Answer: Option b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option b.
Answer:
A. 25in.³
Step-by-step explanation:
Volume of a prism = area of base × height
The answer is 68.8 because you need to look at the number in the tenth's place wich is 8 and if the number behind it is 5 or greater then u round it to a number higher if it's 4 or lower ( in this case 3) it stays the same. Hope that helped
The measure of the supplement angle is 63°
Step-by-step explanation:
If two angles are supplementary then the sum of their measures is 180°
The given is:
- Two supplementary angles
- One of them is 9 less than twice its supplement
We need to find the measure of the supplement
∵ The two angles are supplementary
∴ The sum of their measure is 180°
Assume that the measure of the supplement angle is x°
∵ An angle is 9 less than twice its supplement
- twice means times 2 and 9 less means subtract 9
∵ The measure of the supplement is x°
∴ The measure of the angle = (2x - 9)°
∵ The sume of the measures of the two angles = 180°
∴ (2x - 9)° + x° = 180°
- Add like terms
∴ (2x + x) - 9 = 180
∴ 3x - 9 = 180
- Add 9 to both sides
∴ 3x = 189
- Divide both sides by 3
∴ x = 63°
The measure of the supplement angle is 63°
Learn more:
You can learn more about supplementary angles in brainly.com/question/11175936
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Answer: 1/cos θ
Step-by-step explanation:
From basic trigonometry, csc θ is the short form of cosec θ which is further expressed as
csc θ = 1/sin θ
Also,
tan θ = sin θ/cos θ
Knowing this basis of trigonometry makes the simplification easy for us.
Firstly, expressing the equation in terms of sin θ and cos θ,
The equation becomes csc θ * tan θ = [1/sin θ] * [sin θ/ cos θ]
Further simplifying by multiplication, our answer becomes
1/cos θ