Answer: 
Step-by-step explanation:
Given:
and 
To find: 
Now as we know

So we have

Therefore d. is the correct option
Hence , 
Answer:
3m - 8
Step-by-step explanation:
Step by Step:
Equation= 6m³ - 16m² + 15m - 40/ 2m² + 5
Factor out 2m² from 6m³ - 16m²:
Factor out 5 from expression:
2m²(3m - 8) + 5(3m - 8)/2m² + 5
Factor out 3m - 8:
(3m - 8)(2m² + 5)/2m² + 5
Rude the fraction with 2m² + 5:
3m - 8 is the answer
I hope this helped!
Step-by-step explanation:
F. X- 12= 7
E. x+ y =18
B. 3y
Given:
The length of a rectangle is 3 cm less than its width.
The area of the rectangle is 270 cm².
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then,

Area of a rectangle is:




Splitting the middle term, we get




Width of the rectangle cannot be negative. So, the only value of x is 18.



Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.