You can write the dimensions of the rectangle as (x + 2) and (x - 5), and because the area is base × height, you can multiply the brackets together and make it equal to 56:
(x + 2)(2x - 5) = 56
2x² + 4x - 5x - 10 = 56
x² - x - 10 = 56
Now because you have an x², you need to make the equation equal to 0 so you can factorise, so:
2x² - x - 10 = 56
- 56
2x² - x - 66 = 0
(x - 6)(2x + 11)
So x is 6, because the other option is -5.5 and you cannot have a negative length.
I hope this helps!
Ana is false. The answer is 7/16 because 7*1=7 and 8*2=16
Answer:
b
Step-by-step explanation:
Answer:
3n
Step-by-step explanation:
number of students (n) times number of pencils (3)
Answer:
The required inequality is
.
Step-by-step explanation:
The given inequalities are


where, x is the driver's age (in years), A(x) is driver’s reaction time to audio stimuli and V(x) is his or her reaction time to visual stimuli, 16 ≤ x ≤ 70.
We need to find an inequality that can be use to find the x-values for which A(x) is less than V(x).



Combine like terms.

where, 16 ≤ x ≤ 70.
Therefore, the required inequality is
.