Answer:

Step-by-step explanation:
We are given

Let's assume it can be factored as

now, we can multiply right side
and then we can compare it


now, we can compare coefficients



now, we can find all possible factors of 48
and then we can assume possible prime factors of 48





Since, we have to find the largest value of n
So, we will get consider larger value of r because of 5r
and because n is negative of 5r+s
so, we will both n and r as negative
So, we can assume
r=-48 and s=-1
so, we get


parallel lines have the same slope
The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"
They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3
You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6
So far we have y=-5/6x + b
We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"
Replace that on the equation y=-5/6x + b and you get
-1 = (-5/6)(6) + b
-1 = -5 +b
4 = b
b = 4
We found b, or the y-intercept
Go back to the equation y = -5/6 x + b and replace this b with the b we just found
y = -5/6x + 4
Answer:
1654,1655,1656,1657,1658,1659,1660
Step-by-step explanation:
They all come after the value of 1653
Answer:
(x-2)^2 +(y+3)^2 = 16
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 +(y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-2)^2 +(y- -3)^2 = 4^2
(x-2)^2 +(y+3)^2 = 16