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Answer:
Commutative Property of Addition
Step-by-step explanation:
If you are adding six and four together, the commutative property of addition says that you will get the same answer whether you are adding 6 + 4 or 4 + 6.
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving numbers around. For addition, the rule is "a + b = b + a"; in numbers, this means 6 + 4 = 4 + 6.
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Question 118094: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12 (Scroll Down for Answer!)Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!Check it Out!OR get immediate PAID help on:
Type Your Question Go!!! Answer by jim_thompson5910(34119) About Me (Show Source):You can put this solution on YOUR website!I'm assuming that the triangle is a right triangle and that side 3 is the hypotenuse.
We basically have this triangle set up:
Since we can see that the triangle has legs of 8 and x with a hypotenuse of 12, we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem:
a%5E2%2Bb%5E2=c%5E2 where a and b are the legs of the triangle and c is the hypotenuse
8%5E2%2Bx%5E2=12%5E2 Plug in a=8, b=x, and c=12. Now lets solve for x
6+4+%2B++x++%5E+2+=+1+4+4 Square each individual term
+x++%5E+2+=+1+4+4+-+6+4 Subtract 64 from both sides
+x++%5E+2+=+8+0 Combine like terms
s+q+r+t+%28++x++%5E+2+%29+=+s+q+r+t+%28+8+0+%29 Take the square root of both sides
x=4%2Asqrt%285%29 Simplify the square root
Which approximates to... x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6
So our answer is x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6....
The slope of a line often referred to as the (
) is the rate of change in a line. It can be found using the following formula.
Where (
) and (
) are points on the line. For each problem, substitute the points on the line into the formula and solve for the slope.
1. 
(0, 2), (-2, 1)
2. 2
(-2, -1), (0, 3)
3. 4
(1, 0), (2, 4)
4. 1
(6, 2), (2, -2)
5.
(-1, 1), (4, 4)
6. 
(-7, 4), (2, 1)
7. 0
(5, -3), (-2, -3)
8. 
(-3, 2), (2, 7)
9. 8
(2, 16), (3, 24)
