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kaheart [24]
3 years ago
9

In which question is r = -17 a solution?

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

None

Step-by-step explanation:

Simply solve each linear equation and get value of R.

Or another way can be to put value of R in all four options and find whether left hand side is equal to right hand side or not.

A) 3-\frac{2R}{4}=10

   -\frac{R}{2}=7

   R = -14

B)  \frac{3}{4}-2R =10

     -2R=10-\frac{3}{4}

    R = -37/8

C)  3(R-4)=10

     R-4=\frac{10}{3}

    R=4+\frac{10}{3}

  R = 22/3

D) 3-\frac{R}{4}=10

    R = -28

So, none of the option's are having solution R =-17.

   

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A ship is moving at a speed of 30 km/h parallel to a straightshoreline. The ship is 6 km from the shore and it passes alighthous
natita [175]

Answer:

A)  S = f(d) = √(36 + d²)

B)  d = g(t) = 30t

C)  f o g = √(36 + 900t²)

Explanation:  

A) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon;that is, find f so that s = f(d)

Refer to the attached image and observe that ship starts moving from point I towards point N which represents the position of ship at noon.

From point I to point N ship covers the distance d.

From point I to point L (lighthouse) the distance is S.

A triangle is formed and we want the distance S so we will apply the Pythagorean theorem

IL² = NL² + IN²

S² = 6² + d²

S = √(36 + d²)

Therefore, the function is S = f(d) = √(36 + d²)

B) Express d as a function of t, the time elapsed since noon;that is, find g, so that d = g(t)

Since the ship is moving at a speed of 30 km/h and let t represents the time taken to move from I to N then

d = 30t

or

d = g(t) = 30t

C) Find f o g. What does this function represent?

Since we have already found f(d) and g(t) we can find f o g.

f(d) = √(36 + d²) and d = g(t) = 30t

substitute d = g(t) = 30t into f(d)

f o g = √(36 + (g(t))²)

f o g = √(36 + (30t)²)

f o g = √(36 + 900t²)

This function simply represents the distance from point I to point N to point L which is the longer distance from the initial position of ship to the lighthouse.

7 0
4 years ago
How do you solve this problem?
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Answer:

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Step-by-step explanation:

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