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

Answers

Answer 1

Answer:

A)  x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0

B) radius = 5

center  = (4,-1,-3)

Step-by-step explanation:

[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]

A ) Determine the curve in which the sphere intersects the yz-plane

determine the radius ( r ) =  √((6-(-1))2+(-2-2)2+(3-1)2) = √69

next the equation of the sphere ( curve in which the sphere intersects the yz-plane )

x^2+2x+y^2-4y+z^2-2z-63 = 0

B) determine the center and radius of the sphere

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

(x-4)2+(y+1)2+(z+3)2 = 25 = 52

radius = 5

center  = (4,-1,-3)


Related Questions

Identify the method that will be used in solving for X
5+x=3/4
A• distributive property
B• multiplication property of equality
C• division property of equality
D• subtraction property of equality

Answers

Answer:D• subtraction property of equality

Step-by-step explanation:subtract 3/4  on both sides?????

D. Subtraction property of equality

If there are 10 roses, 4 daisies, and 12 carnations in a vase, what are the chances of NOT picking a carnation?

Write your answer as a fraction.

Answers

The answer is 14/26 because you add the number of roses and daises for the numerator and you add up the whole total for the denominator
14/26 should be ur answers!!! cred to person
above

Evaluate ab + c for a = 2, b = 3, and c = 4. 10 27 9

Answers

Substituting the values given, we get
(2)*(3) + 4 ;
Using BODMAS
We get
6 + 4
= 10

u guys are very helpful <3​

Answers

35 degrees is the answer for x

Answer:

x=35

Step-by-step explanation:

70+75is 145

and a triangle is equal to 180 degrees

so 180-145 gives you 35 :)

What is the slope? I will brain list you

Answers

Answer: It describes the direction and the steepness of the line.

Step-by-step explanation:

3 that’s it ma home I

The sum of two numbers is fifteen. One number is five more than the other. Find the numbers.

Note: List numbers with a comma separating them, e.g. 5,12.

Answers

Answer:

5,10

Step-by-step explanation:

10 is 5 more than 5 therefore

5+10=15

Answer:

5,2,2,2,2,2

Step-by-step explanation:

2+2+2+2+2=10

10+5=15

Which equations are equivalent? Select all that apply.

2n + 4n + 3 = 51
3n + 4 + 5n = 52
3(2n + 6) = 36
8n + 4 = 52
4(2n + 1) = 52

Answers

3n+4+5n=52, 8n+4=52, and 4(2n+1)=52

Which histogram represents this data set?
47,48,49,50,50,54,54,55,57,59,61

Answers

Histogram b is the answer

Which of the following is a true statement?

3/5 8/24

4/8 8/24

Answers

Answer:

B

Step-by-step explanation:

6/16 = 0.375

8/24 = 0.33333...

4/8 = 0.5

6/16 = 0.375

therefore, B is correct

A cylindrical garbage can has the dimensions shown.
A cylinder has a diameter labeled twelve inches and height labeled fifteen inches.
What is the area of the horizontal cross section of the cylinder? Use 3.14 for π.

Answers

Answer:

113.04 square inches

Step-by-step explanation:

Horizontal cross-section of a cylinder is a circle with same dimension as its base

Given diameter

12 inches

Area formula

A = πr² = πd²/4

So the area of cross section is:

A = 3.14*12²/4 = 113.04 square inches

Simplify.

7/8+(−2/3)
---------------
5/6

Enter your answer as fraction in simplest form by filling in the boxes.​

Answers

Answer:

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

Step-by-step explanation:

[tex]\frac{7}{8} + \frac{-2}{3}[/tex]= [tex]\frac{5}{24}[/tex]

[tex]\frac{5}{24}[/tex]÷[tex]\frac{5}{6}[/tex]=[tex]\frac{30}{120}[/tex]

[tex]\frac{30}{120}[/tex]=[tex]\frac{1}{4}[/tex]

Please give me Brainlest!

Identify the index in the radical below.
V34
A 3
B. 4
C. 7
D. The radical above does not have an index.

Answers

the index is where the number 7 is

so your answer is C.

Answer:

I am going to say the answer is D.The radical above does not have an index.

help pls- 10 points- algebra 1


solve for x

-8x+14 ≥ 60 OR − 4x+50 -2

D.) There are no solutions

Answers

Answer:

-8x+14 ≥ 60

Inequality Form:

x< -23/4

Interval Notation:

(−∞,−23/4)

find the value of 'x' in the given figure

Answers

Answer:

x=10

Step-by-step explanation:

The value of x is 10

rate me and thank me!!!

Answer:

x=4

Step-by-step explanation:

.................

Two angles of a triangle have the same measure and the third one is 30 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answers

Answer:

75 degrees

Step-by-step explanation:

Isosceles triangle with 3rd angle being 30 degrees:

2x + 30 = 180

2x = 150

X = 75

Ответ равен = 75 ниже фото

What is the difference between 43.68 - 40.67

Answers

It would be 3.01 because 40.00-40.00 is 0 then take away the other numbers 3.68- 0.67 is 3.01

Since the 1800s, fossil fuels have been used to meet the energy needs of many human activities.

Select TWO statements that describe what the scientists will observe in the ecosystem after fossil fuels have been extracted and burned.

Group of answer choices

There is more available space for carbon to become fossil fuels.

There is less carbon in storage.

There will be less carbon in the water.

There is more carbon in the atmosphere.

There will be more carbon respired by organisms.

There will be less carbon released through decomposition.

Answers

Answer:

Below.

Step-by-step explanation:

There will be more carbon in the atmosphere.

There is less carbon in storage.

Answer:

1. There is more carbon in the atmosphere.

2. There is more available space for carbon to become fossil fuels.

Step-by-step explanation:

When plants and animals die, their bodies, wood and leaves decays bringing the carbon into the ground. Some is buried and will become fossil fuels in millions and millions of years. Each year, five and a half billion tons of carbon is released by burning fossil fuels. Of this massive amount, 3.3 billion tons stays in the atmosphere. When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which contribute to the formation of smog and acid rain.

What is the equation represented by this line?

Answers

Answer:

y=4/3x+2

Step-by-step explanation:

slope is rise over run so you go up 4 and over 3 then add the y wich is 2

Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £78.40.
They share the tips in the ratio 2:1:5.
How much more does Brian get over Colin?

Answers

Let 2x = Paul

Let x = Colin

Let 5x = Brian

2x + x + 5x = 78.40

8x = 78.40

x = 78.40 ÷ 8

x = 9.8

Brian gets 5(9.8) which is 49.

Colin gets 9.8.

Brain over Colin means 49/9.8 = 5.

Brain gets £5 more than Colin in terms of a tip.

The ratio of the side lengths of a triangle is 2:3:4. The shortest side is 15 inches. What is the perimeter? Explain. Pleas show your work. I will give brainiest to the best and first answer

Answers

Ratio of the sides of the triangles,

2 : 3 : 4

Let's consider each side to be

2x,3x and 4x

Therefore the perimeter of the triangle is,

2x + 3x + 4 x = 9x

The shortest side is 15 inches.

We know that the smallest value in the above ratio is 2

Therefore,

2x = 15 inches

x = 7.5 inches

Perimeter of the triangle

= 9x

= 9 * 7.5 inches

= 67.5 inches

daca stim cel mai mare divizor comun si cel mai mic multiplu comun,in ce mod aflam produsul? (raspunsuri troll iau raport) (troll answers will get reported)

Answers

Answer: i think this is romanian? so here is the answer in romanian

Pur și simplu, cel mai mare factor comun al lui a și b atunci când este înmulțit cu cel mai mic comun al lui a și b este egal cu produsul lui a și b ....

Puteți determina LCM de 12 și 16 folosind două metode

Step-by-step explanation:

Chang spent a total of $80 at the grocery store. Of this amount, he spent $36 on fruit. What percentage of the total did he spend on fruit?

Answers

Answer: 28 percent i believe

Step-by-step explanation:

Answer:

brandoncardona2007

Step-by-step explanation:

They are always right no matter what

A farm lets you pick 3 pints or raspberries for 12.00 how many pints do you get per dollar

Answers

you get 1/4 a pint for 1 dollar. Because each pint is 4$,

What is 3/5written as a decimal?

Answers

Answer:

0.6

Step-by-step explanation:

Not much math here.

Answer:

Step-by-step explanation:

0.6 hope this helps

which value of p is the solution of 5p-1=2p+20​

Answers

Answer:

p=7

Step-by-step explanation:

5p-1=2p+20 first add 1 to both sides to get 5p=2p+21, then subtract 2p from both sides to get 3p=21, then divide by three to get p=7

I NEED HELP ... please help me.

Answers

∆STU= ∆EDC∆WVU=∆WNM

Step-by-step explanation:

here = means the similar triangle plz don't confuse. And 1. is proved by SSS axiom or SAS axiom and 2. is proved through SAS axiom will be much more better.

Answer:

1. ∆STU- 75

2. ∆WVU-55

3. 65+ 50 =115 -180= 65

Get it right and ill paypal 25$ if ur fast

Answers

ight what do i gotta answer tho

Use a system of linear equations to find the quadratic function
f(x) = ax2 + bx + c
that satisfies the given conditions. Solve the system using matrices.
f(−2) = −5, f(1) = −8, f(2) = −25

Answers

Answer:

c

Step-by-step explanation:

You survey 50 people and 44 say​ "yes." What fraction of the people say​ "yes?" What percent of the people say​ "yes?"

Answers

Answer:

percent 88%

fraction 44/50

ratio 44:50

Step-by-step explanation:

PLSSS HELP ILL MARK BRAINLIEST!!!!
What is the value of the expression shown below?
3+ (2 + 8)^2 = 4x(1/2)^4

Answers

Answer:

412

Step-by-step explanation:

103=4x(1/16)

103*16=4x

103*4=x

412=x

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