9514 1404 393
Answer:
x -3y -7 = 0
Step-by-step explanation:
The general form of the equation for a line is ...
ax +by +c = 0
where a, b, c are mutually prime and the leading coefficient is greater than zero.
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The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...
rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope
For the given point and slope, we have ...
1(x -1) -3(y -(-2)) = 0
x -3y -7 = 0
Answer:
120
Step-by-step explanation:
If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...
720/6 = 120 different combinations of roller coasters
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This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...
nCk = n!/(k!(n-k)!)
10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120
(5, 3)
x y
Plug in:
x + y = 8
5 + 3 = 8
8 = 8
Plug in:
17(5) + 17(3) = 8
85 + 51 = 8
136 = 8
Answer - No, (5, 3) is not a solution to this system of equations.
Well there is 24 hours in a day so 24 - 15 = 9. So he spends 9 hours awake.
Answer:
x=106 degrees
Step-by-step explanation:
I'm going to assume that this is a circle since you didn't give it to me
So you want to add 164 and 90 together and subtract the sum by 360
360-(164+90)=106
So you want to use PEMDAS (order of operations) to solve this
- so do what's in the perenthesis first so 164+90=254
- Then you want to subtract 254 from 360 so 360-254=106
x=106 degrees
