(a) (4,4) is a point on a locus whose equation is y2 = kx. Show that (16,8) is another point on the locus.
(b) (2,3) is a point on a locus whose equation is 5x +by= 16. Show that (0,8) is another point of the locus​

Answers

Answer 1

Step-by-step explanation:

plug the coordinate points into the equations and solve for the remaining variable.

b) (2,3) - 5(2) + b(3) = 16

10 + 3b = 16. 3b= 6. b = 2

(0,8) - 5(0) + 2(8) = 16. 0+ 16 = 16. ☆

a) (4,4) assume based on results you meant y squared. (y^2)

(4)^2 = 4k. 16 = 4k. k = 4

(8)^2 = 4(16). 64 = 64. ☆

Answer 2

Answer:

Please check the explanation.

Step-by-step explanation:

a)

Given

(4,4) is a point on a locus whose equation is y²=kx

Putting (4, 4) in y²=kx

(4)² = k(4)

16 = 4k

k = 16/4

k = 4

Checking the point (16, 8) on the locus

y²=kx

Putting (16, 8) and k =4 in y²=kx

y²=kx

(4)² = 4×4

16 = 16

L.H.S = R.H.S

Therefore, (16, 8) is another point on the locus.

b)

Given

(2, 3) is a point on a locus whose equation is 5x +by= 16

Putting (2, 3) in 5x +by= 16

5x+by=16

5(2)+b(3)=16

10+3b=16

3b=6

b=6/3

b=2

Putting (0, 8) and b=2 in 5x +by= 16

5x +by= 16

5(0)+2(8)=16

0+16=16

16=16

L.H.S = R.H.S

Therefore, (0, 8) is another point on the locus.


Related Questions

Andre wants to make a scaled copy of jada drawing so the side that corresponds to 4 units in jada polygon is 8 units of his scaled copy Andre says i wonder if i should add 4 units to lengths of all of the segments what would you say in response to Andre explain or show your reasoning

Answers

Answer:

No she should add extra lengths

Step-by-step explanation:

The difference between scaled copy  and jada drawing is that it is in the ratio

8:4

2:1

that is the scaled copy is twice as large as the jada drawing itself.

So every dimension is doubled or made twice as large as the initial measurement. Andre should not add 4 units to all sides instead the drawing is made twice as large . It will serve the same purpose of enlarging the drawing while maintaining its shape. If extra mesurements are added the drawing will be changed.

determine the linear factors 18x^3-34x^2+16x

Answers

Answer:

good luck tho oh and dont forget to tell me the answer

Step-by-step explanation:

Answer:

2x(9x - 8)(x - 1)

Step-by-step explanation:

If you work 40 hours in a week and make $800. If the how much money you will make varies directly
with hours you work, how much will you make if you work 60 hours?

Answers

Answer:

$1200

Step-by-step explanation:

20 hours makes $400

so when you add 20 hours to 40 hours its basically adding $400 to $800

What is the y-intercept of y = -3 – 7x?
Choose 1 answer:
А
(0,-7)

(0, -3)
(-7,0)
(-3,0)

Answers

Answer:

A, sorry if wrong but it can't be b or d

Solve the system of linear equations by substitution.

x=2y+7
3x−2y=3
solution: (
,
)

Answers

y=-4.5 and x=-2
So your first “equation equals to x so then you substitute the X in the second equation with the first equation. Which would give you 3(2y+7)-2y=3 then you solve (make sure to distribute). Which would give you y=-4.5 Can you substitute your y answer in your first equation. Which would be x= 2(-4.5)+7 then your solve

6 x 1/4 Multiply 1/4 how many times? Move from 0 to where. Product:

Answers

Answer:

Multiply 1/4 six times.

Start from zero and move 1/4 six times.

Product: 1 2/4      Other equivalent fractions: 2/3, 1 4/8, 18/12

Step-by-step explanation:

1.  1/4                      

2. 1/2 (2/4)

3. 3/4

4. one whole (4/4)

5. 5/4 ( 1 1/4)

6. 6/4 ( 1 2/4) (1 1/2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1. 1/4 + 1/4 = 2/4

2. 2/4 + 1/4 = 3/4

3. 3/4 + 1/4 = 4/4

4. 4/4 + 1/4 = 5/4

5. 5/4 + 1/4 = 6/4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1/4 times 6.                                      In other ways..  

6/4                                                                    1/4 times 6/1 = 6/4

i really hate math so please

Answers

Answer:

personally i think c

Step-by-step explanation:

its because for the graph there is 90 and it has a point and when i used a calc i put the points and the a=18 so 90 eould be 18 again this what i think i am not really AMAZING at it but i get some of it for ex the chart equals it only equals a=5

4x+7=43 solving two-step equations

Answers

Answer: [tex]x = 9[/tex]

Step-by-step explanation:

[tex]4x=43-7 = 36\\x =36/4 = 9\\x = 9[/tex]

Write the ratio 12 to 18 as a fraction in simplest form.

Answers

x to y can be expressed as a fraction this way: x/y.

Let x = 12

Let y = 18

12/18

We can now reduce to lowest terms.

Dividing 12 and 18 by 6, we get 2/3 as the final answer.

The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.

To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:

12 ÷ 6 = 2

18 ÷ 6 = 3

Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.

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what is the value of the expression below when z=4
10z=3

Answers

Is there anything else other than this?

Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

Please help I hate doing these.

Answers

Answer:

Step-by-step explanation:

a). 3 ...... 8

3 × 8 = 24

3 + 8 = 11

b). n + 1.5 = 6.5 ⇒ n = 5 (across from OR to the left from 1.5)

5 × 1.5 = 7.5 (under the X sign)

The function y = (x + 4)4 is a transformation of the graph of the parent function y = x4. How is the zero of the parent function affected by the transformation?
A The zero of the function is shifted 4 units to the right.
B The zero of the function is shifted 4 units down.
C The zero of the function is shifted 4 units to the left.
D The zero of the function is shifted 4 units up.

Answers

The answer is C but not sure about it please double check it


Thank you

I hope it’s help you

The correct answer is option C which is  The zero of the function is shifted 4 units to the left.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

When we plot the functions on the graph we can see that the vertex of the parabola is shifted from the ( 0,0 ) to ( 4,0 ).

Therefore the correct answer is option C which is . The zero of the function is shifted 4 units to the left.

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Hi can you please help me

Answers

Answer:

the y-intercept is 5 the slope is 3

Step-by-step explanation:

Y-intercept is 5 slope is 3

1/8 of a number is less than or equal to 3

Answers

Answer:

1/8n<3

Step-by-step explanation:

The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.

Answer:

1/8n<3

Step-by-step explanation:

WILL GIVE BRAINLIEST TO CORRECT ANSWER(S)

A: What is the value of the correlation coefficient?

A: -0.93
B: 0.96
C: ±1.00
D: -0.96
E: 0.93

B: How strong is the relationship between the two data sets?

A: perfect
B: no strength
C: moderately strong
D: weak
E: very strong

If the trend continues, about how many hours would you expect a student to have studied if the student scores a 68 on the exam? Round your answer to the nearest hundredth.

A: 8.39 hours
B: 8.50 hours
C: 7.83 hours
D: 9.00 hours
E: 8.96 hours

Plz help this is was due yesterday.

Answers

Answer:

A: The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.

B: he correlation coefficient is a statistical calculation that is used to examine the relationship between two sets of data. The value of the correlation coefficient tells us about the strength and the nature of the relationship. Correlation coefficient values can range between +1.00 to -1.00.

Step-by-step explanation:

Hopefully this helped!!!

what is 2.49 x 10^4 divided by 3.0 x 10^2 written in scientific notation?
A. 8.3 x 10^1
B. 0.83 x 10^2
C. 83 x 10^2
D. 830 x 1^1

HELP ASAPPPP!!!!!!!!!!!!

Answers

The rewritten form of the number 2.49 x 10^4 divided by 3.0 x 10^2 in scientific notation as required in the task content is; Choice A; 8.3 × 10¹

What is the number 2.49 x 10^4 divided by 3.0 x 10^2 written in scientific notation?

According to the task content, it follows that the result of the quotient is to be determined.

The quotient can be evaluated as follows;

= (2.49 × 10⁴)/(3.0 × 10²)

= (2.49/3.0) × (10⁴/10²)

= 0.83 × 10²

Hence, when expressed in scientific notation, the result is; 8.3 × 10¹.

Ultimately, The rewritten form of the number 2.49 x 10^4 divided by 3.0 x 10^2 in scientific notation as required in the task content is; Choice A; 8.3 × 10¹.

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NEED ANSWER FAST: Write an equation of the line passing through the points (4,16) and (-1, - 14).

Answers

Answer:

y=6x-12

Step-by-step explanation:

y2-y1

--------

x2-x1

Someone please I’m begging this is due by midnight and I can’t have it be late

Answers

Answer:

(1) Coeficcient (2) Constant (3) 4 terms (4) In descending order, 2, 1, 3, 4 (5) -2 (6) 1 (7) 5 (8) 2 (9) -15, 5x, -7x^2, 2x^3 (10) -4x^2y, 2xy, 5x, 7

Step-by-step explanation:

Sorry if I got one wrong

Answer:

1) Coefficient

2) Constant

3) 4

4) 3x^2 = 2

10x = 1

6x^3 = 3

x^2y^2 = 4

5) 3

6) 2

7) 5

8) 1

9) 2x^3-7x^2+5x-15

10) -4x^3y+2xy+5x+7

Please help!



What is 7% of 600

Answers

Answer:

42

Step-by-step explanation:

Hope this helps

The scatterplot shows the average number of hours each of 12 people spends at work every week and the average number of hours each of them spends on recreational activities every week. Based on the scatterplot, what is the best prediction of the average number of hours a person spends on recreational activities every week if that person spends an average of 40 hours at work every week?

A) 17
B) 22
C. 28
D) 33​

Answers

Answer: 22

Step-by-step explanation: I took the test

Answer:

22

Step-by-step explanation:same but in the past

simplify (1) ✓(125 square) -1/3. (2) (18/32)-3/2​

Answers

The answers are 1. 10.8 and 2. -15/16 or -0.93

HELPPPPPPPPPPP

WHAT IS 67+8,900+12+14+15????

Answers

Answer:

9,008

Step-by-step explanation:

67 + 12 = 79

14 + 15 = 29

79 + 29 = 108

8,900 + 108 = 9,008

plz mark me brainliest

Answer:

9008

Step-by-step explanation:

67+8,900= 8967

8967+12= 8979

8979+14 = 8993

8993+15=9008

the deer population in an an area decreased by 28 each year for 6 years. find the total change in population.

Answers

Answer:

168 is the change in population

Step-by-step explanation:

well if u think about it all u really have to do is take 28×6 and it would help u find the change in population

Answer:

The total change is -168.

Step-by-step explanation:

The deer population changed 6 times, and it decreased by 28 each time, so the equation is:

6 times -28 (because the population is decreasing) = -168

Hope this helps :)

Please help me you’ll get brainlest last one!!!!!
5/5

Answers

Answer:

Point X is the loacation [tex]\pi[/tex], and is an irrational number

Step-by-step explanation:

[tex]\pi[/tex] ≈ 3.14

it is also a irrational number

One runner has run 15 miles this month and plans to run 2 1/2 miles per day for the rest of the month. Another runner has not yet run this month but plans to run 3 1/4 miles per day for the rest of the month. After how many days will the two runners have run the same number of miles?

Answers

Answer:

After 20 days, the two runners will have run the same number of miles

Step-by-step explanation:

The problem can be solved by using equations. However, we'll approach the solution by using pure reasoning and logic, besides calculations.

The first runner has already run 15 miles this month and plans to run 2 1/2=2.5 miles per day for the rest of the month.

The other runner has not yet run and plans to run 3 1/4 = 3.25 miles per day for the rest of the month. Since his running rate is greater than the other runner, they will both eventually have the same number of miles.

The difference in their running rates is 3.25 - 2.5 = 0.75 miles per day. Since the current difference between them is 15 miles, the second runner needs to run for 15 / 0.75 = 20 days.

After 20 days, the two runners will have run the same number of miles

Select the equation that can be used to solve log4(x+4)+log4(x-2)=2

Answers

Answer:

option b ......................

The equation that can be used to solve  log₄(x + 4) + log₄(x - 2) = 2 is

x² + 2x - 8 = 0.

What is a logarithm?

The logarithm is the opposite of the exponential function.

This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.

Given, log₄(x + 4) + log₄(x - 2) = 2.

We know logₐx + logₐy = logₐxy.

log₄(x + 4)(x - 2) = 2.

log₄(x² - 2x + 4x - 8) = 2.

log₄(x² + 2x - 8) = 2.

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Hey can someone please help quickly thanks!

Answers

Answer:

360,000

Step-by-step explanation:

just multiply by 3

Answer:

3,120 second year 3,244.80 the third year.

Step-by-step explanation:

4% of 3,000 is 120

so 3,120 then 3,244.80 the third year after the 4% is compounded

Hi again so this problem I got stuck on can someone help me with this thank u so much and also I hope everyone had a good thanksgiving ❤️

Answers

Step by step:

A:

2x+8=-3.5x+19

2x+3.5x=19-8

5.5x=11

x=2

B:

9(x-2)=7x+5

9x-18=7x+5

9x-7x=5+18

2x=23

x=11.5

C:

3(3x+2)-2x=7x+6

9x+6-2x=7x+6

7x+6=7x+6

No solution

determine which fraction is larger 3/7 or 1/3 find the common denominator

Answers

Answer:

LCM is 21

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3}{7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3×3}{7×3}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{2}}[/tex]

.

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1}{3}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1×7}{3×7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {7}{21}}[/tex]

____________________

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{21}}\iff {\dfrac {7}{21}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf {\dfrac{9}{21}} \gt {\dfrac {7}{21}}[/tex]

[tex]\therefore[/tex][tex]\sf {\dfrac {3}{7}} \gt {\dfrac {7}{21}}[/tex]

need helpp!!
Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?

Answers

Answer:

$32.65 is the answer.

Step-by-step explanation:

First, we must calculate 7.25% of 30.45.

30.45 x 0.0725 = $2.20

Now, we must add this to the original price

$30.45 + $2.20 = $32.65

Therefore, $32.65 is the total cost of his purchase.

Hope this helps! :)

Answer:

$32.66

Step-by-step explanation:

before tax = $30.45

tax sales = 7.25%

total cost = $30.45 x 1.0725

               = $32.66

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