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Tomtit [17]
3 years ago
10

Which expression is equivalent to sin^2 x-sin x - 2/sin x -2

Mathematics
1 answer:
Sliva [168]3 years ago
3 0
Set sin x to a variable, i.e. u

u^2-u-2/u-2.

Factor:

(u-2)(u+1)/(u-2)

Simplify by canceling the u-2s...

leaving u+1. Since we substituted u for sin x...
the answer is A. sin x + 1
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<h2>\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}</h2>
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<h2>\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}</h2>
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<h2>\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}</h2>
  • ∠RSU and ∠USV are complementary angles

\sf\implies{ \angle RSU + \angle USV = 90 \degree }

\sf\implies{ (4x-15) + 20 = 90 }

\sf\implies{ 4x-15+20=90}

\sf\implies{4x+5=90}

\sf\implies{4x=90-5}

\sf\implies{4x=85}

\sf\implies{x={\dfrac{85}{4}}}

\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}

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5 0
3 years ago
18
Lorico [155]

Answer:

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8 0
3 years ago
Does each equation represent exponential decay or exponential growth?
Elden [556K]

Answer:

  decay: a, b

  growth: c, d, e, f

  neither: g

Step-by-step explanation:

A function is exponential if it has the independent variable in an exponent. g(x) is a linear function, not an exponential function.

__

An exponential function is a growth function if the coefficient of the variable is positive and the base of the exponent is greater than 1. It is a decay function if the exponent is positive and the base is less than 1.

The first two functions are decay functions. The remaining four exponential functions are growth functions.

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Galina-37 [17]

See attachment for math work and answer.

8 0
3 years ago
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Reil [10]

Answer:

31.25 seconds

Step-by-step explanation:

Examine division

11.6 + 24.4 = 36 m < 50m

and 36 + 37.2 - 73.2m > 50m

50 - 36 = 14m

14 * 23.25/37.2 = 8.75 seconds

7.25 + 15.25 + 8.75 = 31.25 seconds

so it would take him 31.25 seconds to swim 50 meters.

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