X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
3x + 9 + 3x =15
6x + 9 = 15
- 9 = -9
6x = 6
/6 /6
X =1
Answer:
It would be constant.
Step-by-step explanation:
Since there is no x value, the line will have no slope and just be horizontal about y= -2.
Answer:
The solution is 
Step-by-step explanation:
The equation
can be rewritten as
and can be further simplified to
.
Now, taking the inverse sine of both sides we get:
The value of the right side on the interval 
is
,
which makes the equation (2)
solving for 
gives
which is our solution.
Answer:
(1,-44), (2,-48),(3,-52).......
Step-by-step explanation:
4(1)+y=-40
4+y=-40
y=-40-4
y=-44
(1,-44)
.
.
.
