I must assume that you meant f(x) = sqrt(x-8) + 6.
The domain is [8, inf.), and the range is [6, inf.)
<u>Given</u>:
The sum of 5 consecutive integers is 110.
Let the sequence be x, x + 1, x + 2, x + 3, x + 4
We need to determine the fourth number in the sequence.
<u>Value of x:</u>
Since, the sum of 5 consecutive integers is 110.
Thus, we have;
Adding the like terms, we have;
Thus, the value of x is 20.
<u>Fourth term:</u>
The fourth term of the sequence is x + 3
Substituting x = 20 in the term, we get;
Fourth term = 20 + 3 = 23
Thus, the fourth term of the sequence is 23.
Here's your answer to the first problem
Answer:
True if reflection over a line.
Step-by-step explanation:
Given that there is a reflection symmetry. We have to discuss about the quality of the design.
By reflection , we mean it can be either on a line or on a point.
If symmetry is on a line, then we get a mirror image of the original one keeping the line of symmetry as mirror. Hence in this case when rotated about axis of symmetry lying it its plane the original design would be maintained.
Examples are : Circles, ellipses, hyperbolas, etc.
Reflection about a point is obtained by keeping equal distance form the point.
For example, reflection of (1,1) over origin would be (-1,-1)
Here the rotation quality may not apply
Step-by-step explanation:
(2 cos(2x)) / (cot x – tan x)
Multiply top and bottom by sin x cos x:
(2 cos(2x) sin x cos x) / (cos² x – sin² x)
Use double angle formula:
(2 cos(2x) sin x cos x) / (cos(2x))
2 sin x cos x
Use double angle formula:
sin(2x)
