which is the equation of an asymptote of the hyperbola whose equation is (x-2)^2/4 - (y-1)^2/36 =1

Answer:

Step-by-step explanation:

A sort of straightforward way to approach this is to define base and height variables for each of the figures: ba, ha, bb, hb, bc, hc, bd, hd. Then the statements can be used to make equations in these variables.

0. hc = bc . . . . figure C is a square

1. ba = bd

2. ba = bb -1

3. hc = ba

4. hb = ha = bb

5. hc·bc = 9

6. (1/2)ha·ba +(1/2)hb·bb +hc·bc+hd·bd = 38

__

Using equations 0 and 5, we find ...

  hc² = 9   ⇒   hc = 3

From equation 3, ...

  ba = 3

From equation 2, ...

  3 = bb -1   ⇒   bb = 4

From equation 1, ...

  bd = 3

From equation 4, ...

  ha = hb = 4

Filling in the values we know in equation 6, we get ...

  (1/2)(4)(3) +(1/2)(4)(4) +9 +hd(3) = 38

  23 +3hd = 38

  hd = 15/3 = 5

The dimensions are:

Answer:

The perimeter of the triangle would be 21.2. The area would be 18 ft^2

Step-by-step explanation:

Hope this helps :)

Attached is the work I did to get the answers

Answer:

x = 25

Step-by-step explanation:

Log10 ( x - 21 ) + Log10 ( x ) = 2,

Log10 ( ( x - 21 )x ) = 2,

( x - 21 )x = 100,

Simplify:

x^2 - 21x = 100,

x^2 - 21x - 100 = 0,

x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : 25

                             and

x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : -4

( x = 25 ) ⇒ true

( x = - 4 ) ⇒ false

Answer: x = 25

Answer:

if your question is to find the vertical height of D, ans is 5

Step-by-step explanation:

Answer:

If a coin is flipped three times, possible outcomes would be:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

=> possible outcomes that will include exactly 2 tails:

HTT

THT

TTH

TTT

Hope this helps!

:)

Answer:

The answer is 3 or option B.

Step-by-step explanation:

I just answered the question.

Answer:

5

Step-by-step explanation:

320 / 64 = 5

Answer:

Acute.

Step-by-step explanation:

Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.

Using this we can narrow it down that this DOES have a solution, since 10+12>15.

Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.

If c^2= a^2+b^2, then it is a right triangle.

If c^2< a^2+b^2 then it is an acute triangle.

If c^2>a^2+b^2 then it is an obtuse triangle.

We can now substitute. (A and B are interchangeable, but C is the longest length.

A=10

B=12

C=15

A^2=100

B^2=144

C^2=255

We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).

Hope this helps!

Answer:

x = -2 or x = 1/3 thus: B & C

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + 7 x - 2 = 2 x - x^2

Subtract 2 x - x^2 from both sides:

3 x^2 + 5 x - 2 = 0

The left hand side factors into a product with two terms:

(x + 2) (3 x - 1) = 0

Split into two equations:

x + 2 = 0 or 3 x - 1 = 0

Subtract 2 from both sides:

x = -2 or 3 x - 1 = 0

Add 1 to both sides:

x = -2 or 3 x = 1

Divide both sides by 3:

Answer: x = -2 or x = 1/3

Answer:

Step-by-step explanation:

Adding any multiple of 2π radians to the angle will result in the same point. So, one set of coordinates of the same point can be ...

  (7, π/3 +2kπ) . . . . for any integer k

The value of the radius can be negated, and an odd multiple of π can be added to the angle to get the same point. Another set of coordinates of the same point can be ...

  (-7, 4π/3 +2kπ) . . . . for any integer k

Answer:

V = 46.67cm²

Step-by-step explanation:

[tex]V=\frac{lwh}{3}[/tex]          Use this equation to find the volume of the pyramid

[tex]V=\frac{35*4}{3}[/tex]         Multiply in the numerator

[tex]V=\frac{140}{3}[/tex]           Divide

V = 46.67cm²

If this answer is correct, please make me Brainliest!

Here are a few 4/1 , 8/2 , 12/3

4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.

A fraction is defined as numerical representation for part of a whole which represents a rational number.

If the denominator is 1, the numerator can be taken as 4, so the fraction would become [tex]\frac{4}{1}[/tex] = 4

If the denominator is 2, the numerator can be taken as 8, so the fraction would become [tex]\frac{8}{2}[/tex] = 4

If the denominator is 3, the numerator can be taken as 12, so the fraction would become [tex]\frac{12}{3}[/tex] = 4

Thus, 4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.

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Step-by-step explanation:

The answer as a decimal is 5.16666667

Answer:

The answer is 5

Step-by-step explanation:

It is 5 because when you subract a positive number to a negative number it is realy just adding them together so 4 1/3 - (-2/3) is the same as 4 1/3+2/3

Answer:

F(-10)=186

Step-by-step explanation:

F(-10)=2(-10)^2+(-10)-4

F(-10)=2*100+(-14)

F(-10)=200-14

Therefore, F(-10)=186

Answer:

The answer is 186

Step-by-step explanation:

Answer:

He did not apply the distributive property correctly for 4(1 + 3i).

Step-by-step explanation:

4 (1 + 3 i) minus (8 minus 5 i)

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A. He did not apply the distributive property correctly for 4(1 + 3i).

Step-by-step explanation:

edg 2020

Answer:

it's B

Step-by-step explanation:

because I took the test

Answer:

D.

Step-by-step explanation:

Rotation by 180 about O will map QSU onto itself.

Answer: 80/89

Step-by-step explanation:

Answer:

80/89

Step-by-step explanation:

delta math told me

Answer:

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.95[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{1000}{\sqrt{64}} = 245[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.

The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

A means of the estimate numerical, the variation in that estimate is referred to as the confidence interval, therefore its value is "[tex][7255, 7745][/tex]".

[tex]95\%[/tex] C.I. for a mean lifetime is given by

[tex]= [ \overline{X} - \tau_{0.975} \frac{\sigma}{\sqrt{n}} , \overline{X} + \tau_{0.975} \frac{\sigma}{\sqrt{n}} ][/tex], where

[tex]\bar{X}[/tex] (sample mean) [tex]= 7500[/tex]

[tex]\sigma[/tex] (standard deviation)[tex]= 1000[/tex]

[tex]n = 64[/tex]

by putting the value into the above-given formula we get the value that is  [tex]= [7255, 7745].[/tex]

Find out more information about the confidence interval here:

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Answer:

12/48=1/4(Simplified)

Step-by-step explanation:

The probability that Kitzen’s name will be drawn twice is 1/23.

"The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes".

For the given situation,

The table shows the number of students and the number of raffle tickets.

Kitzen's number of raffle tickets = 12

Ava's number of raffle tickets = 16

Sam's number of raffle tickets = 11

Josie's number of raffle tickets = 9

The event is that the Kitzen’s name will be drawn twice, n(e) = 2(12)

The total number of raffle tickets, n(s) = 48

Thus the probability that Kitzen’s name will be drawn twice,

[tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)=\frac{2(12)}{48}[/tex]

⇒ [tex]P(e)= \frac{1}{2}[/tex]

Hence we can conclude that the probability that Kitzen’s name will be drawn twice is 1/23.

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Multiplication is the process of multiplying. The amount of cereal that John will eat in 15 days is 50 ounces.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that John eats 20 ounces of cereal every 6 days. Therefore, the amount of cereal that John eats every 6 days is,

Amount of cereal in a day = 20 ounces / 6 days

                                           = (20/6) ounces in a day

Now, the amount of cereal that John will eat in 15 days is,

Amount of cereal in 15 days = 15 days × (20/6) ounces in a day

                                               = 50 ounces

Hence, the amount of cereal that John will eat in 15 days is 50 ounces.

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Answer:

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Step-by-step explanation:

Step( i ) :-

Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.

Mean of the Population  'μ' = 83

Standard deviation of the Population 'σ' = 27.

Step(ii):-

Given X =60

[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851[/tex]

Step(iii):-

Given X = 110

[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1[/tex]

The Probability that between 60 and 110

P(60 < x<110) = P( -0.851 < z< 1)

                      =  P( Z≤1) - P(Z≤ -0.851)

                     = (0.5 + A(1)) - (0.5- A(-0.851))

                    = (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)

                    = 0.8413 - 0.1977

P(60 < x<110) = 0.6436

Final answer:-

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Answer:

25%

Step-by-step explanation:

I'm not great at probability but the chances of rolling an odd number on one dice is 50%, so you should have to multiply 0.5 * 0.5 to get 0.25, or a percentage of 25%. Hope this helps :)

Answer:

A

Step-by-step explanation:

A negative discriminant gives the information that it has two complex solutions. A positive discriminant has two real solutions, and a zero has one real solution.

Answer:

c, but its  imaginary, which is  

perfectly acceptable as solutions.

good luck and have a good day-

Answer:

1286.8

Step-by-step explanation:

Volume of a cylinder is pi(r²)(h)

The radius is 6.4 and the height is 10

Answer:

1286.1 units³

Step-by-step explanation:

V = πr²h

= 3.14 x 6.4 x 6.4 x 10

= 3.14 x 409.6

= 1286.144 units³

= 1286.1 units³

Answer: y = 9x - 3

That's y=mx + b, the usual slope intercept form of a line with slope m and y intercept b.

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that m = 9 and b = -3, and when we plug those in, we get y = 9x - 3. Hope this helps!

Answer:

No. See below.

Step-by-step explanation:

No, Seth lost the plot at the end.

At x = 3,

y = 4x + 1 = 12 + 1 = 13

At x = -2,

y = 4x + 1 = -8 + 1 = -7

Therefore, the curves intersect at (3,13) and (-2,-7)

Answer:

The height of the building: g

Distance from the building to the base of the ladder: 57

The length of the ladder: m

Angle the ladder makes with the building: k

Angle the ladder makes with the ground: 55

Step-by-step explanation:

Based off the location of the variables and numbers, the descriptions match where they are.

Hope that helps!