3 years ago

10

Mathematics

1 answer:

bija089 [108]3 years ago

8 0

Answer:

Step-by-step explanation:

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What is the speed (approximately) of a 2.5-kilogram mass after it has fallen freely from rest through a distance of 12 meters?

Norma-Jean [14]

Answer:

15.3 m/s

Step-by-step explanation:1) Find the gravitational potential energy using the equation :

$PE_g=mgh$

$PE_g=2.5(12)(9.8)\\PE_g=294$

2) Then use the equation for kinetic energy to solve for the velocity:

$KE=\frac{1}{2} mv^{2}$

$294=\frac{1}{2}(2.5)(v^2)\\235.2=v^2\\\sqrt{235.2} =v\\15.3 m/s=v$

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3 years ago

A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

Hoochie [10]

Answer:

d) The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

Step-by-step explanation:

Step(i):-

Given points are ( 0, -4) and (2 ,0)

slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}$

Step(ii):-

The equation of the line passing through the point ( 0,-4) and having slope

$m = \frac{-1}{2}$

$y - y_{1} = m ( x - x_{1} )$

$y - (-4) = \frac{-1}{2} ( x - 0 )$

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

$y = \frac{-x}{2} - \frac{8}{2}$

$y = \frac{-x}{2} - 4$

Final answer:-

The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

5 0

3 years ago

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A shelf measures 720 mm long.

snow_lady [41]

A how many centimeters long is the shelf

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3 years ago

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Compare greter or less than remember they are negative numbers and positive numbers.

mihalych1998 [28]

-0.9 then 0.74. -0.9 then 0.7
5. -9.87 then 9.08

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3 years ago

Lance rides his bike downhill at a pace of 60 miles per hour. When Lance is riding uphill, he rides 8 miles per hour slower than

kvv77 [185]

Answer:

7mph

Step-by-step explanation:

downhill=60mph

f=60mph/4=15mph

u=f-8mph=15mph-8mph=7mph

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3 years ago