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2 years ago

Original Slope __ Perpendicular Slope

Mathematics

1 answer:

ololo11 [35]2 years ago

5 0

Answer:

-1/2, 2

Step-by-step explanation:

Use rise/run to find the original slope of this function. The rise is -1 and the run is 2, so you divide these and get -1/2. To find the perpendicular slope, flip the sign (from negative to positive) and find the reciprocal of this (1/2 becomes 2 because you flip the fraction).

Original slope: -1/2

Perpendicular slope: 2

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How many kilograms in 10 lbs

marissa [1.9K]

There are 4.53592 kilograms in 10 lbs.

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2 years ago

Read 2 more answers

D Evaluate arcsin (6)] at x = 4. dx

sineoko [7]

Answer:

$\frac{1}{2\sqrt{5} }$

Step-by-step explanation:

Let, $\text{sin}^{-1}(\frac{x}{6})$ = y

sin(y) = $\frac{x}{6}$

$\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})$

$\frac{d}{dx}\text{sin(y)}=\frac{1}{6}$

$\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}$ ---------(1)

$\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}$

$\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}$

cos(y) = $\sqrt{1-\text{sin}^{2}(y) }$

= $\sqrt{1-(\frac{x}{6})^2}$

= $\sqrt{1-(\frac{x^2}{36})}$

Therefore, from equation (1),

$\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}$

Or $\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}$

At x = 4,

$\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}$

$\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}$

$=\frac{1}{6\sqrt{\frac{36-16}{36}}}$

$=\frac{1}{6\sqrt{\frac{20}{36} }}$

$=\frac{1}{\sqrt{20}}$

$=\frac{1}{2\sqrt{5}}$

4 0

2 years ago

Answers...............

umka21 [38]

Answer: Two acute angles

7 0

2 years ago

Due to gravity, an object falls 16t^2 feet in t seconds. You drop a backpack from a window that is 20 feet above the ground. Wil

sukhopar [10]

Answer:

Step-by-step explanation:

Let h(t) represent the distance the pack is located above the ground at time t. Then h(t) = 20 ft - 16t^2 ft. Notice how h = 20 ft (the initial height) and that it decreases as t increases.

How long does it take for the pack tohit the ground? Set h(t) = 0 and solve for t:

0 ft = 20 ft - 16t^2 ft yields 16t^2 ft = 20, or t^2 ft = 20/16, which is greater than 1. So the question "Will the backpack hit the ground in 1 second" is answered by NO.

3 0

2 years ago

0.42 is 15% of what number

julia-pushkina [17]

Answer:

2.8

Step-by-step explanation:

You have to divide 0.42 by 15%.

0.42 / 15% = 2.8

6 0

2 years ago

Original Slope ______ Perpendicular Slope____

Original Slope __ Perpendicular Slope