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Rashid [163]
2 years ago
10

2. "Eight more than the quotient of a number and -5 is less than or equal to 6."

Mathematics
1 answer:
Olenka [21]2 years ago
6 0

Answer:     $8 + \frac x{-5} \leq 6$

Step-by-step explanation:

Just translate it word-for-word.

"Eight" :   8

"more than" :   +

"quotient of" :   /

"a number" :   x

"-5" :   -5

"is less than or equal to" :   \leq

"6" :   6

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It's important that you share the complete question.  What is your goal here?  Double check to ensure that you have copied the entire problem correctly.

The general equation of a circle is x^2 + y^2 = r^2.  Here we know that the circle passes thru two points:  (-3,2) and (1,5).  Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.


Subst. the known values (of the first point) into this equation:  (-3)^2 + (2)^2 = r^2.  Then 9 + 4 = 13 = r^2.

Let's check this.  Assuming that the equation of this specific circle is 
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.

(1)^2 + (5)^2 = 13 is not true, unfortunately.

(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).

Check the original problem.  If it's different from that which you have shared, share the correct version and come back here for further help.



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