Answer: the expression for the width is x + 4
Step-by-step explanation:
The area of the rectangle is expressed as
Area = x² + 13x + 36 square meters.
The length is expressed as
L = x + 9 meters
To determine the expression for the width of the rectangle, we would factorize the expression for the area. Hence
x² + 13x + 36 = 0
We would find two numbers such that their sum or difference is 13x and their product is 36x². The two numbers are 9x and 4x. Therefore,
x² + 9x + 4x + 36 = 0
x(x + 9) + 4(x + 9) = 0
(x + 4)(x + 9)
Therefore, the expression that represents the width of the rectangle is x + 4
4,900 x 0.0725 =355.25
So,
775+355.25= $1 130.30
So she made $1 130.30!
Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:

Therefore:

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:

All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>

Hypotenuse in our case is the radius.

Answer:
(-∞,∞)
Step-by-step explanation:
It is positive for all x
Answer:
the correct answer is 9
Step-by-step explanation:
took the test and it was correct