There are 5 squares of dimensions 3 x 3.
5 x (9) = 45 sq. in.
There are 4 right triangles of leg lengths of 6.
4 x (18) = 72 sq. in.
45 + 72 = 117 sq. in.
Answer:
B. 18
Step-by-step explanation:
The 4 machines can produce x units in 6 days. This means they have a daily total rate of x/6 units per day.
Since the machines are similar and that they work at the same rate, this means that the individual rates of each machine would be x/6/4 = x/24 units per day.
Now we are looking at producing 3x units in 4 days. This means that we want to produce 3x/4 units in a single day. Now, since each machine would work at a rate of x/24, we need to know the number of machines we need. To know this number, we simply divide what is to be achieved by the individual rate:
This is 3x/4 divided by x/24. This mathematically means 3x/4 * 24/x = 18 machines
Answer:
x + 4/3x^3
Step-by-step explanation:
y=1/2x^2-2/3x^-2
dy/dx=1/2(2x)-2/3(-2x^-3)
=x+4/3 x^-3
=x+4/3x^3
Answer:
answer is a
Step-by-step explanation:
answer would be a because a reflection does not change the size or shape of any figure
Answer:
( -1 , 26)
Step-by-step explanation:
So since you need to find the other endpoint, you would follow these steps:
1.) 
2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)
3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)
You took the x values of both points and put them in the equation.
And its the same for y
1.) 
2.) 16 = -10 + y
3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)