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.
No it's a lot easier to use percent equation because it's easier to correct if wrong and you can get a better understanding of percent equation.
49, because 7 one sevenths in a pounds, so 7x7=49 :)
Answer:
The flagpole is 24 feet tall hope it helps
Answer:
The equation of the line is:
The graph is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
From the straight line on the graph, taking two points
Finding the slope between (0, 3) and (-1, 0)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [0 - 3] / [-1 - 0]
= -3 / -1
= 3
Thus, the slope of the line = m = 3
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 3
Thus, the y-intercept b = 3
Now, substituting slope m = 3 and y-intercept b = 3 in the slope-intercept form
y = mx+b
y = 3x+3
Therefore, the equation of the line is:
The graph is also attached.