Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the sphere intersects the yz-plane. Find the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

Answer: They ate at the same pace.

Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.

18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.

Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)

Answer:

let x = the amount of orange juice in a full glass.

the glass is 1/6 full = 1/6 * x

add 95 cubic centimeters and the glass becomes 4/5 full.

equation for that is:

1/6 * x + 95 = 4/5 * x

subtract 1/6 * x from both sides of this equation to get:

95 = 4/5 * x - 1/6 * x

multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:

95 = 24/30 * x - 5/30 * x

combine like terms to get 95 = 19/30 * x

multiply both sides of the equation by 30/19 to get:

30/19 * 95 = 30/19 * 19/30 * x

simplify to get:

30/19 * 95 = x

solve for x to get x = 150.

the volume of the glass is 150 cubic centimeters.

1/6 * 150 = 25

4/5 * 150 = 120

the difference between 4/5 full and 1/6 full is 95 cubic centimeters.

solution is that the volume of the glass is 150 cubic centimeters.

Step-by-step explanation:

Answer:

length=4

Width=2×4-3=5

Step-by-step explanation:

Let length =X

Width =2x-3

Perimeter=18

2(length+width)=18

2(X+2x-3)=18

3x-3=9

3x=12

X=12/3

X=4

So length=4

Width=2×4-3=5

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{Length \: = \: 4 \: cm}}}}[/tex]

[tex] \huge{ \boxed{ \bold{ \sf{Width = 5 \: cm}}}}[/tex]

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☯ Question :

☯ Step - by - step explanation :

✒ First, Let length of a rectangle be ' L '.

✑ Given :

☞ Finding value of length of a rectangle :

[tex] \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(L + W)}}[/tex]

Plug the values and solve for L

➺ [tex] \sf{18 = 2(L+ 2L - 3)}[/tex]

➺ [tex] \sf{18 = 2(3L - 3)}[/tex] { Add : 2L and L )

➺ [tex] \sf{18 = 6L - 6}[/tex] { Distribute 2 through the parentheses )

➺ [tex] \sf{6L - 6 = 18}[/tex] { Swipe the sides of the equation }

➺ [tex] \sf{6L = 18 + 6}[/tex] { Move 6 to right hand side and change it's sign )

➺ [tex] \sf{6L = 24}[/tex] { Add the numbers : 18 and 6 }

➺ [tex] \sf{ \frac{6L}{6} = \frac{24}{6}} [/tex] { Divide both sides by 6 }

➺ [tex] \boxed{ \sf{length \: ( \: L\: ) \: = \: 4 \: cm}}[/tex]

☞ Now , Evaluating 2L - 3 when L = 4 cm in order to find the value of width of a rectangle : [tex] \sf{2l - 3}[/tex]

➺ [tex] \sf{2 \times 4 - 3}[/tex] { Plug the value of length }

➺ [tex] \sf{8 - 3}[/tex] { Multiply 2 by 4 }

➺ [tex] \boxed{ \sf{Width \: ( \: W \: ) \: = \: 5 \: cm}}[/tex]

Hence ,

Hope I helped!

Have a wonderful day! ツ

~TheAnimeGirl ♡

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Answer:

a=15

Step-by-step explanation:

2a-10=20

2a=30

a=15

can i have one brainliest plz

Answer:

a = 15

Step-by-step explanation:

I assumed you were trying to solve for A :)

3a - 10 = a + 20

1. Combine like terms (A's on side, numbers on the other).

3a - 10 = a + 20

-a           -a

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

2a - 10 = 20

     +10   +10

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

2a = 30

Now that all of your like terms are combined, work to isolate A. The only way to do this is to divide by 2 on both sides of the equal sign.

[tex]\frac{2a}{2} = \frac{30}{2}[/tex]

This leaves you with a = 15, which is your answer if you are told to solve for A

I hope this helps!

I will find x, so 4x-4=180, so 4x=184, so x=46

Sorry if i answered wrong I don't understand what it is asking for.

Answer:

y=0.20x+40; y=1.00x

Step-by-step explanation:

Company 1 is charging upfront and then after u have a unknown variable for how many miles you drive. Company 2 is only charging you 1.00$ per mile driven and depending on how many miles you drove will depend on how much you will pay.

Answer:

241 = f1

    10   16

Step-by-step explanation:

241 Decimal To Hexadecimal Conversion:

step 1 Perform the successive MOD 16 for the given decimal number 241 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).

241 / 16 = 15   : Remainder is 1 → LSB

15 / 16 = 0   : Remainder is 15 → MSB

step 2 Write the remainders from MSB to LSB provide the equivalent hex number

f1

241 = f1

    10   16

Decimal

241

Hex

F1

Binary

11110001

Answer:

x = 60

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

we know that triangles have 180 degrees so we can set up an equation:

86 + 34 + x = 180

now we subtract the sum of 86 and 34 from both sides to get a final answer:

x = 60

so lets plug our x value into the previous equation to check our answer:

86 + 34 + 60 = 180

when we add these numbers together, the equation checks out so we know our answer is correct.

hope this helps!

Answer:it’s prob less than seven btw

Step-by-step explanation:

Answer:

-35 is your answer.

Step-by-step explanation:

...... .....

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30

Answer:

-19+n

OR

n-19

Step-by-step explanation:

The image of the point after the reflection over x axis is P' ( -1 , 4 )

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the point be represented as P

Now , the coordinates of the point P is P ( -1 , -4 )

The point P is reflected over the line x axis ,

So , when you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

Substituting the values in the equation , we get

The image of the reflected point is P' ( -1 , - ( -4 ) )

The image of the reflected point is P' ( -1 , 4 )

Hence , the reflected point is P' ( -1 , 4 )

To learn more about reflection click :

https://brainly.com/question/4681298

#SPJ2

Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

Answer:

Zero Slope

Step-by-step explanation:

rise over run or y2 - y1 / x2 - x1

6-6/5-2 = 0/3

YOu got the right answer!! good job for you! keep up the good work! plz mark me the brainliest PLZZ!!!!!

Answer:

hey you got it

Step-by-step explanation:

its b

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

difference of 2 given sides < x < sum of 2 given sides , that is

15 - 10 < x < 15 + 10

5 < x < 25

The possible side lengths for the third side from the given list are

9, 12, 13, 21

Answer:

5 dolla footlong

Step-by-step explanation:

Answer:

100+100=200 it's an mathmatecial answer

Answer:

B

Step-by-step explanation:

12 is 1/4 of 48 so when you take $12 off $48 you take 1/4 of 25% away

Answer:

try the second one on top

Step-by-step explanation:

Answer:

$4,000

Step-by-step explanation:

.15x = $600

.15x = $600.  divide both sides by .15

.15.       .15

x = $4,000

Answer:

3

Step-by-step explanation:

Add the numbers and then divide by 3 (the number of numbers there are)

Answer:

3kg 700g

hope it helps:-) :-)

divide 42 cm. by 5 minutes, which leaves you with 8.4 cm/minute. hope this helps, please mark brainliest and have a great day

Answer:

175792

Step-by-step explanation:

8 x 2 = 16

16 x 10987 = 175792

Answer:

domain= all real numbers

Range= y>=0

Step-by-step explanation:

Answer:

ob

Step-by-step explanation:

Answer:

10

Step-by-step explanation: