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tensa zangetsu [6.8K]
3 years ago
12

On a rectangle hyperbola, if one point is (2,3) and y varies inversely to x, find y when x is 6

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0
<span>The graph of y against x in inverse proportion is a rectangular hyperbola but I don't see at all how this knowledge/observation is any help in solving the problem.

Inverse proportion means that as x doubles y will halve and the equation is xy = k where k is some number. A good example of inverse proportion is speed and time taken over some fixed distance. In this case x could represent the speed (mph) and y the time (h) and then k is the distance in miles.

Since we know y=3 when x=2 we have xy = 6. Now it's easy to see when x=6 y=1.</span>
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Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
Read 2 more answers
Can someone plz help me with this one problem plz!!!
Lubov Fominskaja [6]

Answer:

No

Step-by-step explanation:

Co-ordinates are written like (x,y), therefore x=899, y=58

Sub in the values:

y=x+841?

58=899+841?

58=1740? NO

7 0
3 years ago
Read 2 more answers
Calculate the mean deviation by median (by using the mid-point(x) of leaf weights. b) A fair die is rolled. Find the probability
SVETLANKA909090 [29]

Answer:

hello attached below is the required table that is missing and the completed table as well

A) mean deviation = 0.1645

B) 2/3

Step-by-step explanation:

From the table we calculated the midpoint value (x) and c.f

N = 27

median class = 2.35 to 2.45

median = l + [ (N/2) - cf / F ] * H

             = 2.35  + [ (13.5 - 13) / 6 ] *0.1 = 2.3583

hence mean deviation by median

= summation of  fi |xi -M| / summation of fi

= 4.4417 / 27 = 0.1645

B ) probability of getting an odd number or prime number or both

the probability of an odd number = 1/2

also the probability of an even number = 1/2

while the probability of getting neither of them = 1/3

hence the probability of getting odd or prime or both

= 1/2 + 1/2 - 1/3 = 2/3

6 0
3 years ago
Mary has a recipe for cranberry bread. she uses 6 and 2/3 cups of flour to make 2 loaves of cranberry bread.
sweet [91]

Answer: it’s the third one

Step-by-step explanation:

It is

8 0
2 years ago
Complete the square to transform the expression x2 + 4x + 2 into the form a(x − h)2 + k.
Nina [5.8K]

Answer:

Step-by-step explanation:

y = (x^2 + 4x)      + 2

Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

Put it after 4x

y = (x^2 + 4x + 4)   +2  Subtract what you put inside the brackets on the outside.

y = (x^2 + 4x + 4) + 2 - 4      Combine the right.

y = (x^2 + 4x + 4) - 2            Express the brackets as a square.

y = (x + 2)^2 - 2

That's your answer

a = 1

h = 2

k = -2

3 0
3 years ago
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