Answer:
Step-by-step explanation:
2x²-3=47
2x²=47+3
x²=50/2=25
x=±√25=±5
Answer:
Your <u>correct</u> answer is 14t - 40
Step-by-step explanation:
Combine like terms:
10t + 3t + t = 14t
Since there are no other integers, just tag on the -40:
14t - 40
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Solve the equation for x, where x is restricted to the given interval. y= 8 cos 3x, for x in[0, pi/3] x = 1/3 y/8 x= 1/8 y/3 x= 5 y/3 x= 3 y/8 Use a calculator to give the value to the nearest degree. theta - sin^-1(0.8830) 57 degree 62 degree 60 degree 118 degree Write the product as a sum or different of trigonometric functions. 2 sin 2x sin 12 x cos 14x + cos 10x 1/2(cos 14x + cos 10x) sin 14x + sin 10x cos 10x - cos 14x Find the value of the real number y. y = cos^-1[squarerrot 2/2] pi/4 11 pi/6 7 pi/4 pi/6 Use Identities to find the exact value. cos 165 degree - squareroot 6 - squareroot 2/4 squareroot 2 - squareroot 6/4 squareroot 6 - squareroot 2/4 squareroot 6 + squareroot 2/4
Explanation:
Addition of fractions can be accomplished using the formula ...
a/b + c/d = (ad +bc)/(bd)
Usually, you are asked to find the common denominator and rewrite the fractions using that denominator. It is not necessary, but it can save a step in the reduction of the final result. Here, we'll use the formula, then reduce the result to lowest terms.
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13. 5/6 +9/11 = (5·11 +6·9)/(6·11) = 109/66 = 1 43/66
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14. 7/20 -5/8 = (7·8 -20·5)/(20·8) = -44/160 = -11/40
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15. 1/5 -1/12 = (1·12 -5·1)/(5·12) = 7/60
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Dividing fractions can be accomplished different ways. I was taught to multiply by the inverse of the divisor. ("Invert and multiply.") Here, that means the problem (2/7) / (1/13) can be rewritten as ...
(2/7) × (13/1) . . . . . where 13/1 is the inverse of 1/13.
You can also express the fractions over a common denominator. In that case, the quotient is the ratio of the numerators. Perhaps a little less obvious is that you can express the fractions using a common numerator. Then the quotient is the inverse of the ratio of the denominators: (2/7) / (2/26) = 26/7. (You can see how this works if you "invert and multiply" the fractions with common numerators. Those numerators cancel.)
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16. (2/7)/(1/13) = 2/7·13/1 = 26/7 = 3 5/7
