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

Answers

Answer 1

Answer:

y = 1

Step-by-step explanation:

y is inversely proportion to x means that ,

y ∝ 1/x or ,

[tex]y\ \alpha\ \frac{1}{x}[/tex]

When we remove the proportionality sign we get,

[tex]y=k(\frac{1}{x})\\y=\frac{k}{x} \\[/tex]

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,

so we insert these values and get the value of k.

[tex]y=\frac{k}{x} \\\\3=\frac{k}{2}\\\\6=k\\[/tex]

now the equation becomes,

[tex]y=\frac{6}{x}[/tex]

now we need to find y when x is 6 so just replace x with 6

[tex]y=\frac{6}{x}\\\\y=\frac{6}{6} \\\\y=1[/tex]

so we get the value of y is 1


Related Questions

Consider the enlargement of the triangle.

A small triangle has a base of 1.7 feet and height of 9.3 feet. A larger triangle has a base of 3.5 feet and height of x feet.
Not drawn to scale

Rounded to the nearest tenth, what is the value of x?
15.8 feet
19.1 feet
23.3 feet
32.6 feet

Answers

Answer:B 19.1 feet

Step-by-step explanation:

The value of the x is 19.1 feet.

What is ratio?

"It is an ordered pair of numbers a and b, written [tex]\frac{a}{b}[/tex] where b does not equal 0."

What is proportion?

"When two ratios are equal then they are said to be in proportion."

For given question,

A small triangle has a base of 1.7 feet and height of 9.3 feet.

A larger triangle has a base of 3.5 feet and height of x feet.

Since it is the enlargement of the triangle, the sides of both the triangle must be in proportion.

[tex]\Rightarrow \frac{1.7}{3.5}= \frac{9.3}{x}\\\\\ \Rightarrow 1.7\times x=3.5\times 9.3\\\\ \Rightarrow 1.7\times x=32.55\\\\ \Rightarrow x=19.14[/tex]

Therefore, the value of the x is 19.1 feet.

Learn more about the ratio and proportion here:

https://brainly.com/question/26974513

#SPJ2

Question 8 (5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x? (5 points)

150 degrees
110 degrees
105 degrees
100 degrees

Answers

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.

In triangle ABC, using exterior angle theorem, we get

[tex]\angle ACD=\angle ABC+\angle BAC[/tex]

[tex]x=75^\circ +30^\circ [/tex]

[tex]x=105^\circ [/tex]

The value of x is 105 degrees.

Therefore, the correct option is C.

Which of the following is the factored form of the expression 18 + 12?​

Answers

6(3 + 2)

thats the answer

Answer:

30 the answer to it question

Which graph below represents the linear inequality y ≥ 5/2x - 4?

A.)

B.)

C.)

D.)

Answers

Answer:

I believe graph B.) I hope this helped u :)

Step-by-step explanation:

Write the equation of the line passing through the points (28,4) and (-4,-4).

Answers

Can you put a picture of the question plis so I can answered

Answer:

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

solve it using these steps , you will get the answer

Step-by-step explanation:

Which ordered pairs represent the following transformation?
translation: 3 units right and 4 units up
Z(-4,-3), 1(-2,-2), V(-2,-4)
Z'(1,1), l'(1,5), V'(1,0)
O Z'(-1,1), l'(1,2), V'(1,0)
Z'(-1,-1), I'(4,2), V (1,0)
O Z'(-7,0), l'(6,7), V'(0,0)


I’ll GIVE BRAINLIEST!!!!

Answers

Answer:

yes

Step-by-step explanation:

it is the second one. z(1,1), I(1,5), V(1,0)

please simplify

5×3−8÷2×3

Answers

Answer:

Use PEMDAS

Step-by-step explanation:

answer is 7/6 i think

i am not 100% sure

The answer would be 3! You can find this using PEMDAs, aka order of operations. Hope this helps!!

what is the 8th term of the geometric sequence 8,16,32

Answers

the 8th term of the geometric sequence 8, 16, 32 is 1024

Explanation

we know that

geometric sequence 8, 16, 32

the question is

the 8th term

the answer is

first we have to find the ratio

[tex] \sf r= \frac{ U_2}{U_1} \\ \sf r= \frac{ 16}{8} \\ \sf r = 2 [/tex]

than, we have to find the 8th term

[tex] \sf U_n = ar^{n-1} \\ \sf U_8 = 8 \times 2^{8-1} \\ \sf U_8 = 8 \times 2^7 \\ \sf U_8 = 8 \times 128 \\ \bold {\sf U_8 = 1024} [/tex]

Learn more

About geometric pattern

https://brainly.com/question/16762536

Answer details

grade: 7th

subject: mathematics

chapter: sequence

keywords: geometric sequence

Solve the following system of equations.
3 x + 2 y − 5 = 0
x = y + 10

Answers

Answer:(5,-5)

Step-by-step explanation:

Graphing these two equations means that they intersect at the point (5,-5)

What are the factors of -24 that have a sum of 5?

Answers

Answer:

Step-by-step explanation:

5 Easy as 1-2-3

5 is a prime number.

Prime factorization: 5 is prime.

The exponent of prime number 5 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 5 has exactly 2 factors.

Factors of 5: 1, 5.

Factor pairs: 5 = 1 x 5.

5 has no square factors that allow its square root to be simplified. √5 ≈ 2.236.

Bob says that when he multiplies (x+3) (x-3) he gets x^2-6x-9 is he correct explain

Answers

(x+3)(x-3)
x*x=x^2
x*-3=-3x
3*x=3x
3*-3=-9

where’s where he most likely messed up
x^2-3x+3x-9

the correct answer is x^-9

The price of milk increased from $2 to $2.50.What is the percent of the change for the price of the milk.

Answers

Answer:

20%

Step-by-step explanation:

im just built different

Answer:
25%

Step by step explanation:
Because It’s the correct answer and you should believe me.


2. A line has a slope of 5

Answers

Answer:

Step-by-step explanation:

Confused ‍♀️??

Answer:

I need more information

Step-by-step explanation:

A line has a slope of 5

whats the question??????????

What steps are needed to plot another point on this graph of equivalent ratios?

Answers

it’s the first one as your answer

Rewrite the sum of 75+18 as a product of a number and another sum

Answers

Answer:

(2)(9) + 75 = 75+18

Step-by-step explanation:

(2)(9) + 75 = 75+18

The expression written as a product of a number and another sum is 3(25 + 8)

Given the expression 75 + 18, we are to write as a product of a number and another sum.

First we need to find the GCF of 75 and 18

75 = 3 * 25

18 = 3 * 6

Since 3 is common to both D+GCF, we can factor it out from the expression to have:

75 + 18 = 3(25 + 8)

Hence the expression written as a product of a number and another sum is 3(25 + 8)

Learn more here: https://brainly.com/question/219464

i need help with this fast

Answers

AE = CE (given)
AB = CD (given)
E is the midpoint of BD (given)
BE = ED (if a point is a midpoint then it splits the segments into two congruent parts)
Triangles are equal/congruent ( By SSS)

i suck at this math stuff please help

Answers

Answer:

Its the second one

Step-by-step explanation:

second option shows exponential growth

( PLEASE ANSWER FOR 100 POINTS AND, BRAINLIEST ) (If you just put random letters just to get points, I'll delete your comment and report you.) (Please ANSWER!)

1.) Decide whether circumference or area would be needed to calculate it. Explain why!!! You do not need to solve it just state if it is circumference or area and why! The total number of equally-sized tiles on a circular floor.

2.) Decide whether circumference or area would be needed to calculate it. Explain why!!! You do not need to solve it just state if it is circumference or area and why! The amount of oil it takes to cover the bottom of a frying pan.

3.) Decide whether circumference or area would be needed to calculate it. Explain why!!! You do not need to solve it just state if it is circumference or area and why! The distance your car will go with one turn of the wheel.

Answers

Answer:

1. area, 2. area, 3. circumference

I'm not 100% sure but I think that's it

A line passes through the point (4,5) and has a slope of -5/4
Write an equation in slope-intercept form for this line

Answers

equation: y = -5/4x + 10
i took this test and studied this unit!!

PLEASE look at the photo of my computer to see the problem

Answers

Answer:

the answer is 2+2i√3

Step-by-step explanation:

hope this helps

Answer:

2 + 2i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

note that [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{4}[/tex] + [tex]\sqrt{-12}[/tex]

= 2 + [tex]\sqrt{4(3)(-1)}[/tex]

= 2 + ([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex] )

= 2 + 2i[tex]\sqrt{3}[/tex]

Please helppp number 11

Answers

Answer:

(1/3)⁷

Step-by-step explanation:

negative exponents work like this:

x⁻²=(1/x)²

Apply this theory to this equation:

3⁻⁷=

(1/3)⁷

Help please answer question 1 and 2

Answers

Answer:

here..

Step-by-step explanation:

1. LM, MN. and HF in that order.

1 pt2. L, G, N in that order

2. WX, XY, UV, VS in that order

and 2 pt2. W, X, U, V in that order

Another car dealership sells a truck for the wholesale price of $12,000. During a special sales event, the dealership offers a 10% discount off of the price. After the discount, how much will a customer pay for this vehicle? Show your work.

Answers

Answer:

$10,800

Step-by-step explanation:

Given that:

Wholesale price of the truck = $12,000

At the special sales event, the discount offered on the price = 10% of the wholesale price

Therefore the discount can be calculated as follows:

10% of Wholesale price

Wholesale price is given as $12,000.

[tex]\Rightarrow \dfrac{10}{100} \times 12000\\\Rightarrow \bold{\$1200}[/tex]

Now, we have to find the price to be paid by customer after the discount being offered due to the special sales event.

Discounted price = Wholesale price - Discounted offered due to special sales event.

Discounted price = $12000 - $1200 = $10,800

Therefore, the answer is:

$10,800



A 10-ft ladder leans against the side of a house. The bottom of the ladder is 7 from the side of the house. How high is the top of the ladder from the ground?
If necessary, round your answer to the nearest tenth

Answers

12.2 i’m pretty sure i hope it helped

Enter the solution (x ,y) to the system of equations shown.
y=-6
y=4x+12

Answers

Answer:

x=-4.5

Step-by-step explanation:

y= -6

y= 4x+12

-6 = 4x+12

-6 = 4x+12

-12 -12

_________

-18 = 4x

----- ------

4 4

-4.5 = x

In the figure above, rectangle V'W'X'Y' is a dilation of rectangle VWXY. What is the scale factor of the dilation?

A. 0.25
B. 2
C. 343 fourths
D. 14

Answers

Answer:

D. [tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Given that rectangle V'W'X'Y' is a dilation of rectangle VWXY, this means that the dimensions of rectangle VWXY was reduced by to get the dimensions of V'W'X'Y'.

Therefore, the ratio of any segment of V'W'X'Y', to a corresponding segment of VWXY would be equal to the scale factor.

W'X' = 5

WX = 20

Therefore:

Scale factor = [tex] \frac{5}{20} = \frac{1}{4} [/tex].

A scale factor that is a fraction tells us that the original figure reduced in size resulting into another new figure whose sides are of proportional lengths to the original figure.

In other words, the original figure was compressed go form a new figure.

ndkfkfkfkvmvmkflflkclf

Answers

Answer:

sdhsjahdsjahdkjsa

Step-by-step explanation:

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Answers

Answer:

Maybe figure 2

Step-by-step explanation:

If it is correct then

Plz plz mark me brainlist

Be happy

Hello People, so i am stuck on this and i would really LOVE if you helped me, and if you do you would get alot of points and even brainliest!

Answers

Answer:

-2.5 is the answer to this question

Answer:

so you put an arrow on -3 and then a arrow on or between 4 and 5 that will be 0.5

Step-by-step explanation:

pls mark me brainliest

10 2/7 to improper fraction

Answers

Answer:

72/7

Step-by-step explanation:

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