Answer:
Parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Step-by-step explanation:
<u>Vertical translation of f(x) is of the form</u>
It means if the constant 'k' is added in the output, the parent graph vertically shifted 'k' units up.
Given
Replacing the parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Please also check the attached diagram.
-
The red graph shows the parent function i.e.
- The blue graph shows the transformed function i.e. f(x)+5
The blue graph is the result of the vertically shifting of the parent function by 5 units up.
Hence, parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
HI MATE HERE IS YOUR ANSWER
X=67
EXPLANATION
67 and x are exterior alternate angles.
HOPE IT HELP YOU
PLS MARK AS BRAINLIEST
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Answer:
x = 52.2 degrees
Step-by-step explanation:
In this question, we are to
calculate the value of the angle x
Now the first thing to identify is that what we have is a right angled triangle as one of the angles is 90 degrees
This means that we can employ the use of trigonometric identities to calculate whatever we want to calculate.
The question now is which trigonometric identity is the correct one to use
To answer this, we need to be sure of the sides we were given. Looking at the diagram we have one side facing the 90 degrees angle and the other side facing the angle x itself.
The one facing the angle given is the opposite while the one facing the angle 90 is the hypotenuse
So the trigonometric identity to use is the one that links the opposite and the hypotenuse
This is the sine
mathematically;
sine of an angle = length of opposite/length of hypotenuse
In this case
sine x = 6.4/8.1
sine x = 0.7901
Thus;
x = arc sin 0.7901
x = 52.2 degrees
It would be 13,500 and 84,900 because if the number behind the first one is five or higher u round up if not you round down
ANSWER
EXPLANATION
The given expression is
To find an expression for d in terms of a, b, and c, means we want to make d the subject of the relation.
This means that, we need to isolate d on one side of the equation while all other terms are on the other side.
We subtract from both sides of the equation to obtain,
We now divide through by -1, to get,
Or
The topic is change of subject
