Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
= 
= 
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer:
-1 3/4
Step-by-step explanation:
3/4 + (-2 1/2)
3/4 - 2
-1 3/4
Answer:
4/(√7 + √3)
Step-by-step explanation:
=> Multiply and divide by (√7-√3)
=> 4(√7 - √3)/((√7 + √3)(√7 - √3)
=> 4(√7 - √3)/((√7)² - (√3)²)
=> 4(√7 - √3)/((7) - (3))
=> 4(√7 - √3)/4
=> √7 - √3
2p-1q is the answer
5p+2q-3p-3q
isolate the variables:
5p-3p+2q-3q
simplify:
2p-1q
that is the answer!
hope I helped! :)
