span></span></span></span>²<span><span><span>z </span></span>− <span><span>7x</span><span>z</span></span></span>³<span><span><span> </span></span></span>− <span><span>70y</span><span>z</span></span>
Answer:
In an arithmetic sequence, the difference between any two consecutive terms must always be the same number, which is known as the common difference.
So we just need to take different pairs of consecutive terms and see if their difference is always the same:
1) The differences are:
32 - 35 = -3
29 - 32 = -3
26 - 29 = -3
So yes, this is an arithmetic sequence and the common difference is -3
2) The differences are:
-23 - (-3) = -20
-43 - (-23) = -20
-63 - (-43) = -20
This is an arithmetic sequence, and the common difference is -20
3) The differences are:
-64 -(-34) = -30
-94 -(-64) = -30
-124 -(-94) = -30
This is an arithmetic sequence and the common difference is -30
4) The differences are:
-40 -(-30) = -10
-50 - (-40) = -10
-60 - (-50) = -10
This is an arithmetic sequence and the common difference is -10
5) The differences are:
-9 - (-7) = -2
-11 - (-9) = -2
-13 - (-11) = -2
This is an arithmetic sequence, and the common difference is -2
6) The differences are:
14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
This is an arithmetic sequence, and the common difference is 5.
