Distributive property is used when you have a number outside a set of numbers in parenthesis.
Using the distributive property, you multiply the number outside the parenthesis by each number inside the parenthesis.
The first answer is correct because they are multiplying 9 by 20 and adding it to 9 multiplied by 6.
The formula of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the center. Since (-7,-1) is the center, we have (x+7)^2+(y+1)^2=r^2. To find the radius, we need to find the distance between (-7,-1) and (8,7). Using the distance formula, we get the radius is 17 (make a right triangle with height 8 and base 15). Now, we have (x+7)^2+(y+1)^2=289. Plug in -15 for x and we have (y+1)^2+64=289. (y+1)^2=225. y+1=+-15. y=14, -16. So the Y is 14 and -16.
A real-world situation to model the number line is: It was colder on Friday night than Saturday morning because 0 is greater than -1
<h3>How to interpret the number line?</h3>
See attachment for the number line
From the figure, we have the following points
0 and -1
The number line can be modelled by temperature where a colder temperature is represented by 0, while the other temperature is -1 degrees Celsius
Hence, a complete scenario is:
On a Friday night, the measure of the temperature is 0 degrees Celsius. On Saturday morning, the temperature is -1 degree Celsius. It was colder on Friday night than Saturday morning because 0 is greater than -1
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