Step-by-step explanation:
First, let's move the 
to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the 
term is 
, we know the square will be 
(since 
it's half of ).
To complete this square, we will need to add 
to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :
Answer:
y = 5x/2 + 2
Step-by-step explanation:
We know the equation for slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since we have the coordinates of one point on this line and the slope, we can substitute that in and find b first:
y = mx + b
-8 = 5/2(-4) + b
-8 = -10 + b
b = 2
So we can use the slope and this y intercept we found to plug back into the equation:
y = mx + b
y = 5x/2 + 2
Answer:
(5,-4)
Step-by-step explanation:
Move the point T three units to the right. It's (x, y), so (5,-4) is the answer.
The formula for circumference = 2*Pi*r
R= radius. Radius is half of the diameter, and d= 20. This means that radius = 10. Now we have a full formula to work with.2*Pi*10.
Substitute 3.14 for pi.
3.14 * 10 = 31.4.
31.4*2 = 62.8.
62.8 rounded equals 63.
C = 63.
