Given:
The function is:
where 
.
To find:
The range of the given function.
Solution:
Range is the set of output values.
We have, . It means the value of x is greater than 6 but not equal to 6.
The function is
Putting x=7, we get
Putting x=8, we get
Putting x=9, we get
So, the range of the given function is {31, 36, 41...}.
Therefore, the correct option is B.
Answer:
Step-by-step explanation:
We want use the order of operations and the digits 2, 4, 6, and 8 to create an expression with a value 2.
The expression is:
The order of operations is PEDMAS
Deal with parenthesis first,
Next deal with exponent
No Division and Multiplication so skip to Addition.
Finally subtract to get:
Answer:
25:)
Step-by-step explanation:
Answer:
60 square units
Step-by-step explanation:
We can use Pythagoras to solve this as appropriately projecting lines from any point will form a triangle. The vertical and horizontal lengths of which can be read of from the axis.
The distance between two points is √
(
x
1
−
x
2
)
2
+
(
y
1
−
y
2
)
2
Let the distance between two points be
d
i
Distance between points A and B
d
1
=
√
[
3
−
(
−
3
)
]
2
+
[
7
−
5
]
2
d
1
=
√ 36
+
4
=
√
2
2
×
10
=
2
√
10
Distance between points B and C
d2
=
√
[
6
−
3
]
2
+
[
7
−
(
−
2
)
]
2
d
2
=
√
9+
81
=
√
3
2
×
10
=
3
√
10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Area =
d
1
×
d
2
=
2
√
10
×
3
√
10
=
60
YW :>
