Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
Factor the following:
x^2 - 5 x - 24
Hint: | Factor x^2 - 5 x - 24 by finding two numbers whose product is -24 and whose sum is -5.
The factors of -24 that sum to -5 are 3 and -8. So, x^2 - 5 x - 24 = (x + 3) (x - 8):
Answer: (x + 3) (x - 8)
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Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer: (7 x - 8) (7 x + 8)
<span>-24 + 15 x + x^2
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Factor the following:
x^2 - x - 110
Hint: | Factor x^2 - x - 110 by finding two numbers whose product is -110 and whose sum is -1.
The factors of -110 that sum to -1 are 10 and -11. So, x^2 - x - 110 = (x + 10) (x - 11):
Answer: (x + 10) (x - 11)___________________________________________________________
Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer: (7 x - 8) (7 x + 8)
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Factor the following:
25 x^2 + 40 x - 10
Hint: | Factor out the greatest common divisor of the coefficients of 25 x^2 + 40 x - 10.
Factor 5 out of 25 x^2 + 40 x - 10:
Answer: 5 (5 x^2 + 8 x - 2)
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Factor the following:
9 x^2 + 3 x^2 - 6 x
Hint: | Add like terms in 9 x^2 + 3 x^2 - 6 x.
3 x^2 + 9 x^2 = 12 x^2:
12 x^2 - 6 x
Hint: | Factor common terms out of 12 x^2 - 6 x.
Factor 6 x out of 12 x^2 - 6 x:
Answer: 6 x (2 x - 1)
THE ANSWER IS B 0 PLS MARK ME BRALIEST
2.3 and 2.30 both are the same but it’s in money so IDK
