You have to complete the square on this to get it into standard form of a circle. Move the 8 over to the other side because that's part of the radius. Group together the x terms, take half the linear term which is 8, square it and add it in to both sides. Half of 8 is 4, 4 squared is 16, so add in 16 to both sides. I'll show you in a sec. You don't need to do anything to the y squared term. This just means that the center of the circle does not move up or down, only side to side, right or left. Here's your completing the square before we simplify it down to its perfect square binomial.
. Now break down the parenthesis into the perfect square binomial and do the addition of the right:
. This is the standard form of a circle that has a center of (4, 0) and a radius of
Answer:
The equation of the line is.
Step-by-step explanation:
Given:
The given points are (0, -4) and (-4, 6)
The equation of the line passing through the points 
and 
is.
Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is
The above equation is divided by 2 both sides.
Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is
Answer:
a. 0.927 b. 0.27 c. 0.298 d. 2.411 e. 2.232 f. 1.68 g. 3.426 h. 3.03 i. 1.9 j. 4.538
Step-by-step explanation:
Well if you get 60 dollars every day we can represent that as 60d
We can set that equal to 289999 to solve for days, d.
289999 = 60d
289999/60 = d
4,833.3166667 = d
So 4,834 total days
Inequation:
90x-150y>=700
x<=40
y<=62
x is the days she works and y is the days she travels.
equation:
90x-150y=700 (although the equation will be less accurate than the inequation)
