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2 years ago

Find the value for X (x,2) and (-5,8), and m= -1

Mathematics

1 answer:

Softa [21]2 years ago

3 0

Answer:

x = 1

Step-by-step explanation:

(y2 - y1) / (x2 - x1) = m

(x,2)....x1 = x and y1 = 2

(-5,8)...x2 = -5 and y2 = 8

now sub

(8 - 2) / (-5 - x) = -1

6 / (-5 - x) = -1 .....multiply both sides by (-5 - x)

6 = -1(-5 - x)

6 = 5 + x

6 - 5 = x

1 = x

lets check it..

(y2 - y1) / (x2 - x1) = -1

(8 - 2) / (-5 - 1) = -1

6 / -6 = -1

-1 = -1 (correct)...so it checks out

x = 1

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2 years ago

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2 years ago

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wlad13 [49]

Length is 48 ft

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3 years ago

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2 years ago

400.0 ml of a gas are under pressure of 80.0 kpa what would the volume of the gas be at a pressure of 100.0 kpa

Ber [7]

Answer:

The final volume is 320 mL at pressure of 100 kPa.

Step-by-step explanation:

Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

$V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2$

Let

$V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa$

We need to find $V_2$ . Using above equation, we get :

$V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL$

So, the final volume is 320 mL at pressure of 100 kPa.

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2 years ago