SQUARE ROOT RELATED - Please show work and/or explanation What is the square root of 180
1 answer:
Answer:
6 or approximately 13.416407865
Step-by-step explanation:
List all of the factors of 180.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Find the perfect squares from the list such as:
1, 4, 9 and 36
Choose the biggest one and divide 180 by it.
180 / 36 = 5
Calculate the square root of your square number
=6
Your answer is 5 (in its simplest radical form)
If you wanted to calculate the answer as a decimal, 5 x = approximately 13.416407865
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The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:
So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
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Yes because 6×6 is 36 and 9×4 is 36.
the blue shows who will get the free apple juice and the red the free popcorn the last one is the 36th person
the blue shows who will get the free apple juice and the red the free popcorn the last one is the 36th person