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3 years ago

Determined to find the slope(1 7K), and (-3,5K)

Mathematics

1 answer:

Helga [31]3 years ago

8 0

Answer: $\dfrac{K}{2}$ .

Step-by-step explanation:

As we know ,

The slope of a line that passes through $(x_1,y_1)$ and $(x_2,y_2)$ is given by :

$\dfrac{y_2-y_1}{x_2-x_1}$

The slope of a line that passes through (1 , 7K), and (-3,5K) =

$\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}$

Hence, the slope of the given line is $\dfrac{K}{2}$ .

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3 years ago

(a^3)^6 = (a^2)^x what is x?

alexgriva [62]

Answer:

Step-by-step explanation:

Solution

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3 years ago

Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i

Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

$\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}$

Find $\frac{dr}{dt}$ when diameter D = 20 cm.

We know that the volume of a sphere is given by

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

Taking the time derivative of V, we get

$\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}$

Solving for $\frac{dr}{dt}$ , we get

$\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})$

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3 0

3 years ago

Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1

solong [7]

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Answer: $\textsf{(1, 1) is NOT a solution of the inequality}$

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Given: $y \le-3x + 1$

Find: $\textsf{Determine if (1, 1) is a solution of the inequality}$

Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

<u>Plug in the values</u>

$y \le-3x + 1$

$1 \le-3(1) + 1$

<u>Simplify</u>

$1 \le-3 + 1$

$1 \le-2$

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.

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1 year ago

PLEASE HELP!!! worth 15 POINTSSS

Readme [11.4K]

Answer: i need the answer too please quys answer

Step-by-step explanation:

3 0

3 years ago

Determined to find the slope(1 7K), and (-3,5K)​

Determined to find the slope(1 7K), and (-3,5K)