The diagonal of a right rectangular prism is the line that connect opposite vertices. In other word is the distance from corner to corner in the right rectangular prism. Since the diagonal of a right rectangular prism is the hypotenuse of a right triangle, we are going to use a variation of the Pythagorean theorem to find it. In essence, we just need to add another dimension to the Pythagorean theorem; in this case the height of our prism:
We can conclude that the formula to calculate the length of the diagonal of a right rectangular prism is:
where
is the length of the diagonal.
is the length of the rectangular base of the prism.
is the width of the rectangular base of the prism.
is the height of the prism.
Answer:Let's say you're being asked to solve for y and the problem looks like this: 16x+4y=20. Basically what's being asked here is to get all the numbers on the other side of the equal sign so that y is by itself, i.e. y=(all the other things you've put on the other side of the equal sign).
Step-by-step explanation:
Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.
The answer is to your math problem is -33.2
Simplifying
x4 + 7x3 + 12x2
Reorder the terms:
12x2 + 7x3 + x4
Factor out the Greatest Common Factor (GCF), 'x2'.
x2(12 + 7x + x2)
Factor a trinomial.
x2((4 + x)(3 + x))
Final result:
x2(4 + x)(3 + x)
(x + y)^2 = (x^2 - 2xy + y^2)
First distribute the ^2 on the left side of the equation to each term inside the parenthesis:
x^2+ 2xy + y^2
Now pick one of the variables to solve for and isolate it:
(solving for x)
x^2 + 2xy + y^2 = x^2 - 2xy + y^2
x^2+ 2xy = x^2 - 2xy
2xy = -2xy
-x = x
x = 0
When you solve for y in the equation it will turn out to be 0 as well