There is a factor of 10p in each term that is common, and thus, you can take them out of each term to yield 10p(p² - 196).
Now, 196 is a perfect square. That is, there is a real number that when multiplied by itself gives 196 (14).
Since p² - 14² is a difference of two squares, we can rewrite it as (p + 14)(p - 14).
So, our factored form is 10p(p + 14)(p - 14)
Answer:






Where h,k represent the vertex and we got:

(5,6)
Step-by-step explanation:
We have this original function given :

And we want to find the vertex for this new function
and we have:

And solving the square we got:

And adding similar terms we got:

Now we can complete the square like this:


The general equation is given by:

Where h,k represent the vertex and we got:

(5,6)
All of a triangles angles added up make 180. when theres a 90, its a lot easier, all you have to do is take 180-90 which is 90 and divide 90 by 2 because there are two unknown angles which is 45 and angle A is slightly bigger than angle B (we'll say about 5 degrees bigger) so the answer would be 3) 50
We can use the system of equations:x + y = 217x - y = 85-----------------From the 2nd equation: y = x - 85x + x - 85 = 2172 x = 217 + 852 x = 302x = 302 : 2x = 151y = 217 - 151y = 66We can prove this solution:151 + 66 = 2017 and 151 - 66 = 85.Answer: those numbers are 151 and 66.
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