PLEASE HELP DUE SOON FIRST GOOD ANSWER GETS BRAINLIEST

show that x^2 + y^2 + z^2 = 3(2x-y) -1 is a sphere

Answers

Answer 1

Step-by-step explanation:

x² + y² + z² = 3(2x - y) - 1

x² + y² + z² = 6x - 3y - 1

x² - 6x + y² + 3y + z² = -1

(x - 3)² + (y + 1.5)² + z² = -12.25

(x - 3)² + (y + 1.5)² + z² = -(3.5)²

Since it follows the general equation form, it is a sphere.


Related Questions

If a room has a length of 15 feet, then what is the length in yards? Hint: 3 feet= 1 yard​

Answers

Answer:

5 yards

Step-by-step explanation:

Given;

1 yard = 3 feet

The length of a room is 15 feet

Find;

The length of the room in yards

Set up a proportion;

[tex]\frac{1yard}{3feet}=\frac{x-yards}{15feet}[/tex]

Solve;

x = 5 yards

ANSWER FAST PLS HAVE 5 MIN FOR THIS


Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x

Answers

Answer:

Y=375x

Step-by-step explanation:

thats the answer

A rate in which the first quantity is compared to 1 unit of the second quantity

Answers

Answer:

it will compare unit to some quanlity to a different number of units of a different queality.

Step-by-step explanation:

a/b=c/d proportions are two fractions that are equal example: 1/2=2/4

Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y

Answers

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

Please solve if so thank you so much!!

Answers

Answer:

60 x 4

Step-by-step explanation:

Answer:

y=35x+60

x=4

Step-by-step explanation:

Which expression is equivalent to the expression below? 7x+5y+x+x+x+x 7x+5y+x+x+x+x

Answers

the answer is 22x + 10y

Step-by-step explanation:

7x+7x+x+x+x+x+5y+5y+x+x+x+x = 22x + 10y

In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are

Answers

Answer:

AC ; AB ; BC

Step-by-step explanation:

Recall that largest angles will oppose largest sides in a triangle, therefore, the angles in order of greatest to smallest are:

<B (84); <C (60);  <A (36)

Their opposite sides will keep the same order from largest to smallest:

AC ; AB ; BC

The side lengths, in order from greatest to least, are

AC

AB

BC

Please help!!! Will give brainliest!!!

Answers

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

Sam and Marsha both solved the prime factorization of the number
120 and the table below shows their results. Who is INCORRECT? *
if you could also help with the question on the bottom please do.

Answers

Answer:

Sam is incorrect

Step-by-step explanation:

I am not a dependable source

please help, thanks :)​

Answers

I think its A OR C I just think

Answer:

D :)

Step-by-step explanation:

You buy a watch that cost $45.50. The tax on the watch is 7.5%. What is the final cost of the watch? *
1 point
$3.41
$53.00
$42.09
$48.91

Answers

Answer:

$48.91

Step-by-step explanation:

$45.50 * 1.075 or 7.5% = $48.91

D is the correct answer 48.91$

Hamda and Layla get paid per project.

Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.

Layla is paid a project fee of AED 18 plus AED 14.25 per hour.

Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.

Show your steps

Answers

Answer:

[tex]Company: 43 + 24.75h[/tex]

Step-by-step explanation:

Given

Hamda:

[tex]Project\ Fee = 25[/tex]

[tex]Hourly\ Rate = 10.50[/tex]

Layla:

[tex]Project\ Fee = 18[/tex]

[tex]Hourly\ Rate = 14.25[/tex]

Required

Derive an expression for total pay

Represent the number of hours with h.

For Hamda and Layla, their pay for h hours is:

[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]

For Hamda, we have:

[tex]Hamda : 25 + 10.50 * h[/tex]

[tex]Hamda : 25 + 10.50 h[/tex]

For Layla, we have:

[tex]Layla: 18 + 14.25 * h[/tex]

[tex]Layla: 18 + 14.25 h[/tex]

For h hours, the company will pay:

[tex]Company: Hamda + Layla[/tex]

[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]

Collect like terms

[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]

[tex]Company: 43 + 24.75h[/tex]

4) What type of sequence is shown: 1, 2, 4, 7, 10,...

Answers

Answer:

Stohr sequence

Step-by-step explanation:

Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence

The question with the options are in the picture ^ plz and thank you

Answers

Answer:

A 90

Step-by-step explanation:

What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)

Answers

Apply l'Hopital's rule:

[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]

where

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]

follows from the fundamental theorem of calculus.

What is the equivalent of 5f + 7f

Answers

Answer:

12 f

Step-by-step explanation:

The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?

Answers

30 70 90 are the angles of the triangle hope this is helpful


Write the equation of a line with a slope of O through the point (3, -1).
y = 3x - 1
y = -1
x=3
x = -1

Answers

Answer:

x=3

please mark as brainliest

You would like to buy new carpet for a room. The room us rectangular. The dimensions are 12 1/3 feet by 10 3/4 feet. How many square feet of carpet do you need?

Answers

It’s about 132.58 square feet also you should ask if your are rounding up or not if so it should be 132.60

A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost?

Answers

Answer:

Shirt: $7.5

Sweater: $17.5

Step-by-step explanation:

25/2=12.5

Shirt is 5 less than Sweater

12.5-5=7.5

Add 5 to sweater cost

12.5+5=17.5

Shirt=7.5 Sweater=17.5

17.5+7.5=25

What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?​

Answers

Answer: 21 +4c

Step-by-step explanation:

Answer:

what is in between 36 and 2c?

Please help I’ll mark you as brainliest if correct

Answers

Answer:

Yes the answer is 69.08

The work of Islamic mathematicians, philosophers, and scientists played an essential
role in the start of

Answers

Answer:

The beginning of the philosophy of history

Step-by-step explanation:

A racetrack is in the shape of an ellipse, 180 ft long and 90 ft wide. What is the width 30 ft from a vertex?

Answers

Answer:

x

Step-by-step explanation:

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose oil is drained at a
rate of 1.5 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for, and round your answer to the nearest minute. Do not round any intermediate computations.

Answers

Answer:

[tex]8\:\mathrm{minutes}[/tex]

Step-by-step explanation:

The volume of a cylinder is given as:

[tex]r^2\cdot\pi\cdot h[/tex]

Since the diameter is [tex]2.2[/tex], the radius is [tex]\frac{2.2}{2}=1.1[/tex].

Therefore, the volume of this cylinder is:

[tex]1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}[/tex], using [tex]\pi=3.14[/tex] as requested in the problem.

Since the tank is emptied at a constant rate of [tex]1.5\:\mathrm{ft^3\:per\:minute}[/tex], it will take

[tex]\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}[/tex] to empty the tank.

Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *

Answers

20% $40/$8 = 5. 8, 16, 24, 32, 40. 5 numbers, 20% each

Evaluate the following logarithm 3/4log16

Answers

Log(8) or 0.9038
Hope this helps
i got the same as the person above!!

what is m∠1 if m∠7 = 60°?

Answers

Step-by-step explanation:

95vxgr Tu fjvgzgvkvgshvysrvv

m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p

Answers

Answer:

- 104

Step-by-step explanation:

Assuming the question is to evaluate the expression.

Given

- 3m² + 4n - p ← substitute given values for m, n and p

= - 3(- 6)² + 4(2) - 4

= - 3(36) + 8 - 4

= - 108 + 4

= - 104

In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.

We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."

Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.

please help 100points!!!!
And I will make brainiest
only if there is a good explanation.

Answers

Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.

Step-by-step explanation:

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