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Annette [7]
3 years ago
8

Solve 3 |2d-9| - 10 =3

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

d= 3 2/3

Step-by-step explanation:

distribute the 3

combine like terms

add -19 to both sides

divide by 6 on each side

d=3 2/3

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4th option
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Can SOMONE help ASAP I don’t understand the diameter of a circle plz show me how y’all got the awswer plz!!!! It’s the top one
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Read 2 more answers
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

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3 years ago
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Answer:

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2 years ago
Write the Rational Expression in simplest form. <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-x-6%7D%7B24-5x-x%5E2%7D" id="T
Liula [17]

Answer:

-(x+2)/(x+8)

Step-by-step explanation:

( x^2 -x-6)

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24 - 5x -x^2

Factor out a minus sign from the denominator

( x^2 -x-6)

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-( x^2 +5x -24)

Factor the numerators and the denominators

( x-3) (x+2)

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-( x+8)(x-3)

Cancel like terms

  x+2

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-(x+8)

4 0
3 years ago
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