Answer: y = 2
Step-by-step explanation:
we need to use systems of equations, basically since we know what x equals, we plug that into first equation so:
since x=2y+1,
we can say that:
(2y+1)+2y=9
then we solve this equation,
first we expand the brackets- 2y+1+2y=9,
then we combine like terms- 4y+1=9
then we take 1 away from both sides- 4y=8
then we divided both sides by 4
y=2
Hope this helps xx
The equation for midpoint is
((x1+x2)/2 , (y1+y2)/2) = ((1+3)/2 , (-2+2)/2)
= ( 2,0)
If you draw out the polygon with the vertices given, you'll see a trapezoid with one base of 6 units long, one base of 4 units long and a height of 4 units.
Using the formula for area of a trapezoid : h(b1 + b2)/2
h is the height, b is the base
After inputting your numbers into the formula you get, 4(4+6)/2
Which comes out to be 4(10)/2 or 40/2
Which will get you the answer, 20.
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