Answer:
(1, -2)
(-8, -2)
Step-by-step explanation:
(1 , -6) and (-8 , -6)
1 - (-8) = 9
we know that the length of the side that we know the vertices is 9
from there we make an equation with the sum of the sides equal to the perimeter
we will have 2 times 9 and 2 times x beacause it is a rectangle
x + x + 9 +9 = 26
2x + 18 = 26
2x = 26 - 18
2x = 8
x = 8/2
x = 4
Now that we know the missing side we just have to add or subtract this value to the coordinate in and of the vertices we have and we will obtain the missing vertices
(1, -6 + 4)
(1, -2)
( -8, -6+4 )
(-8, -2)
If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!