is 2/3 rational is 3.1415926535 rational

Answer:

Step-by-step explanation:

focus distance=9

a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77

[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]

Equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

Hyperbola is defined as an open curve having two branches which are mirror images to each other.

A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

Given

Foci: (-9, 0) and (9, 0)

Foci: (±9, 0)

Vertices: (-2,0) and (2,0)

Vertices: (±2, 0)

So, a = ±2, c = ±9

Now [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]b^{2} =c^{2} -a^{2}[/tex]

[tex]b^{2} =9^{2} -2^{2}[/tex]

[tex]b^{2} =81-4[/tex]

[tex]b^{2} =77[/tex]

Equation of hyperbola is

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]

Hence, equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

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Answer:

yes it is.....................

Step-by-step explanation:

9.5 = 19/2

So it is a rational number (and so is not irrational)

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

Answer:

3.902.

Step-by-step explanation:

3. 9015:

The 10 thousandth digit is 5 so you round up the 1 to 2.

Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

Answer:

19/40

Step-by-step explanation:

mark meeeeeee

Answer:

(c) y = 3x - 16 or y - 2 = 3(x - 6)

Step-by-step explanation:

To be perpendicular, the slope must be the negative inverse of the other line,

so we know the slope must be -(-3/1) = 3

then the general point-slope form is

y = mx + b (m = slope and b = y-intercept) so

y = 3x + b (then use the point given (6,2) to find m)

2 = 3(6) + b

2 = 18 + b

2 - 18 = b

-16 = b

then

y = mx + b

y = 3x - 16

Answer:

120 days

Step-by-step explanation:

There are 31 days in January, 28 in February (this was not a leap year), 31 in March and 30 in April. All you have to do now is add 31 + 28 + 31 + 30 for a final answer of 120 days!

Answer:

120

Step-by-step explanation:

January: 31

February: 28

March: 31

April: 30

31+28+31+30=120

Answer:

Bạn An có 23 quả táo

Step-by-step explanation:

Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế

Answer:

70.5°

Step-by-step explanation:

cos x = (20²+18²-22²)/2(20)(18)

= (400+324-484)/720

= 240/720

= 1/3

so, X = arc cos ⅓ = 70.5°

Answer:

t(5x + 4)

Step-by-step explanation:

im not entirely sure if this is correct

Answer:

t×(5x+4)

Step-by-step explanation:

factor out t from the expression

A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)

-10.40 is a withdrawal

8.50 is a deposit

Answer:

Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.

-10.40

See there is a negative sign. This means it is a withdrawal

8.50

See there is a positive sign. This means it is a deposit

Answer:

A.

[tex] \sqrt{x } \div 2[/tex]

is the answer

The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].

Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.

The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]

Calculating the expression we get,

[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]

So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].

Hence the correct option is (A).

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Answer:9/2

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

k=8÷16=0.5

s=0.5×3=1.5

Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

Answer:

$46,571.67

Step-by-step explanation:

if your description is right and complete, she sold cars on the first 2 days as average for $46975.

and on the third day for $45765

to calculate the total average we need to know the total amount of sales and then divide it by the observation period length (3 days).

how do we get the total sales ?

we know the average of the first 2 days. we don't need to find the exact value for every day, but we know the exact value for these first 2 days : 2×46975 = $93950

as the average of these 2 days = (day1 + day2)/2

46975 = (day1 + day2)/2

day1 + day2 = 2×46975 = 93950

it is not important what two (day) numbers created 93950. we know that this was the total sum of the first two days. and that is enough.

so, we have in total

$93950 on the first 2 days

$45765 in the third day

-------------

$139715 for all 3 days

the average per day is then

139715 / 3 = $46,571.67

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

The possible value of the other number will be 7√32. The correct option is D.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

It is given that the first number is 3√2 the value of the second number will be:-

Rational number  = 3√2 x 7√32

Rational number  = 21√64

Rational number  = 21√( 8 x 8 )

Rational number  = 21 x 8

Rational number  = 168

Therefore, the possible value of the other number will be 7√32. The correct option is D.

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[tex]\\ \rm\longmapsto x-5=41[/tex]

[tex]\\ \rm\longmapsto x=41+5[/tex]

[tex]\\ \rm\longmapsto x=46[/tex]

Hence

[tex]\\ \rm\longmapsto 45<x<47[/tex]

Answer:

Let speed of slower car be xkm/h

Therefore rate of other car=x+20 km/h

After 4 hrs ,

Distance covered by Car A=4x

Distance covered by Car B=4x+80

4x+4x+80=760km

8x=680

x=45

The rate of the slower car=45km/h

Answer:

The answer would be A

Step-by-step explanation:

Answer:

It equals 2900 decigrams

Step-by-step explanation:

29 dekagrams = 290 grams

290 grams = 2900 decigrams

Therefore, 29 dekagrams = 2900 decigrams

The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.

To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.

Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:

[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]

Cross-multiplying:

[tex]\(29x = 290 \times 1\)[/tex]

Solving for x:

[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]

Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.

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Complete Question:

If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?

Answer:

-5x-x=-6x

hope this helps you

Answer:

-6x

Step-by-step explanation:

-5x-x

add like terms

-6x

Answer:

you can measure it in ruler

Answer:

Answer is Triangle P'R'Q' is larger, explain how you know is steps

Step-by-step explanation:

So a Dilation is the expansion or shrinkage of an object. Because this is being dilated by 1.5 it is growing by 1.5

So triangle PRQ is the smaller version of P'R'Q' because

Line PR  = 3.1

Line RQ = 3.9

Line QP = 5

Multiplying these by 1.5 you get

Line P'R' = 4.65

Line R'Q'= 5.85

Line Q'P' = 7.5