The x values are the same for both green dots, so you are looking at a simplified version of the distance formula.
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Since x1 = x2 = 5, the first set of brackets = (5 - 5) = 0
d = sqrt( y2 - y1)^2 )
d = y2 - y1
y2 = 5
y1 = - 1
d = 5 - - 1
d = 6 Answer
Well 2.5 + 2.5 is 5 so 5 - 2.5 is 2.5
There is a theorem that says that, two tangent lines onto a circle that start from the same point are equal. For example, if we were to label the polygon ABCD, the tangent lines going from point A are equal, the lines going from point B are equal, etc.
Since we now know this rule, we can see that, for each point of the polygon you are given 1 out of 2 tangent lines for that point. Using this theorem, we can say that the other tangent line is equal to the first.
So, the bottom two tangents are 98 and 98, the right-side are both 22 and 22, the top are both 27 and 27, and the left are 22 and 22. We need to find the perimeter, or the sum of all the sides of the polygon. Seeing as the sides of the polygon are formed by all the tangent lines, we just have to find the sum of all the tangent lines.
98 + 98 + 22 + 22 + 27 + 27 + 22 + 22 =
= 196 + 88 + 54 (or 2*98 + 4*22 + 2+27) =
= 338 inches
I hope this wasnt too confusing.
Answer:
8+ 33
Step-by-step explanation:
8+33=41
8 (the smaller number) times 4 equals 32.
The number 33 is one more than 32.
Hope this helps!
You are solving the two equations for x.
9.
r = 4 + 7x - sx
We need to solve for x. x is only found in the right side. First, just flip the sides to find x only in the left side.
4 + 7x - sx = r
We want all terms with x on the left side, and all terms without x on the right side. Now we subtract 4 from both sides.
7x - sx = r - 4
Factor x in left side.
x(7 - s) = r - 4
Divide both sides by 7 - s.

12.
3z + 8 = 12 + 3x - z
Since x is only in the right side, flip the sides.
12 + 3x - z = 3z + 8
We need to isolate x in the left side, so subtract 12 from both sides and add z to both sides.
3x = 3z + 8 - 12 + z
3x = 4z - 4
Divide both sides by 3.
