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masya89 [10]
3 years ago
13

Y=2x+8 and y= -2/3x. Identify the value of x that simultaneously satisfies both equations.

Mathematics
1 answer:
son4ous [18]3 years ago
5 0
Let's solve this by subst. (-2/3)x for y in y=2x+8.

Then 2x+8 = (-2/3)x.  (For clarity you must use those parentheses.)

The LCD is 3.  Mult. both sides by 3, obtaining

6x+24 = -2x.  Then 8x = -24, and x = -3.  Now that you have a value for x, subst. this value (-3) into either of the given equations to determine y.

Then write your solution in the form (-3,  ??  ).
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In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
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Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

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