In mathematics, an empty set is a unique set having no elements inside it. Its size (which is based on the number of elements inside it) is also zero.
The empty set is sometimes called a null set as well.
Empty set is given the notation of o with a diagonal line through it as shown in the attached picture.
Answer:
The top right
Step-by-step explanation:
The y intercept is = 0.2^(0) + 3 = 1+3 = 4
Now let considered some point
Let x = 3
0.2^(3) + 3 = 3.008
Let x = 10000
0.2^(10000) + 3 = 3.00032
As we can see, it approaching 3 so the top right is correct
Answer:
x = 3
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem.
Step-by-step explanation:
Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.
We have to determine x.
Applying the Pythagoras Theorem,
AB² + BC² = AC² {If AC is the hypotenuse of the right triangle}
⇒ [(x + 3)² + 4²] + [(- 2)² + 3²} = (x + 1)² + 7²
⇒ x² + 6x + 38 = x² + 2x + 50
⇒ 4x = 12
⇒ x = 3 (Answer)
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem. (Answer)
What you want to do, is isolate the y by itself to rewrite the equation as y=mx+b. So when you move the 5x over the equation looks like this -6y=-5x+30. Then you divide the -5x+30 by -6 to isolate the y. Thus making the equation y=5/6x-5. And since there is only one answer with the y-intercept as (0,-5); The answer is A.
