Answer: 3<em>n</em> ants
Step-by-step explanation:
If there are n ants one month, and the ants triple every month, then next month there will be 3<em>n</em> ants.
We can multiply 3 by <em>n</em> to show it tripling.
To test this, 3(10,000) = 30,000 and 3(270,000) = 810,000, which corresponds to what you've filled out in the table.
Answer:
89,86,83
Step-by-step explanation:
92-80=12
12÷4=3
80+3=83
83+3=86
86+3=89
Answer:
X= 1/2
Step-by-step explanation:
-3x+7x=2
4x = 2
4x/4 + 2/4
X= 1/2
Answer:
Option (C)
Step-by-step explanation:
If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.
By the property of perpendicular lines,
where 
is the slope of the line AD and 
is the slope of BC.
Now from the given property,
Therefore, slope of altitude BC = 
Option (C) will be the answer.
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
