Answer:
- <u>Third choice: {3, 4, 6, 7, 9}</u>
Explanation:
<em>M ∪ N</em> means the union of the segments M and N. That is, the complete list of objects that are either in the set M or N.
The circle on the left of diagram shows that the elements inside the set M are 3, 4, 7 and 9.
The circle on the right of the diagram shows that the elements inside the set N are 4, 6 and 7.
The complete list of the numbers in either M or N is 3, 4, 6, 7, and 9 (you must not repeat the elements that belong to both sets but indicate them just once.
So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a
2
−
b2
=
(
a
+
b
)
(a
−
b
) where a=
1 and b
=
10
x
.
(
1
+
10
x
(
1
−
10
x
)
Step-by-step explanation:
Answer:
60cm^2
Step-by-step explanation:
The formula for the area of a trapezium is : 
To work out the area of the trapezium you would first have to add the lengths at the top and bottom (a and b) which is 9+15, this gives you 24cm.
The next step is to divide the value of 24 by 2, this gives you 12cm.
The final step is to multiply the value of 12cm by the height of 5, this gives you 60cm^2. This is because if you were to substitute the values into the formula you would get the same answer.
1) Add 9 and 15.

2) Divide 24 by 2.

3) Multiply 12 and 5.
The total area is 84m.
Work is in the image, feel free to ask if you don’t understand it.
Hope this helped :)