164 sq. Meters is the area of the figure
It is proportional because the relationship between gallons of gas and distance is constant and linear. The rate is 32 miles per gallon. You can also call 32 the slope of this linear relationship.
Hello there.
First, assume the numbers such that they satisties both affirmations:
- The sum of the squares of two numbers is .
- The product of the two numbers is .
With these informations, we can set the following equations:
Multiply both sides of the second equation by a factor of :
Make
We can rewrite the expression on the left hand side using the binomial expansion in reverse: , such that:
The square of a number is equal to if and only if such number is equal to , thus:
Substituting that information from in , we get:
Calculate the square root on both sides of the equation:
Once again with the information in , we have that:
The set of solutions of that satisfies both affirmations is:
This is the set we were looking for.
Answer:
60.84 cm²
Step-by-step explanation:
The formula for the area of a square is:
A=s²
A=7.8²
A=60.84 cm²
The functions and their matching properties are:
- y = (1/4)ˣ: y-intercept at (0,1); graph approaches 0 as x increases
- y = 2(1/2)ˣ: y-intercept at (0,2); graph approaches 0 as x increases
- y = 3ˣ: y-intercept at (0,1); graph approaches positive infinity as x increases
<h3>How to match the functions with their properties?</h3>
The functions are exponential functions;
Exponential functions are represented using:
y = abˣ
Where a represents the y-intercept.
Also, when b is less than 1, the graph would approach 0 as the x value increases, otherwise it approaches positive infinity.
This means that the graphs of y = (1/4)ˣ and y = 2(1/2)ˣ would approach 0 as the x value increases
Read more about functions at:
brainly.com/question/27846142
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