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3 years ago

identify an equation in point slope form for the line perpedicular to y=1/4x-7 that passes through (-2,-6)

Mathematics

1 answer:

Art [367]3 years ago

6 0

Answer:

perp. -4

y + 6 = -4(x + 2)

y + 6 = -4x - 8

y = -4x - 14

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A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast

Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

$x^2+16^2=34^2$

$x^2=34^2-16^2$

$x^2=900\\\\x=30$

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

$x^2+16^2=y^2$

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

$2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}$

We have been given that $\frac{dx}{dt}=5$ , $y=34$ and $x=30$ .

$2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}$

$300=68\cdot \frac{dy}{dt}$

$\frac{dy}{dt}=\frac{300}{68}$

$\frac{dy}{dt}=4.4117647058823529$

$\frac{dy}{dt}\approx 4.41$

Therefore, the man must let out the string at a rate of 4.41 feet per second.

8 0

4 years ago

Simplify urgently : (8x^2-5x+1)-(3x^2-x+4)!!

azamat

Answer:

5x^2 + 4x -3x

Step-by-step explanation:

we will simply open the brackets and

simply solve them according to signs they are having

6 0

4 years ago

Read 2 more answers

The university police department keeps track of the number of tickets it write in a year. Last year the campus police wrote 1460

AlladinOne [14]

Answer:

Step-by-step explanation:

We are given that Ticket writing on campus follows a Poisson process.

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So, $X \sim Poisson (1460 / year)$

1 year = 365 days

So, E(Y) = $\frac{1460}{365}=4$

So, the standard deviation of the number of tickets written per day by the campus police = $\sqrt{4} =2$

Hence the standard deviation of the number of tickets written per day by the campus police is 2

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3 years ago

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tiny-mole [99]

FIRST PAGE: 20, 40, 20

SECOND PAGE: 15, 3, 6, 2 x 2 x 2 x 11

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3 years ago

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What will it cost to cover a rectangular floor measuring 40 feet by 50 feet with square titles that measure 2 feet on each side

ahrayia [7]

$650. You start with finding how many square feet the floor and the tiles are. 40x50=2000 square feet for the floor and 2x2=4 square feet for the tile. You then take 2000/4=500 to get the amount of tiles that you will need. After that, you take 500/10=50 to get the number of packages you will need. The final step is taking 50x13=$650 to get the total cost

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4 years ago

identify an equation in point slope form for the line perpedicular to y=1/4x-7 that passes through (-2,-6)​

identify an equation in point slope form for the line perpedicular to y=1/4x-7 that passes through (-2,-6)