Answer:
Step-by-step explanation:
Parent function:
The properties of the parent function are:
- Starts at the origin, so y-intercept is at (0, 0)
- Domain: x ≥ 0
- Range: y ≥ 0
- As x increases, y increases
From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a <u>reflection in the x-axis</u>.
The y-intercept is now at (0, 2), therefore the function has been <u>translated 2 units up</u>.
<u>Translations</u>
For a > 0
Therefore:
Reflected in the x-axis:
Then translated 2 units up:
So the equation that represents the transformed function is:
The measure of the hypotenuse side is 21.66 units.
In the given figure, the measure of hypotenuse is x, the measure of angle is 37° and the measure of leg is 17.3 units.
<h3>What are trigonometric angles?</h3>
Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Now, cos θ=(Base/Hypotenuse)
cos 37°=17.3/x
⇒ 0.7986=17.3/x
⇒ 0.7986x=17.3
⇒ x=17.3/0.7986
⇒ x=21.66 units
Therefore, the measure of the hypotenuse side is 21.66 units.
Learn more about the trigonometric angles visit:
brainly.com/question/24174128.
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Answer:
The two numbers are 9 and 3.
Step-by-step explanation:
x+y=12
x-y=6
---------
2x=18
x=18/2
x=9
9-y=6
y=9-6
y=3
u have to multiply all the sides and
T= -9 :) , because negative divided by a negative is a positive!