Answer:
y = -5/14x + 12
Step-by-step explanation:
add 14y to both sides to isolate variables and divide everything by 14 to get 1y and boom
Answer:
C) x/2 +2y = 4
Step-by-step explanation:
Of the equations offered, only equation C has the given point as a possible solution.
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Since the graph is not given, we don't know if the given point is on the graphed equation.
Answer:
Step-by-step explanation:
The given function : ![y=\ln(x(x^2 - 1)^{\frac{1}{2}})](https://tex.z-dn.net/?f=y%3D%5Cln%28x%28x%5E2%20-%201%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%29)
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Now , Differentiate both sides with respect to x , we will get
(By Chain rule)
[Note :
]
![\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7B1%7D%7B2%7D%28%5Cdfrac%7B1%7D%7Bx%5E2-1%7D%29%282x-0%29)
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![=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7B1%7D%7B2%7D%28%5Cdfrac%7B1%7D%7Bx%5E2-1%7D%29%282x%29%20%3D%20%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7Bx%7D%7Bx%5E2-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B%28x%5E2-1%29%2B%28x%5E2%29%7D%7Bx%28x%5E2-1%29%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B2x%5E2-1%7D%7Bx%28x%5E2-1%29%7D)
Hence, the derivative of the given function is
.
Answer:
C. T = 4n+6/2
Step-by-step explanation:
4n = 2(T-3)
or, 4n = 2T-6
or, 4n + 6 = 2T
or, 4n + 6 / 2 = T
or, T = 4n + 6 / 2
Answer:
CODE: 1977.98
Step-by-step explanation:
A.
(To get the closest answer, round the circumference to the nearest ten thousandth.)
C = 2(3.14)r Circumference formula: C = 2πr
C = 2(3.14)(3)
C = 18.84
B.
A = (3.14)r²
A = (3.14)(3)²
A = (3.14)(9)
A ≈ 28.26
C. (It's asking for the circumference.)
C = 2(3.14)r
C = 2(3.14)(58)
C ≈ 364.24
D. (It's a linear pair, which is 180 degrees.)
4x + 2x = 180
6x = 180
x = 30
m∠ABD = 4x
m∠ABD = 4(30)
m∠ABD = 120°
E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)
x + 7 = 3x - 21
28 = 2x
14 = x
F. (x = 14)
m∠JHK = 3x - 21
m∠JHK = 3(14) - 21
m∠JHK = 42 - 21
m∠JHK = 21°
G. (Supplementary - two angles that add up to 180 degrees.)
180 - 84
= 96°
CODE: E(C - D) - F(G - B) - A
CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84
CODE: 14(244.24) - 21(67.74) - 18.84
CODE: 3419.36 - 1422.54 - 18.84
CODE: 1977.98