Answer:
Step-by-step explanation:
To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:
- Square both sides of the equation as following:
- Now you must subtract a² from each side of the equation, then you obtain:
- Apply square root to both sides:
Then:
domain represents the x values so for example in a diagonal line that continues infinitely, the domain is all real numbers or (-infinity, infinity)
range represents y values so it would also be all real numbers or (-infinity, infinity)
let’s say there is a line (refer to pic) that moves ONLY from point (-3, -1) and (2, 2)
the domain would be [-3, 2]
we use brackets because it’s a real number unlike infinity (also because it’s a closed circle on the graph; if the graph had an open circle you would use a parenthesis)
and the range would be [-1, 2]
if you have any more questions about this explanation feel free to ask!
The length of the rectangular delivery box must be equal to 4 inches.
Let the length of the box be L.
Let the width of the box be W.
Let the height of the box be H.
<u>Given the following data:</u>
Translating the word problem into an algebraic expression;
......equation 1
......equation 2.
Mathematically, the volume of a rectangular solid is given by the formula;
.....equation 3.
Substituting the values into equation, we have;
Rearranging the polynomial, we have;
We would apply the remainder theorem to solve the polynomial.
According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.
When x = 3
We would try with 4;
Therefore, 4 is one of its roots.
Hence, the length of the rectangular delivery box must be equal to 4 inches.
Find more information on polynomial here: brainly.com/question/10689855