If 9(1-x) = 27 and x - y = -11/2, find the value of x + y.

Step-by-step explanation:

Given equation are:

9(1-x)=27(1)

x-y=-11/2(2)

Now, solving equation (1)

9-x=27

9-27=X

-18=X

X=-18

substituting X=-18 in equation (2)

-18-y=-11/2

-36-2y=-11

-2y=36-11

-2y=25

y=-25/2

again, by question,

X+Y=-18+(-25/2) [Substituting the values of xand y]

=-18-25/2

=(-36-25)/2

=-61/2

up

step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3