3 years ago

Which is an equation for a line that is perpendicular to the graph of a line y=2x-3

Mathematics

1 answer:

DochEvi [55]3 years ago

8 0

y = -1/2x - 3 is the correct equation

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A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

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Find the common ratio of the geometric sequence<br> 3/8, -3, 24, – 192,

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Answer:

Common ratio = -8

Step-by-step explanation:

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Quadratic equation x² - 5x+6=0

Nadusha1986 [10]

Answer: X=6-1

Step-By-Step Equation:

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Ciara is making a new dance outfit for a dance performance in her high school. She needs 2 1/2 yards of fabric for the shawl. Sh

sergey [27]

Answer:

1 1/4 yards of fabric

Step-by-step explanation:

2 1/2+ 1 3/4=4 1/4

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A sphercial water tank has a diameter or 32 ft. How much water can the tank hold to the nearest gallon.(Hint 1ft=7.48) what is the weight of the water in the cylinder?

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3 years ago