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tekilochka [14]
2 years ago
6

The center of a hyperbola is (-4,7), and one vertex is (-2,7). The slope of one of the asymptotes is 2. What is the equation of

the hyperbola in standard form?
Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
3 0

Answer:

Step-by-step explanation:

The center and vertex are horizontally aligned.

a = distance between center and vertex = 2

center (h,k)

asymptotes: y = ±(b/a)x + k∓(b/a)h

(x-h)²/a² - (y-k)²/b² = 1

(x+4)²/2² - (y-7)²/4² = 1

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ArbitrLikvidat [17]
X = -3, y = 0 i think
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3 years ago
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A research company desires to know the mean consumption of meat per week among people over age 40. A sample of 610 people over a
Papessa [141]

Answer: (3.0,\ 3.2)

Step-by-step explanation:

Confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}  (1)

, where \overline{x} = Sample mean

z_{\alpha/2}= Critical z-value

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

\sigma=1.1

\overline{x}=3.1

Significance level for 85% confidence : \alpha=1-0.85=0.15

By z-table critical two tailed z-value : z_{\alpha/2}=z_{0.075}=1.44

Put all values in (1) , we get

3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}

3.1\pm 1.44\dfrac{1.1}{24.698}

3.1\pm 0.064

=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)

Hence, the 85% confidence interval for the mean consumption of meat among people over age 40.  = (3.0,\ 3.2)

5 0
3 years ago
22x – 54 + 5.736x^4 - 2x^2<br> Standard form
Yuri [45]

Answer:

5.736x^4 - 2x^2 +22x - 54

Step-by-step explanation:

4 0
3 years ago
Please do number 3___________________
Alexandra [31]

9514 1404 393

Answer:

  m∠SVW = 80°

Step-by-step explanation:

3. The sum of <em>same-side interior</em> angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.

  4x + 5x = 180

  9x = 180 . . . . . . . . collect terms

  x = 20 . . . . . . . . . . divide by 9

m∠SVW = 4x° = 4(20)°

m∠SVW = 80°

_____

4. Then m∠VWT = 180° -80° = 100° = 5x°.

__

5. <em>Consecutive interior</em> angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)

4 0
3 years ago
7. Explain the difference between whole numbers and counting numbers.<br>(2 marks)<br>Your answer​
Burka [1]

Counting numbers is like the numbers 1,2,3,4,5 and so on they were numbers you were probably taught to count to like to count through 1-10 or whatever. Counting numbers mean to count since they do have the word counting in them.

Whole number just means a number with no fraction or intger also 1 - infinity

3 0
3 years ago
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