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skelet666 [1.2K]
3 years ago
15

Write the equation of the line that has a slope of -3/2 and passes through (4, -3)

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + b

-3 = -3/2(4) + b

-3 = -6 + b

3 = b

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Fifteen times the square of a non-zero number is equal to 20 times number.What is the number? Its not 4/3
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The number is (2√3) / 3

To find the missing number, convert what it says in words to an equation:
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4 0
3 years ago
The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They
IgorC [24]

Answer:

  • 15 m

Step-by-step explanation:

<em>Refer to attached picture</em>

  • The height  = h
  • Angles of elevation 22.6° and 38.3°
  • Closer distance  = d

<u>Use tangent to solve</u>

  • tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
  • tan 38.3° = h/d          ⇒ h = d tan 38.3°           ⇒ h = 0.79d

<u>Compare the equations above and find the value of d:</u>

  • 0.42(d + 17) = 0.79d
  • 0.42d + 7.14 = 0.79d
  • 0.79d - 0.42d = 7.14
  • 0.37 d = 7.14
  • d = 7.14/0.37
  • d = 19.3 m

<u>Now find the value of h:</u>

  • h = 0.79d
  • h = 0.79*19.3
  • h = 15

Wave Rock is 15 m tall

3 0
2 years ago
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