B= (3,6) and D= (18,9)
Step-by-step explanation:
To find the midpoint of two given points add X1 and X2 together, then divide by 2 to get the X value of the midpoint and do the same thing for the Y value. That will get you B. From there you can see to get from point A to point C you add 10 to the x value and add 2 to the y value. Because C is the midpoint just double what you had to add to get point D (add 20 to x and add 4 to y)
Answer:
x=16
Step-by-step explanation:
We are given that

we have to solve this equation for x
in order to do that we need to isolate x first
hence
subtracting 11 from both sides we get


Now we square on both sides we get



hence x =16
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
÷
=
· 
= -27
2. Divide both sides by 2:
2(x - 9) = -27

(x - 9) = 
3. Add 9 to both sides:
x = 
(or 4.5 if you need it in decimal form)
hope this helps!
Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then

,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since

, f(6) = 5
Answer: 5
1st part: 3x9x3
2nd part: 3x6x9
3rd part: add the product of those two steps
you have to break it down into two rectangular prisms and find the volume of each and then add