Select the equivalent expression
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58+360n, for any integer n.
Explanation:
412° is more than 360°, which is a full circle. To find the smallest angle that is coterminal with 412°, we subtract 360° from it:
412-360 = 58°
This means that 58° is the smallest coterminal angle with 412°.
Every whole circle added on to this will also be coterminal with it. Again, a whole circle is 360°; this means that every 360° increment that is added to 58° will be coterminal with it.
To represent multiples of 360, we write 360n. Adding this to our original angle, we have 58+360n.
This works for positive and negative numbers; for example, if you use n = -1:
58+360(-1) = 58-360 = -302
Graphing this angle, we would go counterclockwise from the positive x-axis; we would land at 58°, so it would still be coterminal with 412°.
And then, if you add any whole number of 360s onto it,
you get the same angle again.
So it's 58+360n with n=any whole number
(n=0 doesn't work, so it's not 'integer'. '0' is an integer.)
x = −4 and x = 0
x = −20 and x = 4
No solution
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✯is the question you've asked us today:
|x − 2| + 10 = 12
✯Add -10 to both sides:
|x−2|+10+−10=12+−10
✯Solve Absolute Value:
|x−2|=2
✯We know either:
x−2=2 or x−2=−2
(Possibility 1) x−2=2
(Add 2 to both sides) x−2+2=2+2
x=4
(Possibility 2) x−2=−2
(Add 2 to both sides) x−2+2=−2+2
x=0
✯So since we have gotten x=4 and x=0 you answer shall be:
B. x=4 and x=0
✯I hope this helps!✯
l x - 2 l = 12 - 10 ⇒ l x - 2 l = 2 now because of the absolute value you should say :
1) x - 2 = 2 ⇒ x = 2 + 2 ⇒ x = 4
2) x- 2 = -2 ⇒ x = -2 +2 ⇒ x = 0
so the answer is first one :)))
i hope this is helpful
have a nice day
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We have to multiply numerator and denominator by: √(25-h)+ 5:
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Answer:
Square area =c²
64=c²
c=√64 = 8m
we calculate the diagonal
d²=8²+8²
d²=128
d= √128 = 8√2 exact value
Step-by-step explanation:
A.1/4
B.1/12
C.1/3
D.1/4