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guapka [62]
3 years ago
14

Find the missing length.

Mathematics
1 answer:
algol [13]3 years ago
6 0

Answer:

3 \sqrt{13}

Step-by-step explanation:

{6}^{2}  +  {9}^{2}

\sqrt{117}

3 \sqrt{13}

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What is the standard form of function f?
Tomtit [17]

Answer:

A = 4; B = -1 ; C = -29

Step-by-step explanation:

y = 4(x + 6) + 5

y = 4x + 24 +5

y = 4x + 29

Standard form: Ax + By = C

 4x - y = -29  

8 0
3 years ago
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
4 years ago
McKayla checked out 11 books from the library on Tuesday. On Wednesday, she went back to the library and checked out 23 more boo
tresset_1 [31]

Answer:

i would say about 33 books in total from tuesday to wednesday

Step-by-step explanation:

5 0
3 years ago
Given the function f(x) = x2 and k = 2, which of the following represents a horizontal shift?
melamori03 [73]
A horizontal shift would be in the form <span><span>f(x±k)</span></span>
6 0
3 years ago
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lutik1710 [3]
180 I think I’m not sure
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