Answer:
B represents a function.
Step-by-step explanation:
Recall these characteristics of a "function:"
Only one y-value can be associated with each x-value.
Thus, A could not represent a function because there are two points with x = 1 and two different y-values: (1, 1) and (1, -2).
B represents a function because for each input (x-value) there is one and only one y-value associated.
C not a function: (2, 3) and (2, -3) have two different y-values associated with one x-value (2).
D not a function: (-3, 4) and (-3, -4) (see A and C, above)
Answer:
4 : 39
5 : 52
6 : 67
7 : 77
Step-by-step explanation:
Answer:
The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles
Step-by-step explanation:
In triangle ABD:
∠B = ∠D
Thus AB=AC by the property of opposite sides of equal angles are equal
In triangle CBD
∠B = ∠D
Thus CB=CD by the property of opposite sides of equal angles are equal
Thus all four sides of quadrilateral ABCD are equal
And diagonal BD bisects the angles
So, it is a rhombus
Therefore the correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles....
We know that,
- Pythagoras theoram is given by : p² + b² = h²
- In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.
Then,
We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.
Sum of squares of smaller sides:
= 6² + 8²
= 36 + 64
= 100
Square of longer side:
= 10²
= 100
Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.
And we are done! :D
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