Answer:
The correct option is B.
Step-by-step explanation:
The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).
Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.
Distance formula:
Use distance formula to find the side length.
Since both consecutive sides are equal therefore it is a square.
Area of a square is
Where, a is side length.
The side length of the square is 5. So, area of ABCD is
Therefore the area of quadrilateral is 25 units square. Option B is correct.
15,409 can be written as 10,000 + 5,000 + 400 + 9 in expanded form.
Answer:
The exponential form of this would be (7x)^3/2
Step-by-step explanation:
The square root symbol is the same as writing raised to the 1/2. So we can rewrite the equation as:
[(7x)^1/2]^3
Then we can multiply the two exponents in this case giving us
(7x)^3/2
I believe that the answer is b
Answer:
Step-by-step explanation:
a) A relation R is symmetric when it includes the inverse relation, for example if it includes (8,9) then it should also include (9,8), if not, then the relation is not symmetric, you can see that in this case the relation includes (3,4) but not (4,3), therefore it is not symmetric
b) A relation is antisymmetric when it never includes the inverse relation, for example if it includes (8,9) then it can not include (9,8), if it does then it is not antisymmetric. In this case you can see that it first starts with (1,2) but then it also includes (2,1) so then it is not antisymmetric
c) A relation is reflexive if for each number of the domain set it includes the pair that is two times that same number, for example if 8 is in the domain then the relation should include (8,8). if not then it is not reflexive. In this case you can see that the domain S includes 1 but (1,1) is never on the relation or for example (2,2) is also never in the relation.
