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VladimirAG [237]
1 year ago
13

Express x in terms of a, b, and c. X =

Mathematics
1 answer:
Vaselesa [24]1 year ago
8 0

Answer:

\frac{ac}{a+b} .

Step-by-step explanation:

1)  Δ ADE  ~  Δ ABC,   then

\frac{AE}{AC} =\frac{DE}{BC}    ⇒      \frac{x}{c} =\frac{a}{a+b};

2) \ finally, \ x=\frac{ac}{a+b} .

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(08.05)
Crank
If you use the first answer, the equation becomes 2x + 2y = 16.  You could subtract this from equation Q to eliminate x.

The second answer makes equation P -2x - 2y = -16.  You could add this to equation Q to eliminate x.  You can use both of these methods to eliminate the x term, but if you can only choose one, you should choose the second option.
7 0
3 years ago
Read 2 more answers
The top and bottom margins of a poster 66 cm each, and the side margins are 44 cm each. If the area of the printed material on t
jasenka [17]

Answer:

  • width: 24 cm
  • height: 36 cm

Step-by-step explanation:

When margins are involved, the smallest area will be the one that has its dimensions in the same proportion as the margins. If x is the "multiplier", the dimensions of the printed area are ...

  (4x)(6x) = 384 cm^2

  x^2 = 16 cm^2 . . . . . divide by 24

  x = 4 cm

The printed area is 4x by 6x, so is 16 cm by 24 cm. With the margins added, the smallest poster will be ...

  24 cm by 36 cm

_____

<em>Comment on margins</em>

It should be obvious that if both side margins are 4 cm, then the width of the poster is 8 cm more than the printed width. Similarly, the 6 cm top and bottom margins make the height of the poster 12 cm more than the height of the printed area.

_____

<em>Alternate solution</em>

Let w represent the width of the printed area. Then the printed height is 384/w, and the total poster area is ...

  A = (w+8)(384/w +12) = 384 +12w +3072/w +96

Differentiating with respect to w gives ...

  A' = 12 -3072/w^2

Setting this to zero and solving for w gives ...

  w = √(3072/12) = 16 . . . . matches above solution.

__

<em>Generic solution</em>

If we let s and t represent the side and top margins, and we use "a" for the printed area, then the above equation becomes the symbolic equation ...

  A = (w +s)(a/w +t)

  A' = t - sa/w^2

For A' = 0, ...

  w = √(sa/t)

and the height is ...

  a/w = a/√(sa/t) = √(ta/s)

Then the ratio of width to height is ...

  w/(a/w) = w^2/a = (sa/t)/a

  width/height = s/t . . . . . . the premise we started with, above

6 0
3 years ago
Graph two lines whose solution is (3,5).
Pavel [41]

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

8 0
2 years ago
Emily makes cylindrical bars of soap to sell online. Each bar has a radius of 3.5 cm and a length of 4 cm. Each bar is wrapped i
Mariulka [41]

Answer:

C) 1050π cm²

Step-by-step explanation:

Surface area of a cylinder = 2πrh + 2πr²

radius, r = 3.5cm

Height, h = 4 cm

Surface area of a cylinder = 2πrh + 2πr²

= 2 * π * 3.5 * 4 + 2 * π * 3.5²

= 28π + 2π * 12.25

= 28π + 24.5π

= 52.5π cm²

Surface area of a cylinder = 52.5π cm

There are 20 bars of soap

Total plastic Emily needs for 20 bars of soap = surface area of each soap × 20

= 52.5π cm² × 20

= 1,050π cm²

6 0
2 years ago
Helpppppppppp please....
alukav5142 [94]
The answer is 8! 48 divided by 8 =6
5 0
2 years ago
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