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Lorico [155]
3 years ago
11

Determine the density in g/cm3 of a mineral that has a volume of 3.8 cm3 and a mass of 22.4 g.

Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

= 5.89 g/cm³

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Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
amm1812

The equation of the line in standard form is 3x - 5y = 26

Step-by-step explanation:

Let us revise the forms of the linear equation

  • The slope intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept
  • The point-slope form is y-y_{1}=m(x-x_{1}) , where m is the slope of the line and (x_{1},y_{1}) is a point on the line
  • The standard form is Ax + By = C, where A, B, and C are constant
  • The general form is Ax + By + C = 0, where A, B, and C are integers

∵ The line passes through point (2 , -4)

∵ The slope of the line is \frac{3}{5}

- Let us using the point-slope form and then change it to the

  standard form

∵ x_{1} = 2 and y_{1} = -4

∵ m = \frac{3}{5}

- Substitute these values in the form of the equation below

∵ y-y_{1}=m(x-x_{1})

∴ y-(-4)=\frac{3}{5}(x - 2)

∴ y+4=\frac{3}{5}(x - 2)

Let us change it to standard form

- Multiply each side my 5 to cancel the denominator in the

   right hand side

∴ 5(y) + 5(4) = 3(x - 2)

- Simplify the two sides

∴ 5y + 20 = 3x - 6

- Add 6 to both sides

∴ 5y + 26 = 3x

- Subtract 5y from both sides

∴ 26 = 3x - 5y

- Switch the two sides

∴ 3x - 5y = 26

The equation of the line in standard form is 3x - 5y = 26

Learn more:

You can learn more about the linear function in brainly.com/question/12363217

#LearnwithBrainly

6 0
3 years ago
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