It's "commutative property," which says that (for addition/multiplication) order of the operator doesn't matter. For eg, 3 * 5 = 5 * 3.
Associative property (again, of multiplication and addition) means that it doesn't matter how you solve an expression if the same operand is used and some numbers are grouped. For eg. 3 * (5 * 4) = (3 * 5) * 4.
9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
<em>The solution is where the lines intersect</em>. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
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The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
Answer:
a. ∠D'A'B'
Step-by-step explanation:
From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.
Only the coordinates of the points are changed with the length of each side remaining the same.
Hence the corresponding angle values will also remain unaltered.
∴ ∠DAB = ∠D'A'B'
Answer: 87 m
Step-by-step explanation:
This problem can be solved by using a simple ratio and proportion.
The way you figure this out is::
Model = 12 m/ 1 cm = x/7.25 cm
Solve for x and you should receive this answer:
x = 87 m
hope I helped, best wishes to your future studies...
-a
Multiply first equaton by 2 and add to the other equation
6x+6y=12
<u>5x-6y=15 +</u>
11x+0y=27
11x=27
divide both sides by 11
x=27/11
sub back
3x+3y=6
divide both sides by 3
x+y=2
(27/11)+y=2
2 and 5/11+y=2
minus 2 and 5/11 both sides
y=-5/11
x=27/11
y=-5/11
(27/11,-5/11)