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Soloha48 [4]
4 years ago
8

The value of y varies jointly with the values of x and z. When x = 4 and z = 16, the value of y is 320. When x = 8 and z = 10, t

he value of y is?
Mathematics
1 answer:
Viktor [21]4 years ago
8 0

When x is doubled, y is doubled. When z is multiplied by 5/8, so is y. The result of both changes is that y is multplied by 2·(5/8) = 5/4. The new value of y is

... y = 5/4·320 = 400

_____

If you really want to, you can use the formula

... y = kxz

and compute the value of k as

... k = y/(xz) = 320/(4·16) = 5

Then use this formula with the new values of x and z:

... y = 5·8·10 = 400

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What is the area of this figure
Leviafan [203]
 First, you must observe the figure and realize that you have a parallelogram and a rectangle.
 Therefore, the total area will be the sum of the area of the parallelogram plus the area of the rectangle.
 Palelogram area:
  A1 = b * h
  We have then
  b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
  h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
  A1 = (6) * (1) = 6 units ^ 2
  Rectangle area
  A2 = L * W
  We have then:
   L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
   W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
   A2 = (3.16227766) * (6.32455532)
   A2 = 20 units ^ 2
   The total area is the sum of both ares:
   A = A1 + A2
   A = 6 + 20
   A = 26 units ^ 2
   Answer:
   the area of this figure
   A = 26 units ^ 2


3 0
4 years ago
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Rus_ich [418]

Answer:

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Step-by-step explanation:

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