The slope is undefined, because the x values are the same.
Area of parallelogram = base x height
area of large parallelogram
8 x 12 = 96
area of small parallelogram
4 x 6 = 24
96 - 24 = 72
the area of the shaded region is 72 m^2
Answer: 5+sqrt(97)/12, 5-sqrt(97)/12 or we write it as [5+/-sqrt(97)]/(12)
5x=6x^2-3
6x^2-5x-3=0
x=-b+/-sqrt(b^2-4ac)/2a
x=-(-5)+/-sqrt((-5^2-4(6)(-3))/2(6)
x= 5+/-sqrt(97)/12
And decimal form is;
x=1.237, -0.4041
If anyone has any questions please feel free to ask and I’ll reply ASAP. Thanks
2x - 3y = -24
x+ 6y = 18
you solve the first one by the x:
2x = -24 + 3y
x = (-24+3y)/2
then you substitute what you found in the other equation and you solve by y
(-24+3y)/2 + 6y = 18 multiply everything by 2
-24 + 3y + 12y = 36
3y + 12y = 36 + 24
15y = 60
y = 60/15
y = 4
Good job! You found your y! :D
Now let's substitute the y in the first equation with 4:
2x - 3(4) = -24
2x - 12 = -24
2x = -24 + 12
2x = -12
x = -12/2
x= -6
Done!! ;) <span />