Answer:
<em>m</em> = 4/5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define Equation</u>
y = 4/5x - 3
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 4/5
y-intercept <em>b</em> = -3
Set each equation equal to zero.
y + 5 = 0
Subtract 5 from both sides.
y = 0 - 5
y = - 5
y - 9 = 0
Add 9 to both sides
y = 0 + 9
y = 9
y = - 5, 9
The volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³
<h3>Density, Mass and Volume </h3>
From the question, we are to calculate the volume of the diamond
Using the formula,
Density = Mass/ Volume
Then, we can write that
Volume = Mass/ Density
From the given information,
Mass of the large diamond = 481.3 grams (g)
Density of the diamond = 3.51 grams/ centimeters cubed (g/cm³)
Putting the parameters into the formula, we get
Volume = (481.8 g)/ (3.51 g/cm³)
Volume = 137.1225 cm³
Volume ≈ 137.1 cm³
Hence, the volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³
Learn more on Density, mass and volume here: brainly.com/question/1762479
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The formula of the area of a trapezoid is equal to:
Area = (a+b) / 2 * h
Substituting the values.
9 = (2.4 + 3.6) / 2 * h
9 = 6 / 2 h
9 = 3h
h = 3
So the height of the trapezoid is equal to 3m.
