How many planes pass through three or more vertices of a regular octahedron?

Answers

Answer 1

Answer:

The total number of planes = 23 planes

Step-by-step explanation:

The number of planes are give as follows;

The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20

The number of distinct planes that has 4 points in the octahedron = 3

Therefore, the total number of planes are 20 + 3 = 23 planes.


Related Questions

what is the inverse of the function f(x) = 2x+ 1?

A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answers

[tex]f(x) = 2x + 1[/tex]

[tex]y = 2x + 1[/tex]

Subtract sides -1

[tex]y - 1 = 2x + 1 - 1[/tex]

[tex]y - 1 = 2x[/tex]

[tex]2x = y - 1[/tex]

Divided sides 2

[tex] \frac{2}{2}x = \frac{y - 1}{2} \\ [/tex]

[tex]x = \frac{1}{2}y - \frac{1}{2} \\ [/tex]

Thus ;

[tex] {f}^{ - 1} = h(x) = \frac{1}{2}x - \frac{1}{2} \\ [/tex]

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So the correct answer is (( A )) .

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2.7.4 practice on Apex in GEOMETRY
REALLY CONFUSED!

Answers

The 2.7.4 practice on Apex in geometry focuses on the Pythagorean theorem and its applications. Students are assessed on their ability to apply the theorem to solve problems involving distances, heights, and lengths in right triangles.

The concept of 2.7.4 practice on Apex in geometry is a crucial topic that students must understand to excel in the subject. Geometry is the study of shapes, sizes, positions, and angles of objects and figures in space. The 2.7.4 practice on Apex in geometry mainly focuses on the Pythagorean theorem and its applications.

The Pythagorean theorem is a mathematical formula that is used to calculate the length of a right triangle's hypotenuse. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem is one of the most fundamental concepts in geometry, and it is essential to understand how to apply it in problem-solving. The 2.7.4 practice on Apex in geometry provides students with an opportunity to test their understanding of the Pythagorean theorem.

Students are expected to apply this theorem to solve problems related to distance, height, and length. The practice tests are designed to assess students' ability to use the Pythagorean theorem to calculate the length of the hypotenuse in a right triangle.

For more questions on Pythagorean theorem

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PLEASE HELP it’s literally easy

Answers

Answer:

it would be 4 right (the last one)

Step-by-step explanation:

Dominic bought a new video game that was on sale for 35% off. If the original price is 29.95, what will the amount be that Dominic pays?

Answers

Answer:

19.47

Step-by-step explanation:

solve the equation. check your solution 6(5-2v)=-4(3v+1)​

Answers

30-12v=-12v-4
34-12v=-12v
34=0
no solution

what is the positive square root of 9/16​

Answers

Answer:      |√9/16|     =  ¾ or .75

PLz mark brainliest:)

I think the answer is .75:)

What is the greatest four-digit multiple of 18?


Please help me

Answers

Answer:

9990.

Step-by-step explanation:

the cylindrical bucket contains 314 cubic inches of water. the height of the water is 4 inches. what is the radius of the bucket, to the nearest whole number? use 3.14 for pi

Answers

Answer: 5 (apex) , ur welcome .

Step-by-step explanation:

Who was Genghis Khan and how did he and
his Mongol armies impact Japan?

Answers

Answer:

Genghis Khan, the leader of the Mongolian army, began his campaign to take over the known world in 1206 CE. Within 50 years, Genghis Khan and his ferocious mounted warriors had extended their Mongolian empire throughout China and Korea in the east and as far as Poland and Russia in the west. After awhile, lost power as many warlords fell into bankruptcy.

Help me plz!!!!!!!!!!!!!!!

Answers

Answer:

  $2.40

Step-by-step explanation:

sales tax = 30 * .08 = $2.40

How to solve for x??

Answers

Answer:

17

Step-by-step explanation:

The sum of a polygon's angles is 180° (n − 2), where n is the number of sides.  A hexagon has 6 sides, so the sum of the angles is:

180° (6 − 2) = 720°

Therefore:

720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110

720 = 26x + 278

26x = 442

x = 17

are two parallelograms with the same side lengths
always congruent?

Answers

Answer:

Step-by-step explanation:

most of the time yes

How many yards are there in 2.00 feet? (3 ft = 1 yd)

Answers

Answer: .667 yard

Step-by-step explanation:

Hope this helps

Answer:

0.66666666667 Yards

Step-by-step explanation:

google is always right

how many y- values are there for each x-value in the function represented by the graph?

A.0
B.1
C.2
D. infinitely many

Answers

Answer:

D

Step-by-step explanation:

There are only 1, y- value are there for each x-value in the function represented by the graph.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function represented by the graph.

Here, The graph shows the line which has only one y - value for the each x-value in the function.

That is,

For x = 0,

Value of y = - 4

Hence, There are only 1, y- value are there for each x-value in the function represented by the graph.

Learn more about the function visit:

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Is each pair of equations equivalent? explain.
4y+2x=-7
2y-6x=8

Answers

No, because 4y+2x=-7 in slope intercept form is y=-1/2x-7/4 and 2y-6x=8 is y=3x+4
Hope this helps if so pls mark brainliest

5m (2n - 7) in equivalent form re write this question i only have 2 minutes plz help

Answers

Answer:

10mn-35m is the answer

(16,3) ,(16,-80) is it zero slope undefind slope negative slope or positive slop

Answers

It positive because it shows more

What is the slope of 1.5x+4.5y=18 ,and how do you know?​

Answers

Answer:

m=-1/3

Step-by-step explanation:

The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!

Answer:  the slope is -0.33...   The does means that 3 is repeating.

Step-by-step explanation:

First we will convert the equation into slope intercept form, which is the same way of solving for y in the equation.

1.5x + 4.5y = 18     Solve for y by first subtracting 1.5x from both sides

-1.5x               -1.5x

4.5y  = 18 - 1.5x     Now divide both sides by 4.5

y= 4- 0.33x

y= -0.33x + 4    Now the slope is the coefficient of the variable x which is the number that comes after the variable.

In this case, the slope is -0.33...

Evaluate 1/3 x 5/6.

A. 1/15
B. 6/15
C. 5/18
D. 3/30

Answers

Answer:

C

Step-by-step explanation:

1x5=5

3x6=18

and you can't simplify 5/18.

Answer:

5/18

Step-by-step explanation:

1 times 5 equals 5.  3 times 6 equals 18.

What’s is 93875748282858828819482 - 3826283 have fun

Answers

Answer:

9.3875748e+22

Step-by-step explanation:

ASAP PLEASE What is the slope of the blue and green line ( both parallel)

Answers

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 4) and (x₂, y₂ ) = (- 1, - 10) ← 2 points on the green line

m = [tex]\frac{-10-4}{-1+8}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2

Repeat with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 6) ← 2 points on the blue line

m = [tex]\frac{-6-0}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

Since the slopes are equal then the lines are parallel

hey yall i need help again im just lazy but will mark brainlyest

Answers

Answer:

1) 1

2) 1

3) 5/6

4) 3/10

5) 5/6

6) 2/7

7) 3/8

8) 5/14

Simplify

3 /6 − 1/ 7 =

3 /6 − 1 /7 =

3 /6 + −1 /7 =

1 /2 + −1 /7 =

7 /14 + −2 /14 =

7+−2 /14 =

5 /14

(Decimal: 0.357143)

9) 2/9

10) 2/21

Step-by-step explanation:

Evaluate 5 + (-4) + (-7) +2

Answers

Answer:

5+(-4)+(-7)+2

5-4-7+2

5-11+2

5+2-11

7-11

-4

answer : -4
..................

Jessica has 7/8 of a pound of candy.She are 1/4 of it at the movies. How much does she have left over
A. 5/8
B. 4/8
C. 3/4
D. 1/2​

Answers

Answer: A. 5/8

1/4 x 2 will equal 2/8. 7/8 - 2/8 = 5/8

Answer:

A. 5/8

Jessica has 5/8 pounds of candy left

✨Step-by-step explanation:✨

7/8 (how many pounds she used to have) - 1/4 (how much she ate at the movies) = ?

✨To make this easier let us turn 1/4 into 2/8 (both fractions are equivalent):✨

7/8 (How many pounds she used to have) - 2/8 ([Also 1/4] how much she ate at the movies) = 5/8 (how much she has left)

HURRY!!! NEED IT FAST ! WILL MARK BRAINLIEST!!!

Answers

Answer:

-6.666

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

Let's plug in all of the numbers: [tex]\frac{-(-2^2)(4(-3)-5(-2))}{3(4)-4(-2)}[/tex]

We get [tex]\frac{-(-4)(-12+10)}{12+8}[/tex]

Simplify further to get [tex]\frac{4(-2)}{20}[/tex]

Or [tex]\frac{-8}{20}[/tex]

Which can be simplified to -[tex]\frac{2}{5}[/tex]

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

0 is 14, 1 is 12.25, 2 is 10.50, and 3 is 8.75

10 : 35 fraction in simplest from

Answers

- 2/7

What is 10/35 Simplified? - 2/7 is the simplified fraction for 10/35.

-BBBM

HELP QUICK
Find the y-intercept of the graph of the equation given. Write your answer as an ordered pair.


-5x+2y=10

Answers

The y-intercept is 5
B/c when you solve the equation for y you get
y=5/2x+5
So replace

Sue has 18 sweets
Tony also has 18 sweets

sue gives Tony x sweets

Answers

Answer:

18 sweets?

Step-by-step explanation:

Not much info to help me answer it

2x + 7 = - 4x + 11
what’s the answer?

Answers

Answer:x=2/3

Step-by-step explanation:

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