Your first going to find the area of both rectangles then you subtract the small one from the big one
Applying BPT theorem in triangle MNP, which states that, If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.
\frac{MB}{BP}=\frac{MA}{AN}
\frac{x}{96.6-x}=\frac{80.5-35}{35}
\frac{x}{96.6-x}=\frac{45.5}{35}
35x= 45.5(96.6-x)
35x= 4395.3 - 45.5x
80.5x = 4395.3
x=54.6 meters
Option A
If f(x) =
and g(x) =
then 
<em><u>Solution:</u></em>
Given that f(x) =
and g(x) = 
To find: (f - g)(x)
We know that,
(f – g)(x) = f (x) - g(x)
Let us substitute the given values of f(x) and g(x) in above formula,

For solving the brackets in above expression,
There are two simple rules to remember:
When you multiply a negative number by a positive number then the product is always negative.
When you multiply two negative numbers or two positive numbers then the product is always positive.
So the expression becomes,

Combining the like terms,

Thus option A is correct
Answer:
4
Step-by-step explanation:
Let's find a pattern.
2^0=1
2^1=2
2^2=4
2^3=8
2^4=16
2^5=32
2^6=64
2^7=128
2^8=256
So starting after power of 0, the pattern begins at power=1. The pattern is 2,4,8,6 for the units digit. Since the pattern repeats in 4, then we shall divide the power in question by 4 seeking it's remainder.
Remainder=1 implies unit digit is 2 (see 2^1=2)
Remainder=2 implies unit digit is 4 (see 2^2=4)
Remainder=3 implies unit digit is 8 (see 2^3=8)
Remainder=0 implies unit digit is 6 (see 2^4=16)
2014/4 = 503 + 2/4
So remainder=2 implies unit digit is 4.
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:

cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:


At C'(x) = 0




x = 25


where; x = 25

C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.