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Len [333]
3 years ago
6

the description of a TV is based on the diagonal length. if the height of a TV is 10 inches and the width is 7 inches, what is t

he approximate diagonal length in inches?
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
To calculate it use pythagoras: a^2+b^2=c^2
7^2+10^2=49+100=149

calculate the square root: \sqrt{149}=12.2
so the diagonal is about 12.2 inches long

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Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).
earnstyle [38]

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)  where (x1,y1) and (x2,y2) are two points on the line

    = (1-3)/(4-2)

   =-2/2

   =-1

The point slope form is

y-y1 = m(x-x1)  wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)

5 0
3 years ago
Consider a sequence defined by the recursive rule f(1) = 15; f(n)=f(n - 1) - 6 for n 2. Choose True or
Shkiper50 [21]

Answer:

The second term of the sequence is 8  False ⇒ B

The third term of the sequence is 3  True ⇒ A

The fourth term of the sequence is -3  True ⇒ A

Step-by-step explanation:

The form of the recursive rule is:

f(1) = first term; f(n) = f(n - 1) + d, where

  • f(1) is the first term
  • f(n) is the nth term
  • f(n - 1) is the term before the nth term
  • d is the common difference

∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2

∴ The first term = 15

∴ d = -6

let us find the 2nd, 3rd, and 4th terms

∵ n = 2

∴ f(2) = f(1) - 6

∵ f(1) = 15

∴ f(2) = 15 - 6 = 9

∴ The second term is 9

∴ The second term of the sequence is 8  False

∵ n = 3

∴ f(3) = f(2) - 6

∵ f(2) = 9

∴ f(3) = 9 - 6 = 3

∴ The third term is 3

∴ The third term of the sequence is 3 True

∵ n = 4

∴ f(4) = f(3) - 6

∵ f(3) = 3

∴ f(4) = 3 - 6 = -3

∴ The fourth term is -3

∴ The fourth term of the sequence is -3 True

5 0
3 years ago
The equation y = 0.25x + 50 gives the cost y of renting a car if the car is driven x miles
iogann1982 [59]
C. $112.50

y=0.25x+50

x = 250 miles

0.25*250=62.50

62.50+50= $112.50
3 0
3 years ago
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Answer

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Step-by-step explanation:

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