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Serhud [2]
2 years ago
9

Please help asap plz!!

Mathematics
2 answers:
Anuta_ua [19.1K]2 years ago
7 0

Answer:

2x + 4 = 22

or \: 2x = 22 - 4

or \: 2x = 18

or \: x =  \frac{18}{2}

therefor \: x = 9

motikmotik2 years ago
4 0

Answer:

x = 9

Step-by-step explanation:

Since M is the midpoint of AC then

AM = MC , that is

2x + 4 = 22 ( subtract 4 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

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If 9 + 10 = 21 <br><br> What’s 10 + 9?
Gala2k [10]
Answer: is still 21
8 0
2 years ago
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If the clock is held at a constant 0.0ºc over a period of 24 hours, how much longer or shorter does the clock measure compared t
NARA [144]

<span>If the clock is held at a constant 0.0ºc over a period of 24 hours, the clock will be exactly the same as the perfect clock because  it is at a constant 0.0</span> <span>ºc for 24. Meaning there is no deviation on its reading</span>

3 0
3 years ago
[10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimens
MissTica

Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

_____

Let x and h represent the base edge length and box height, respectively. Then we have ...

  x² +4xh = 108 . . . . box surface area

Solving for height, we get ...

  h = (108 -x²)/(4x) = 27/x -x/4

The volume is the product of base area and height, so is ...

  V = x²h = x²(27/x -x/4) = 27x -x³/4

We want to maximize the volume, so we want to set its derivative to zero.

  dV/dx = 0 = 27 -(3/4)x²

  x² = (4/3)(27) = 36

  x = 6

  h = 108/x² = 3

The box is 6 inches square and 3 inches high.

_____

<em>Comment on maximum volume, minimum area</em>

In the general case of<em> an open-top box</em>, the volume is maximized when the cost of the bottom and the cost of each pair of opposite sides is the same. Here, the "cost" is simply the area, so the area of the bottom is 1/3 the total area, 36 in².

If the box has a <em>closed top</em>, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

7 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
iren2701 [21]

Answer:

Here's what I get  

Step-by-step explanation:

a. Write an equation

(8x + 12y)² + (6x + 9y)²= (10x + 15y)²

b. Transform the equation

(i) Remove parentheses

64x² +192xy + 144y² + 36x² + 108xy + 81 y² = 100x² +300xy + 225y²

(ii) Combine like terms.

100 x² + 300xy + 225y² = 100x² +300xy + 225y²

The two sides are the same.

The equation is an identity.

3 0
3 years ago
I need help with this!!!
timofeeve [1]

just use A=BxH

Base times height that should give you the correct answer

6 0
3 years ago
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