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Curated OER
What is the Formula for the Volume of a Sphere?
The formula of a sphere is related to the formula of a cylinder? How? Oh, radius and pi. Watch this video and observe how the instructor illustrates just how these two formulas are connected. Then plug in the known values and solve this...
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How Do You Find the Lateral and Surface Areas of a Cone?
The lateral surface area of a cone. Hmmm, what does that mean? Oh, it means the part you see if the cone was sitting on a flat surface, so it does not include the base. But if you want to include the base then it would be finding the...
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How Do You Find the Area of a Triangle?
The formula for the area of a triangle is: area equals one half the base times the height. If you have been given these two values then all you need to do is plug them into the formula and solve. Don't forget to write the correct ending...
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How Do You Find the Nth Term in an Arithmetic Sequence?
To find the 20th term in an arithmetic sequence, use the secret formula. What secret formula? It's: a sub n equals a sub one plus parentheses n minus one close parentheses times d. Got that? No? The watch this video to learn about the...
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How Do You Write an Equation of a Line in Point-Slope Form If You Have the Slope and One Point?
Given the coordinates for a point on a line and given the slope of that line, write an equation in point-slope form. Really, all that needs to be done is to use the formula for point-slope form and plug in the values.
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How Do You Solve a Word Problem with Exponential Decay?
The instructor first identifies what formula to use to solve this word problem. Then she explains what each of the variables stands for and helps match up their given values in this word problem. There are many components to solving this...
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What's the Midpoint of Two Points on a Number Line?
There are two given values on a number line, what is the midpoint? Here's another formula. Identify the two given points, add them together, and then divide by two and that's the solution. Need proof? Then watch this video as the teacher...
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What Is the Distance Formula?
Find the distance between two points on a coordinate plane. How is that done? Let's take a look at the distance formula. What's the distance formula? Well, it's a form of the Pythagorean Theorem. How? Watch the instructor diagram and...
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How Do You Find the Axis of Symmetry for a Quadratic Function?
Short and simple. X equals negative b divided by two(a) is the formula used to find the axis of symmetry. If the quadratic equation is in standard form, identify the values for a, b, and c and plug the values into the formula. Do the...
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How Do You Write an Equation of a Line in Slope-Intercept Form If You Have the Slope and the Y-Intercept?
If you are given the value for slope (m), and the value for the intercept (b), all you need to do is remember what the slope-intercept form looks like. Y=mx+b. Then you just have to plug the given values into the slope-intercept line of...
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How Do You Write an Equation of a Line in Point-Slope Form If You Have Two Points?
Given two points on a line, write an equation in point-slope form. But what's the slope? Oh, you have to figure out the slope first. That can be done given two points. Just use the rise over run slope formula. This isn't so hard after...
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What's the Direct Variation or Direct Proportionality Formula?
Direct variation? Constant of variation? Constant of proportionality? Two variables related? If one variable changes what happens to the other variable? What do all these terms have to do with each other? Watch this video as the...
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What is a Literal Equation?
Have you ever heard of a literal equation? You might already know of a few! As this video explains, literal equations have multiple variables that often represent known values. Watch the video to learn more!
Curated OER
How Do You Write an Equation of a Line in Slope-Intercept Form If You Have the Slope and the Y-Intercept?
If you are given the value for slope (m), and the value for the intercept (b), all you need to do is remember what the slope-intercept form looks like. Y=mx+b. Then you just have to plug the given values into the slope-intercept line of...
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What is the Formula for the Volume of a Cone?
All you need are a few values to find the the volume of a cone! Watch an informative math video that guides learners through the formula needed, as well as the relationship between the cone's volume and the volume of other...
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How Do You Find the Volume of a Sphere?
The formula for the volume of a sphere is - volume equals four thirds pi times the radius cubed. That's a mouth-full. But if you are given the radius value of the sphere, all you have to do is plug it in and do the arithmetic. Just...
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How Do You Find the Area of a Sector of a Circle?
How do you find the area of a sector of a circle? Use the formula of course. Then all you have to do is plug in the given values and do the math. Make sure you are following the rules of order of operation. The instructor will walk you...
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How Do You Find the Volume of a Box Whose Sides are Monomials?
Length times width times height. Yes, the formula for the volume of a rectangular shape. But the values are monomials. Use the knowledge you have to multiply the monomials and then write it in simplest form.
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What is the Formula for the Volume of a Prism?
Is prism just another mathematical term for a solid? It must be since this lesson is about volume. The teacher illustrates and explains how to find the volume of a rectangular prism and also how to find the volume of a triangular prism....
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What is the Formula for the Area of a Triangle?
The teacher explains how the formula for a triangle was determined. It is related to a parallelogram. What? The formula for the area of a triangle is derived from the area of a parallelogram? Seeing is believing, so watch this video to...
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How Do You Find the Area of a Rectangle Whose Sides are Binomials?
The teachers uses a diagram to set up her initial equation to reflect the changes being made to a garden plot. She has a good explanation of how she got her equation. Then she works through the steps to solve the equation.
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How Do You Write an Equation of a Line in Point-Slope Form and Standard Form If You Have Two Points?
There are a lot of steps in this problem. But just like walking up a flight of stairs, you should take one step at a time, so too in the solving of this problem. The instructor explains each step and what to do to move to the next one.
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What Does Direct Variation Look Like on a Graph?
In a graph of a direct variation, the line must pass through the origin, (0,0). See the teacher illustrate what that looks like on a graph.
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What is the Formula for the Area of a Rectangle?
Area=Length x Width. Locate the value of the length of the rectangle and locate the given width and plug them in to solve. Don't forget to include the units and multiply them too.