-6x + 3 + x - 7...when ur adding expressions such as this, and there is a plus sign in between them, the parenthesis are not needed.
we now combine like terms...
-6x + x = -5x
3 - 7 = -4
and we are left with : -5x - 4 <==
Xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4
Answer:

Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,

Thus,

Consider isosceles triangle MSC. In this triangle

The area of this triangle is

Consider right triangle PTS. The area of this triangle is

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
5x - 11 = 3x + 5
Step 2: Solve for <em>x</em>
<u>Subtract 3x on both sides:</u> 2x - 11 = 5
<u>Add 11 to both sides:</u> 2x = 16
<u>Divide both sides by 2:</u> x = 8
Step 3: Check
<em>Plug in x to verify it is a solution.</em>
5(8) - 11 = 3(8) + 5
40 - 11 = 24 + 5
29 = 29