Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is
Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;
The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;
Comparing to:
The center is (-3,2) and the radius is r=2
1. Since it's m - 7 you would have 7 to both sides so you would in fact have m < 13. If you double check your answer, you see that if m is say 12 (because 12 is obviously less than 13), 12 - 7 < 6
2. Again, use the same process on this problem as the first one. Add 8 to each sides because it's you're subtracting 8 from n. So you end up with n > 13. Check your answer. Say n is 14. 14 - 8 > 5
3. This one is different because you are adding 5 to p. So in order to get p by itself, you need to subtract 5 from both sides. p < 5. Say p is 4, 4 + 5 < 10.
When working with problems like these, you need to isolate the variable on one side and get it by itself.
Answer:
48 pieces are cut.
Step-by-step explanation:
1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.
The first number in the bracket is the x coordinate, the second is the y
So substitute the x and y in to get
8=-5(3)+1 which is 8=-14 which isnt true so the answer is no
Answer
1st is yes
2nd is no
Step-by-step explanation:
