Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:
(x,y)=((6+2)/2, (3+1)/2)=(4,2)
Now we need to find the radius....the diameter is:
d^2=(6-2)^2+(3-1)^2
d^2=16+4
d^2=20 since d=2r, r=d/2, and r^2=d^2/4 so
r^2=5
The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:
(h,k)=(4,2) from earlier so:
(x-4)^2+(y-2)^2=5
For this case we must find the domain of the following function:
By definition, the domain of a function is given by all the values for which the function is defined.
In this case, the argument of the expression must be greater than 0 to be defined.
Thus, the domain of the function is given by all the values of x greater than -2.
Answer:
Domain: 
Answer:
Step-by-step explanation:
3(x + 4) - 5 = 2x + 4
solve for x
x = -3
Answer:
2/5
Step-by-step explanation:
First by looking, you have a slope going upward to the right so it is a positive slope.
Two points on the line that seem to go directly through the grid at the intersection points are ( -60, -90) and ( 40, -50).
Slope is Rise (y axis) over the Run (x axis). The numbers above have x first and y second.
So the rise is the total distance between -90 and -50 which is 40.
The run is the total distance between 40 and -60 which is a total of 100.
It takes 40 units to get back to the 0 mark on the x axis and the another 60 units to get to the -60 point.
So you slop is 40/100. You can simplify this down to 4/10 or even further to give you 2/5.
