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2 years ago

Give the equation of the circle centered at the origin and passing through the point (0,5)

Mathematics

1 answer:

Julli [10]2 years ago

5 0

Answer:

$x^{2} +y^{2}=25$

Step-by-step explanation

The standard equation of a circle centered at origin is $x^{2} +y^{2} =r^{2}$

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius $r=\sqrt{(0-0)^{2}+(5-0)^{2} }$

$r=\sqrt{0+25}$

$r=\sqrt{25}$

$r^{2}=25$

∴ The equation of the circle is

$x^{2} +y^{2} = 25$

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Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B c

Elden [556K]

The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

For the first equation

8n = 20 + 6n

Collect like terms

8n - 6n = 20

2n = 20

Then, n = 20 ÷ 2

n = 10 GB

For Plan A

No initial fee and $8 for each GB

Here, 10GB will cost 10 × $8 = $80

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68

∴ Plans A and B do not cost the same here.

For the second equation

8n = 20(2n) + 6

First, clear the bracket

8n = 40n + 6

Now, collect like terms

40n - 8n = 6

42n = 6

∴ n = 6 ÷ 42

n = 1/7 GB

For Plan A

No initial fee and $8 for each GB

Here, 1/7GB will cost 1/7 × $8 = $1.14

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 1/7GB will cost $20 (Since the lowest cost is $20)

∴ Plans A and B do not cost the same here.

For the third equation

8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

2n = 8

n = 8 ÷ 2

n = 4 GB

For Plan A

No initial fee and $8 for each GB

Here, 4GB will cost 4× $8 = $32

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32

Plans A and B do not cost the same here.

∴ Plans A and B do cost the same here

For the fourth equation

8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = $\frac{26}{6}$

n = $\frac{13}{3}$ GB or $4\frac{1}{3}$ GB

For Plan A

No initial fee and $8 for each GB

Here, $\frac{13}{3}$ GB will cost $\frac{13}{3}$ × $8 = $34.67

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, $4\frac{1}{3}$ GB will cost $20 + ( $2\frac{1}{3}$ × $6) = $20 + $14 = $34

∴ Plans A and B do not cost the same here.

Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

Learn more here: brainly.com/question/9371507

6 0

1 year ago

<img src="https://tex.z-dn.net/?f=%28x%20-%201%29%28%20x%20-%20%28%20%5Cfrac%7B1%7D%7B2%7D%20%2B%203i%29%28x%20-%20%28%20%5Cfrac

abruzzese [7]

$(X-1)(\frac{37}{4} -3ix+\frac{x}{2} )$

Hope this helps

Mark me as brainliest pls begging u

3 0

3 years ago

An art teacher has a total of 5/8 pound of clay.The teacher puts 1/32 pound of clay at each work station.How many total work sta

defon

Answer: Total work stations = 20

Step-by-step explanation:

Total clay = $\dfrac58$ pound

Clay at each work station = $\dfrac1{32}$ pound

Total work stations = (Total clay ) ÷ (Clay at each work station )

$=\dfrac58\div\dfrac{1}{32}\\\\=\dfrac58\times32\\\\= 5\times4\\\\= 20$

Hence, Total work stations = 20

7 0

3 years ago

Sale amount is $12,500. Sales Tax is 5%. What is the new amount?

dalvyx [7]

Answer:

13,125.

Step-by-step explanation:

you do 12,500 times .05 = 625 then add 12,500 and 625 then you get 13,125

8 0

2 years ago

Ramon and Justine are watching different broadcasts of a parade on television. The broadcast Ramon is watching airs commercials

lesya [120]

Since there is a short difference between the starting and ending times, we calculate the schedule of each commercial and then compare the broadcasting times.

Commercials of the broadcast Ramon is watching air at:

7.17, 7.34, 7. 51, 8.08, 8.25, 8. 42 8.59 a.m.

Commercials of the broadcast Justice is watching air at:

7.14 7.28 7.42 7. 56 8.10 8.24 8.38 8.52 a.m.

we can check that there are no matching commercial times.

The commercials will not air on both broadcasts at the same time in the interval 7:00 a.m to 9:00. a.m

Answer: never

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3 years ago