The distributive property combines multiplication with addition and multiplication with subtraction together in order to simplify the equation. It is named as such because the number outside of the open and close parenthesis are distributed to the terms inside. Say for example, the equation given is 5(2x - 3). According to the distributive property, you distribute 5 by multiplying to each of the terms inside the parentheses. The solution would be: 5*2x + 5*-3 = 10x - 15. As you can see, it involved multiplication with addition and subtraction. Generally, you just have to add all the terms while making sure you carry the sign of the integer along when you multiply them just as shown in my example.
Answer:
Area=Base length x Height
Area= O x g.
Answer:
932.8
Step-by-step explanation:
Hope this helps!
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
