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We need to find the equation which is equidistant to the given points.

[tex]A(-2,6,3)[/tex] and [tex]B(5,3,-3)[/tex]

This can be done using the distance formula.

Let us take a point [tex]P(x,y,z)[/tex] which is equidistant from both points so

[tex]\sqrt{(x+2)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-5)^2+(y-3)^2+(z+3)^2}\\\Rightarrow y^2-12y+x^2+4x+z^2+49-6z=y^2-6y+x^2+z^2+6z+43-10x\\\Rightarrow 7x-3y-2z+1=0[/tex]

The required equation is [tex]7x-3y-2z+1=0[/tex]

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Answer:

You will need 5,253 tiles.

Step-by-step explanation:

17 kitchen floors x 309 tiles for each floor = 5,253 tiles total

Answer:

The answer is 5253

Step-by-step explanation:

We will use the unitary method

Make two columns one for kitchen floors and one for tiles

In the first row you will put 1 kitchen floor and 309 tiles

In the second row you will put 17 kitchen floors and x tiles

Then crossmultiply and 17x309 is equal to 5253

Answer:

No.

Step-by-step explanation:

No because it can be written as a fraction, 6606/10

Answer:

None?

Step-by-step explanation:

Jarrell should purchase 7 lbs of ground beef.

Number of attendees = 20

Fraction of burger per person = 1/3 lbs

Total fraction of burger required to feed 20 persons :

Number of attendees × fraction per person

20 × 1/3 = 6.667

The number of whole grouhd beef that should be purchased is 7 lbs

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Answer:

m is 7

Step-by-step explanation:

[tex]{ \sf{ - 6(1 + 8m) = - 342}}[/tex]

divide all sides by (-6) :

[tex]{ \sf{ \frac{ - 6(1 + 8m)}{ - 6} = \frac{ - 342}{ - 6} }} \\ \\ { \sf{1 + 8m = 57}}[/tex]

make m the subject:

[tex]{ \sf{8m = 56}} \\ { \sf{m = 7}}[/tex]

This is the same as showing the following system of equations doesn't have a solution:

[tex]\begin{cases}-2c_1-3c_2+c_3 = 0 \\ 9c_1 + 2c_2 + 7c_3 = 5 \\ 6c_1 + c_2 + 5c_3 = 4\end{cases}[/tex]

or in matrix form,

[tex]\begin{bmatrix}-2&9&6\\-3&2&1\\1&7&5\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\5\\4\end{bmatrix}[/tex]

The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.

And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:

(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)

So there are indeed no such scalars c₁, c₂, and c₃.

Answer:

Rounding means making a number simpler but keeping its value close to what it was.

Step-by-step explanation:

Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80. ... But 76 goes up to 80.

Answer:

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Answer:

-1/3

Step-by-step explanation:

this is the best answer

Answer:

18 and 2

Step-by-step explanation:

18-2=16

18+2=20

Hi ;-)

[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]

These numbers are 18 and 2.

Answer:

Step-by-step explanation:

This is a handy thing to know how to do.

83 = 80 + 3

7*(80 + 3)

560 + 21

581

Answer:

C

Step-by-step explanation:

because when you reflect it the figure A on the y-axis, it looks the same as A*, and when you move it 5 units down both figures are at the same place, showing that the shapes are congruent.

Answer:

Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. ... The distance is the absolute value of the difference.

Answer:

35 is the answer

Step-by-step explanation:

Answer:

length × width = area

440.5 = 5 × length

length = 440.5 / 5

length = 88.1

so haway is 88.1 foot long

the length of the hallway is 88.1 feet. To find the length of the hallway, we need to use the given information about the width of the hallway and the total area of the carpet required to cover it.

Given:

Width of the hallway = 5 feet

Area of carpet required = 440.5 ft^2

Let's denote the length of the hallway as "L" (in feet).

The area of a rectangle (such as the hallway) is given by the formula:

Area = Length * Width

In this case, the area is given as 440.5 ft^2, and the width is given as 5 feet. Now we can set up the equation:

440.5 = L * 5

To find the length (L), divide both sides by 5:

L = 440.5 / 5

L = 88.1

So, the length of the hallway is 88.1 feet.

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Explanation:

x = some positive whole number

2x = amount Helen baked initially

5x = amount Rebecca baked initially

Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.

So (2x)/(5x) = 2/5

Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,

(amount Helen bakes)/(amount Rebecca bakes) = 1/2

(2x+12)/(5x) = 1/2

2(2x+12) = 5x*1 .... cross multiply

4x+24 = 5x

24 = 5x-4x

24 = x

x = 24

From here, we then can say,

Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.

Furthermore, note how

This helps confirm we have the correct answer.

9514 1404 393

Answer:

  51.3 km²

Step-by-step explanation:

The area formula is ...

  A = 1/2r²θ . . . . where θ is the central angle in radians

  A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²

Answer:

9000 m

Step-by-step explanation:

One: Note that the answer is supposed to be in meters. It's easier if we just convert the 12 kilometers to meters now so we dont' have to worry about it later. 1 kilometer is 1,000 meters, so all we need to do is add three zeros to the end to make it meters:

12km=12,000m

Two: 1/4 means to divide by 4: 12,000/4= 3,000.

Three: The question is asking how much is LEFT. So we would do 12,000-3,000, which is 9000.

Add the two fractions together but first rewrite the fractions with a common denominator.

4/15 = 8/30

3/10 = 9/30

8/30 + 9/30 = 17/30

Answer: 17/30

The fraction is 17/30.

fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

For example.

The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.

Given:

4/15 of the candies in a bag of Skittles are red

3/10 are yellow

So, make the denominator of both fraction same by LCM

4/15 = 8/30

3/10 = 9/30

Now,

8/30 + 9/30 = 17/30

Hence, the fraction is 17/30.

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Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

$91.68

Step-by-step explanation:

$3.82 × 24 = $91.68

Answer: $91.68

Step-by-step explanation:

Given information

Hourly rate = $3.82

Hours = 24

Given expression deducted from the given information

Total earning = Hours × Hourly rate

Substitute values into the expression

Total earning = (24) × (3.82)

Simplify by multiplication

Total earning = $91.68

Hope this helps!! :)

Please let me know if you have any questions

Answer:

the square of a positive number is always positive

Hi ;-)

7/9 + 6/8 + 6/3 = 7/8 + 3/4 + 2 =

= 28/32 + 24/32 + 2 = 52/32 + 2 =

= 1 20/32 + 2 = 3 20/32 = 3 5/8

Answer:

the answer is three and nineteen over thirty-six

[tex]3 \19 \36[/tex]

Answer:

Presumably the "others time" is the quantity [tex]a[/tex], which is 28.81

Step-by-step explanation:

Let's solve for [tex]a[/tex] from

[tex]38.4-a=9.59[/tex]

Adding [tex]a[/tex] gives

[tex]a+9.59=38.4[/tex]

Then subtracting 9.59 gives

[tex]a=38.4-9.59=28.81[/tex]

Answer:

- 5°F

Step-by-step explanation:

- 3°F - 2°F

(-3) - 2

-5

- 5°F

Answer:

10 is B

11 is C

12 is C. Simple set rules

Answer:

-49

Step-by-step explanation:

Substitute the a for -5

2(-5)+6(-5)-9

Multiply:

-10+-30-9

Add:

-40-9

Subtract (Add negatives):

-49

Hi there!  

»»————-　★　————-««

I believe your answer is:  

-14

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x is 5 cm

Step-by-step explanation:

From pythogras theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

a is x cm

b is 12 cm

c is 13 cm

[tex] {x}^{2} + {12}^{2} = {13}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ {x} = \sqrt{ {13}^{2} - {12}^{2} } \\ x = \sqrt{169 - 144} \\ x = \sqrt{25} \\ x = 5 \: cm[/tex]