Answer:
Option B.
Step-by-step explanation:
The given expression is

We need to find an expression which is equivalent to the given expression.
Combine like terms.


The simplified form of given expression is 8p-9. So, option A is incorrect.
In option B, the given expression


Using distributive property, we get

Combined liker terms.


It is same as the simplified form of given expression.
Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.
Answer:
-2 and -7
Step-by-step explanation:
This problem is about using the Factoring X.
Two numbers will multiply to the number placed at the top. These same two numbers will add to the value placed on the bottom.
Let's look at the factors of 14.
1 • 14 = 14
2 • 7 = 14
Now let's look at their sums.
1 + 14 = 15
2 + 7 = 9
We can see that 2 and 7 multiply to 14 and add to 9.
However, we need them to add to -9.
Note that two negative numbers multiplied will become positive.
-2 • - 7 = 14
Now let's look at their sum.
-2 + (-7)
Simplify the negative.
-2 - 7 = -9
We can see that -2 and -7 multiply to 14 and add to -9.
Hope this helps!
Answer:
172
Step-by-step explanation:
The formula for the missing term of a geometric sequence is the square root of x times y.
All 3 sides of an equilateral triangle are the same.
Set up an equation with two sides equaling each other and solve for n:
2n +15/4 = 7n
Subtract 2n from both sides:
15/4 = 5n
Divide both sides by 5:
n = (15/4) / 5
n = 3/4
Now you have a value for n, replace n and solve for the length:
7n = 7(3/4) = 21/4 = 5 1/4
Each side is 5 1/4
-9 is the answer to this equation