Current area is 5ft * 10ft = 50ft^2.
Increasing by x, you have:
Since length must be positive,
The slope of the line is 3/2
It depends on what you know about the triangle.
The usual formula taught in Geometry class is
.. A = (1/2)*b*h
where b is the length of the base, and h is the height (altitude)
If you know two sides (a and b) and the angle between them,
.. A = (1/2)*a*b*sin(θ)
If you know three sides (a, b, c) then Heron's formula applies:
.. s = (a+b+c)/2
.. A = √(s*(s -a)*(s -b)*(s -c))
If you know two sides and an angle not between them, then you can use the Law of Sines to find the angle between them and use the formula above. In some of these cases, the triangle may be incompletely specified, so there may be two different legitimate values for the area.
Answer:
<u>Equation:</u>
Step-by-step explanation:
<u>Step 1:</u>
- Pull out like factors:
<u>Trying to factor as a Difference of Cubes:</u>
- Factoring:
- Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
- (a-b) • (a^2 +ab +b^2)
- Proof : (a-b)•(a^2+ab+b^2) =
- a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
- a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
- a^3+0+0-b^3 =
- a^3-b^3
- Check : g^1 is not a cube !!
- Ruling : Binomial cannot be factored as the difference of two perfect cubes
<u>Equation at end of step 1:</u>
- <u />
<u>Step 2:</u>
- A product of several terms equals zero.
- When a product of two or more terms equals zero, then at least one of the terms must be zero.
- We shall now solve each term = 0 separately
- In other words, we are going to solve as many equations as there are terms in the product
- Any solution of term = 0 solves product = 0 as well.
<u>Solving a Single Variable Equation:</u>
- Solve
- In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
- We shall not handle this type of equations at this time.
<u>Solution:</u>