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3 years ago

X^2y^-1 + y / a-xy^-1

Mathematics

1 answer:

beks73 [17]3 years ago

5 0

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Answer: Screenshot below!

I hope this helped!

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Find the slope of the line passing through the points (3, 4) and (8, -3).

aalyn [17]

Answer:

<h2> $\bold{m=-1\dfrac25}$ </h2>

Step-by-step explanation:

The slope of the line passing through two given points: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(3, 4) ⇒ x₁ = 3, y₁ = 4

(8, -3) ⇒ x₂ = 8, y₂ = -3

So, the slope:

$m=\dfrac{-3-4}{8-3}=\dfrac{-7}{5}=-1\dfrac25$

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3 years ago

A high speed elevator con rise 500 feet in 30 seconds. Which expression represents the rate, in feet per a minute,of the elevato

kipiarov [429]

16.6 feet (with the last 6 repeating) per minute or if you want whole numbers, it would be 50 feet per 3 minute.

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3 years ago

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as mc024-1.j

Alex Ar [27]

We have the given I = 10^-1 and I₀ = 10^-12.

Simply plugging in the values to the equation, we have:
L = 10log(10^-1/10^-12)
L = 110 Db

The answer is D.

(I used a scientific calculator in solving for L).

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4 years ago

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6 (n+3) use distributive property.

NeX [460]

Answer:

6n + 18

Step-by-step explanation:

Multiply each n and 3 by 6:

6 (n+3) = 6n + 18

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4 years ago

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If 7 cosec^2 theta-9 cot^2theta=7 then what is the value of tantheta

NemiM [27]

The value of tanθ = ±∞ or tanθ = ±√(7/5)

The question is a trigonometric equation

<h3>What is a trigonometric equation?</h3>

A trigonometric equation is an equation that has unknowns that contain trigonometric ratios.

<h3>How to find the value of tanθ?</h3>

Given the trigonometric equation 7cosec²θ - 9cot²θ = 7, we require tanθ.

So, 7cosec²θ - 9cot²θ = 7

using the trigonometric identity 1 + cot²θ = cosec²θ.

Substituting this into the equation, we have

7cosec²θ - 9cot²θ = 7

7(1 + cot²θ)² - 9cot²θ = 7

7(1 + 2cot²θ + cot⁴θ) - 9cot²θ = 7

7 + 14cot²θ + 7cot⁴θ - 9cot²θ = 7

14cot²θ + 7cot⁴θ - 9cot²θ = 7 - 7

14cot²θ + 7cot⁴θ - 9cot²θ = 0

7cot⁴θ + 14cot²θ - 9cot²θ = 0

7cot⁴θ + 5cot²θ = 0

Factorizing out cot²θ, we have

cot²θ(7cot²θ - 5) = 0

⇒ cot²θ = 0 or 7cot²θ - 5 = 0

⇒ cotθ = ±√0 or 7cot²θ = 5

⇒ cotθ = ±0 or cot²θ = 5/7

⇒ cotθ = ±0 or cotθ = ±√(5/7)

⇒ 1/tanθ = ±0 or 1/tanθ = ±√(5/7)

⇒ tanθ = ±1/0 or tanθ = ±√(7/5)

⇒ tanθ = ±∞ or tanθ = ±√(7/5)

So, the value of tanθ = ±∞ or tanθ = ±√(7/5)

Learn more about trigonometric equation here:

brainly.com/question/28025415

#SPJ1

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2 years ago