Answer:
Step-by-step explanation:
Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."
To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.
Mathematically, we'd capture that last example with the equation
. We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: 
.
This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: 
. When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as 
, so we can say that 
.
Answer:
B
Step-by-step explanation:
A division between two roots that have the same index can be rewritten as a division between the two terms with a unic root
Answer:
7/6 =1.16
Step-by-step explanation:
1.16x16=6
Answer:
x=11
Step-by-step explanation:
Due to angles DCA and CAB being Alternate Interior Angles, we know that they will be equal. This means that
°
Next, we can find the measure of the angle DCE.
Angles BCE and BCA are supplementary. This means that they will add together to be 180°
This means that 180-BCE=BCA
Which means 
As all of the angles in a triangle must add together to be 180 degrees, we can set up the following equation
