Each diagram shows a cube intersected by a plane. In which case is the cross section a square?

Answers

Answer 1

Answer:

In the case 4 is the cross section a square.

Here, we have,

To determine which case represents a cross section of a cube that is a square, we need to look for a cross section where all sides are of equal length and all angles are right angles, which are the defining characteristics of a square.

we know that,

When a plane intersects a cube, the resulting cross section can have various shapes, such as rectangles, triangles, or irregular polygons.

To determine if the cross section is a square, the conditions are:

All sides of the cross section are of equal length.

All angles of the cross section are right angles (90 degrees).

If we can visually inspect the diagrams, carefully examine the sides and angles of the cross sections shown in each case.

in case 4, there is the presence of equal sides and right angles.

we can find in case 4 where all sides are equal and all angles are right angles, then that case 4 represents a square cross section of the cube.

learn more on cross-section:

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Answer 2

Answer:

Answer: Intersection 4

Step-by-step explanation: If you are talking about this question, then the answer is intersection 4.

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Find the solution to the system of 5x+2y=-24 x-y=5

Answers

So to do this, we have to get rid of one of the variables by adding or subtracting the two equations together.
I will get rid of y. So, we can multiply the second equation by 2. This gives us
2x-2y=10
Now, we can add both equations
This gives us 7x=-14
Therefore, x = -2
Plug that into another equation.
-10 + 2y=-24
Therefore, y = -7

Hope this helped!! :D

5x + 2y = -24 ⇒ 5x + 2y = -24
1x - 1y = 5 ⇒ 2x - 2y = 10
      7x = -14
   7    7
   x = -2
      x - y = 5
      -2 - y = 5
      + 2    + 2
   -y = 7
   -1   -1
   y = -7
   (x, y) = (-2, -7)

Nancy purchased some bed sheets for $36 they were on sale 25% off what was the original price of the bed sheets

Answers

50% of 36 is 18
25% of 36 is 9
9 + 36 is 45
final answer is $45

What is the distance between -√100 and √81

Answers

one is negative and the other isn't

Please answer this question

Answers

Answer:

D. 1,300

Step-by-step explanation:

Jen bought some sesame bagels and some plain bagels. The ratio of the numbers of sesame bagels to the number of plain bagels is 1:3 .A. What is the fraction of the bagels that are plain.
B.What percent of the bagels are plain.
C.If Jill bought 2 dozen bagels,how many of each type of bagel did she buy.

Answers

A. What is the fraction of the bagels that are plain?

Sesame bagels: plain bagels = 1 : 3
This means that 1/3 of the bagels are sesame.
Therefore, you know that 2/3 of the bagels are plain, as Jen bought only these two types of bagels.

B. What percent of the bagels are plain?

From Part A, we know that 2/3 of the bagels are plain. To find the decimal approximation, we just divide the numerator by the denominator.

2/3 ≈ 0.67

0.67 as a percentage is 67%.

Therefore, 67% of the bagels are plain.

C. If Jen bought two dozen bagels, how many of each type of bagel did she buy?

We know that a dozen bagels is 12 bagels.
Because Jen bought two dozen bagels, she has 24 total bagels.

We know that the ratio of sesame to plain bagels is 1:3.
We set up an equation to model this ratio, letting x represent the number of unknown bagels.

1x + 3x = 24

When we combine like terms, we get the equation:
4x=24

When we divide both sides by 4, we get our answer:

x=6

Now we substitute our known variable back into the equation for x.

1(6) = sesame
3(6) = plain
Together, these amounts equal 24 bagels.
After multiplying, we find out that Jen bought a total of 6 sesame bagels and 18 plain bagels.

Factor x2 − 8x + 9.Answer options:

A. (x-9)(x-1)
B. (x+9)(x+1)
C. Prime
D. (x+9)(x-1)

Answers

x^2 − 8x + 9

What two numbers when multiplied yield 9 but when added yield -8?

There are no such numbers.

Use the quadratic formula.

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