The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
<h3>How to determine the possible length of the third side?</h3>
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
brainly.com/question/2403556
Step-by-step explanation:
Reflection on x-axis;
A(4,-5)=A'(4,5)
To set up or model a linear equation to fit a real-world application, we must first determine the known quantities and define the unknown quantity as a variable. Then, we begin to interpret the words as mathematical expressions using mathematical symbols. Let us use the car rental example above. In this case, a known cost, such as $0.10/mi, is multiplied by an unknown quantity, the number of miles driven. Therefore, we can write
0.10
x
. This expression represents a variable cost because it changes according to the number of miles driven.
If a quantity is independent of a variable, we usually just add or subtract it according to the problem. As these amounts do not change, we call them fixed costs. Consider a car rental agency that charges $0.10/mi plus a daily fee of $50. We can use these quantities to model an equation that can be used to find the daily car rental cost
C
.
C
=
0.10
x
+
50
When dealing with real-world applications, there are certain expressions that we can translate directly into math. The table lists some common verbal expressions and their equivalent mathematical expressions.
Answer:
-9
Step-by-step explanation:
do distributive property first to eliminate the parenthesis.
5h + 22 - 2h = -5
combine like terms
3h + 22 = -5
move the 22 over by subtraction
3h = -27
divide
h = -9
Answer:
Therefore last week Yvette used 72 grams of tea leaves to make 288 ounces of tea.
Step-by-step explanation:
i) 6 grams of tea leaves are used to make 24 ounces of tea.
ii) 1 gram of tea leaves can be used to make 
iii) number of grams of tea leaves to make 288 ounces of tea
The answer is 72 grams of tea leaves are required to make 288 ounces of tea.
Therefore last week Yvette used 72 grams of tea leaves to make 288 ounces of tea.
