Answer: The answer is -1/8 :)
Division yields
Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that
which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then
Now, in the integral we get
The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get
Answer: x=-3x-3 y=-1/3-6
Step-by-step explanation:
-6x-2y-6=0 -6x-2y-6=0
+6x +6x +2y +2y
-2y-6=6x -6x-6=2y
+6 +6 +6 +6
-2y=6x+6 -6x=2y+6
________ __________
-2 -6
y=-3x-3 x= -1/3y-6
Answer:
f ( -2 ) = 30
g ( -2 ) = 3
Step-by-step explanation:
when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:
f(x) = -7(-2-2) +2 g(x) = 2(-2)^2 -5
f(x) = -7(-4) +2 g(x) = 2(4) -5
f(x) = 28 + 2 g(x) = 8 - 5
f(x) = 30 g(x) = 3
hope this helps!!
Answer:
500 square units.
Step-by-step explanation:
The hexagon is composed of two trapezoids (both of which are congruent). Let's find the area of the top trapezoid
A = h*(b1+b2)/2
A = 10*(40+10)/2
A = 10*(50)/2
A = 500/2
A = 250
Each trapezoid has area of 250 square units. So the combined area is 2*250 = 500 square units.
