All High School Math Resources
Example Questions
Example Question #12 : How To Multiply Polynomials In Pre Algebra
Combine into a single simplified fraction:
Multiply to get a common denominator:
Next, using FOIL (first, outer, inner, last) remove the parantheses and then combine like terms to get:
Example Question #11 : How To Multiply Polynomials In Pre Algebra
Simplify .
Use the distributive property:
Example Question #1071 : High School Math
Multiply to find the polynomial.
Multiply using the FOIL method.
First:
Outside:
Inside:
Last:
Add the terms together to get the final expression.
Example Question #1072 : High School Math
Multiply to find the polynomial.
Multiply using the FOIL method.
First:
Outside:
Inside:
Last:
Add the terms to get the final expression.
Example Question #1073 : High School Math
What is of
?
Convert % to a decimal, which is
.
Then multiply by
to get
.
Example Question #1074 : High School Math
What is the product of and
?
In order to simplify this problem distribute to each component of
.
Distribute.
Multiply and simplify.
Example Question #18 : How To Multiply Polynomials In Pre Algebra
The length of a particular rectangle is greater than the width of the rectangle. If the perimeter of the rectangle is
, what is the area of the rectangle?
If the width is , then the length is
. The perimeter equals
, so
.
solving for , we have
, the width, so the length is
.
Then, to find the area we multiply times
, which equals
.
Example Question #472 : Plane Geometry
An equilateral triangle has a side length of . What is the triangle's height
?
Not enough information to solve
The altitude, , divides the equilateral triangle into two
right triangles and divides the bottom side in half.
In a right triangle, the sides of the triangle equal
,
, and
. In these equations
equals the length of the smallest side, which in our triangle is
or
.
In this scenario:
and
Therefore,
Example Question #201 : Triangles
An equilateral triangle has a side length of . What is its height,
?
Not enough information to solve
An altitude slices an equilateral triangle into two triangles. These triangles follow a side-length pattern. The smallest of the two legs equals
and the hypotenuse equals
. By way of the Pythagorean Theorem, the longest leg or
.
Therefore, we can find the height of the altitude of this triangle by designating a value to . The hypotenuse of one of the
is also the side of the original equilateral triangle. Therefore, one can say that
and
.
Example Question #1 : How To Find The Height Of An Equilateral Triangle
What is the height of an equilateral triangle with side 6?
When you draw the height in an equilateral triangle, it makes two 30-60-90 triangles. Because of that relationship, the height (which is across from the ) is
.
All High School Math Resources
