Use an informal argument to find the value of
X.
answer asap!

Answer:

Foci [tex](0,\pm\frac{\sqrt{17}}{4})[/tex]

Vertices:[tex](0,\pm 1)[/tex]

Eccentricity, e=[tex]\frac{\sqrt{17}}{4}[/tex]

Length of latus rectum=[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

We are given that

[tex]y^2-16x^2=1[/tex]

[tex]y^2-\frac{x^2}{(\frac{1}{4})^2}=1[/tex]

The equation of hyperbola is along y-axis because y is positive

Compare the equation with

[tex]y^2/a^2-x^2/b^2=1[/tex] (Along y-axis)

We get

a=1, b=1/4

[tex]a^2+b^2=c^2[/tex]

[tex]1+\frac{1}{16}=c^2[/tex]

[tex]\frac{16+1}{16}=c^2[/tex]

[tex]c^2=\frac{17}{16}[/tex]

[tex]c=\pm \frac{\sqrt{17}}{4}[/tex]

Therefore,

The coordinates of foci=[tex](0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})[/tex]

The coordinated of vertices=[tex](0,\pm a)=(0,\pm 1)[/tex]

Eccentricity, e=c/a

[tex]e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}[/tex]

Length of latus rectum=[tex]\frac{2b^2}{a}[/tex]

Length of latus rectum=[tex]2\times \frac{1}{16}=\frac{1}{8}[/tex]

Answer:

23

Step-by-step explanation:

please mark brainliest

Answer:

x = 23

Step-by-step explanation:

7 + 2x = 53

7 + 2x - 7 = 53 - 7

2x = 46

2x / 2 = 46 / 2

x = 23

Hope this helps

Maybe brainliest?

Answer:

[tex]123.19890025 kg^2[/tex]

Step-by-step explanation:

We are given that

Standard deviation, s=11.0995 kg

Sample size, n=10

We have to find the variance of their weights.

We know that

Variance=[tex](standard\;deviation)^2[/tex]

Using the formula

The variance of their​ weights

=[tex](11.0995)^2[/tex]

=[tex]123.19890025 kg^2[/tex]

Hence, the variance of their​ weights=[tex]123.19890025 kg^2[/tex]

Answer:

James = £60, Ryan = £40 and Jill = £20

Step-by-step explanation:

James - 3, Ryan - 2 and Jill - 1

3 + 2 + 1 = 6

£120 / 6 = 20

Times 20 by each of the three numbers (3, 2 and 1)

3 x 20 = £60 (James)

2 x 20 = £40 (Ryan)

1 x 20 = £20 (Jill)

Answer:

James gets £60

Ryan gets £40

Jill gets £20

Step-by-step explanation:

Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20

All these should add up to your original sum and if they do you know you've done it right!

Answer:

[tex]v = 400000(2^\wedge d)[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Value = \$400000[/tex]

[tex]Rate = doubles[/tex] per decade

Required

Determine the equation of the function

The information given shows that the function is exponential and will be calculated using:

[tex]v = ab^d[/tex]

Where:

a = Initial Value = 400000

b = rate = 2

d = number of decades

v = the current value of the home

So, we have:

[tex]v = 400000* 2^\wedge d[/tex]

[tex]v = 400000(2^\wedge d)[/tex]

The equation that represents the value of the home is v = $400,00(2^d).

The home is appreciating in value. This means that the price of the house is increasing with the passage of time.

The formula that can be used to represent the appreciation is:

FV = P (1 + r)^n

v = $400,000(2^d)

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3

Answer: b = 9

Step-by-step explanation:

Given

12 + 5/3b + 11 - 18 = 20

Combine like terms

(12 + 11 - 18) + 5/3b = 20

5 + 5/3b = 20

Subtract 5 on both sides

5 + 5/3b - 5 = 20 - 5

5/3b = 15

Divide 5/3 on both sides

5/3b / (5/3) = 15 / (5/3)

b = 9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

b. No, because Debbie had gross income of more than $4,200 during the tax year.

Step-by-step explanation:

Qualifying relative refers to the person those who meet the five of the requirements of the Internal revenue Service or the IRS. They are :

-- The person is not a qualifying child.

-- Individual must be a citizen of U.S., Canada or Mexico or alien resident of the USA.

-- The person should be a relative of the tax payer for a complete and has a relationship with the tax payer which is either by blood or by donation.

-- The tax payer should be supporting a higher than half of the expenses of the person.

-- Individual must have less than a gross income of 4,200 dollar in the year 2019.

Since, gross income is 18,250 dollar of Debbie and therefore she is not a qualifying relative.

Answer:

24 ft

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

400/2 = 200

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

because both are even numbers

hope this helps (:

Answer:

660

brainliest???????????

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

142.8% * 461 = 1.428 * 461 = 658.308.

Rounding 658.308 to the nearest 10th, we get:

660

Answer:

135,910

Step-by-step explanation:

Add all  assets together and you will get this answer.

Answer:

pemdas

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

$15.70

Step-by-step explanation:

The formula for a circle's area is πr^2 and so the radius is 10/2 or 5. 3.14*5^2 is 78.54. Multiply this by $0.20 to get the total cost of the pizza. The total cost is $15.70.

Answer:

Ratio of Heights: (3/2)

Ratio of Surface Areas: (9/4)

Ratio of volumes: (27/8)

Step-by-step explanation:

here’s the correct answer for you I got it right :)

Answer:

C

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

when you move COUNTERclockwise, you go in the opposite direction that a clock goes, so you would go to the left instead of the right

Answer:

graph the line using the slope and y-intercept or two points

slope:-2/5

y-intercept:(0,-2)

x | y

-5 | 0

0 | -2

Answer:

ABC DEFGHIJKLMNOPQRSTUVWXYZ

Answer:

131.28 cm2

Step-by-step explanation:

Hope this helps

continuous function

is correct :D

The triangle in which the side are nine inches long has a perimeter of 27 inches.

The perimeter of a triangle is the sum of the length of the whole side.

The triangle have three sides and the perimeter is the sum of the whole sides.

According to the question, the triangle has the whole sides as 9 inches.

This means the triangle is an equilateral triangle.

Therefore,

length of side = 9 inches

perimeter = 9 + 9 + 9

perimeter = 27 inches

learn more on triangle here:https://brainly.com/question/19976393

Answer:

$110

Step-by-step explanation:

Answer:

[tex]G' = (3,1)[/tex]

[tex]H' = (-4,0)[/tex]

[tex]I' = (-2,-3)[/tex]

Step-by-step explanation:

Given

See attachment for points G, H and E

Rotation: 90 degrees clock-wise

Required

Determine the coordinates after rotation

From the attachment:

[tex]G = (-1,3)[/tex]

[tex]H = (0,-4)[/tex]

[tex]I = (3,-2)[/tex]

When a point (x,y) is rotated 90 degrees clockwise, the new point is: (y,-x)

So, we have:

[tex]G = (-1,3)[/tex]

[tex]G' = (3,1)[/tex]

[tex]H = (0,-4)[/tex]

[tex]H' = (-4,0)[/tex]

[tex]I = (3,-2)[/tex]

[tex]I' = (-2,-3)[/tex]

Answer:

412:515

Step-by-step explanation:

Given data

Carlos bought 515 Euros

He spent £412

We want to find the ratio of the purchase to the amount spent

In the form 1:n

We have our ratio of pound to euros has

412:515

Answer:

2

Step-by-step explanation:

16 -> .16

.16×12.5=2

You just move the decimal point 2 times and multiply by the percentage

Answer:

2 students

Step-by-step explanation:

12.5% = 0.125

Multiply this by 16:

16 * 0.125 = 2

Answer:

{4, 5 }

Step-by-step explanation:

Solve the inequality

n + 1 > 4 ( subtract 1 from both sides )

n > 3

The set of values that make the inequality true is { 4, 5 }

Answer:

the inequality will be X > 73

Step-by-step explanation: