(2)^2+b2=7^2
4+b2=49
B2=45
Sqrt on both sides
B= sqrt(45)
B=6.7
Simplify the following:
1/3 - 1/6 + 4/18
The gcd of 4 and 18 is 2, so 4/18 = (2×2)/(2×9) = 2/2×2/9 = 2/9:
1/3 - 1/6 + 2/9
Put 1/3 - 1/6 + 2/9 over the common denominator 18. 1/3 - 1/6 + 2/9 = 6/18 - 3/18 + (2×2)/18:
6/18 - 3/18 + (2×2)/18
2×2 = 4:
6/18 - 3/18 + 4/18
6/18 - 3/18 + 4/18 = (6 - 3 + 4)/18:
(6 - 3 + 4)/18
6 + 4 = 10:
(10 - 3)/18
10 - 3 = 7:
Answer: 7/18
Answer:
10/4 cups of juice
Step-by-step explanation:
4/4 = 1
so 4/4 + 4/4 = 2
and 1/2 = 2/4
then add
4/4 + 4/4 + 2/4 = 10/4
Answer:
(0,0)
Step-by-step explanation:
The coordinates of C now are (-7,-5).
Moving C -3 on the x-axis will move -7 - 3 = -10. C is now located on (-10,-5).
Moving C +5 on the y-axis will move -5 + 5 = 0. C is now located on (-10,0).
Moving C on the y-axis +10 will move -10 + 10 = 0. C is now located on (0,0).
C is translated to (0,0).
Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
