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madreJ [45]
2 years ago
13

Rewrite the equation by completing the square. x2 - 6x - 16 = 0

Mathematics
1 answer:
Zolol [24]2 years ago
3 0

Answer: x = 8, -2

Step-by-step explanation:

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An object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seco
bulgar [2K]

Answer:

y=2\text{cos}((\frac{2\pi}{3})t)

Step-by-step explanation:

We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.

We know that standard form of cosine function is y = A\cdot \text{cos}(Bt-C)+D, where,

|A| = Amplitude,

Period = \frac{2\pi}{|B|},

C = Phase shift,

D = Vertical shift.

Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, A = 2.

Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by \frac{2\pi}{|B|}, therefore, we can write \frac{2\pi}{|B|}=3, therefore, B = \frac{2\pi}{3}.

We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero .

Therefore, our function required function would be y=2\text{cos}((\frac{2\pi}{3})t).

6 0
3 years ago
What is the domain of h please help :(((((((​
Olin [163]

Answer:

Domain is X-values

Range is Y-VALUES

domain as follows: -7,-3, -1, 1, and 4

Range as follows: -2,7, 6, and 3

<h2>I think the domain of h is 3</h2>

Step-by-step explanation:

7 0
2 years ago
I need the answer I need help with this question
madreJ [45]
You can print a copy of the graph, stick a pin in the origin, and rotate it 180° to see where the figure ends up.

The origin is the midpoint between each vertex and its image.
Negate every coordinate value, for example, J(-5, -3) gets rotated to J'(5, 3).

3 0
3 years ago
Given the equation –2x + 3y = 18, what are the x-intercept and y-intercepts of the graph?
bogdanovich [222]
Y-intercept happens at x=0. Plug that into the equation. you'll get the y-intercept happens at (0,6). Then, to find the x-intercept y=0. Plug that into the equation. You'ff find that the x-intercept happens at (-9,0)
5 0
3 years ago
Read 2 more answers
Use compatible numbers to find two estimates
taurus [48]
Use compatible numbers to find two estimates that the quotient is between. For example: 

1,624 divided by 3
<span> 1500 / 3 = 500 </span>

<span>1800 / 3 = 600</span>
7 0
3 years ago
Read 2 more answers
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