Answer:
1. Distributive property.
2. Combining like terms.
3. Addition property of equality.
4. Division property of equality.
Step-by-step explanation:
- The Distributive property states that:
- The Addition property of equality states that:
- The Subtraction property of equality states that:
- The Multiplication property of equality states that:
- The Division property of equality states that:
Given the following equation:
We can identify that the methods Maria used to solve it and the order, are:
1. Distributive property:
2. Combining (or adding) like terms:
3. Addition property of equality, because she added 36 to both sides of the equation:
4. Division property of equality, because she divided both sides of the equation by 12:
Answer:
a = 6
Explanation:
7a − 17 = 4a + 1
Subtract 4a from both sides
7a − 17 − 4a = 4a + 1 − 4a
3a − 17 = 1
Add 17 to both sides
3a − 17 + 17 = 1 + 17
3a = 18
Divide both sides by 3
3a / 3 = 18 / 3
a = 6
Answer:
O-2(x+5)
Step-by-step explanation:
I have to much time on my hands
Answers:
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
====================================================
Explanation:
Here are all the ways to multiply to 18 when using integers only:
- -1*(-18) = 18
- -2*(-9) = 18
- -3*(-6) = 18
- 1*18 = 18
- 2*9 = 18
- 3*6 = 18
Sum each pair of factors to find out a possible value of b.
- -1 + (-18) = -19
- -2 + (-9) = -11
- -3 + (-6) = -9
- 1 + 18 = 19
- 2 + 9 = 11
- 3 + 6 = 9
Therefore, the possible values of b are
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
which are the final answers.
----------------------
An example:
Let's say b = 11. This would mean 
becomes 
It would factor to 
since it was stated earlier that:
2+9 = 11
2 * 9 = 18
You can use the FOIL rule, distributive property, or the box method to confirm that 
is a true equation for all real numbers x.
This same idea applies for the other values of b.
----------------------
If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)
Use the FOIL rule to get 
The middle term 
has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).
Answer:
216 cm
Step-by-step explanation:
Surface area= 6a
a= 6 cm
