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Rus_ich [418]
3 years ago
6

1. SPOTLIGHTS Ship A has coordinates (–1, –2) and Ship B has coordinates (–4, 1). Both ships have their spotlights fixated on th

e same lifeboat. The light beam from Ship A travels along the line y = 2x. The light beam from Ship B travels along the line y = x + 5. What are the coordinates of the lifeboat?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

( 5 , 10 )

Step-by-step explanation:

Solution:-

- There are two ships, A and B, currently located by their respective coordinates in the cartesian coordinate system:

          <u>Position of ship A: ( - 1 , -2 )</u>

          <u>Position of ship B: ( -4 , 1 )</u>

- Both ships try to locate a lifeboat. The spotlights used by each ship are modelled as straight line functions of cartesian coordinate originating from their respective ships.

- Spot lights for each ship were able to locate the same lifeboat. The respective spotlights are modelled by the following functions:

         <u>Spotlight Ship A: y = 2x</u>

         <u>Spotlight Ship B: y = x + 5 </u>

- To locate the position of the lifeboat with respect to the origin ( 0 , 0 ) we will use the spotlight model functions and equate them. This is because the spotlights must converge or meet at the position of lifeboat provided the lifeboat is found by both ships.

- Therefore,

       

         Spotlight A = Spotlight B

         y = 2x = x + 5

         2x = x + 5

         x = 5 , y = 10

<u>Answer:</u> <em>The two spotlight meet at the coordinates ( 5 , 10 ). This is also the position of the lifeboat located by both the ships</em><em>. </em>

       

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Answer:

Both Are Correct!

Step-by-step explanation:

As you can see, both of these answers are correct. The first answer is just a decimal (which is correct). The second choice has a decimal(62.5%). (Which is also correct)

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3 0
2 years ago
The graph of f(x)=x2 is shown.
noname [10]

Answer:

x       y

1       16

2      7

3      0

0      27

-1     40

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6 0
3 years ago
5(2x - 3) + 2 (3x + 1)
astraxan [27]
     <span> 1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2
2x/3 - 1 + 1 = 3x/4 + 5/4 - 2
2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2
2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4
8x/12 - 9x/12 = 5/4 - 8/4
(8x - 9x)/12 = (5 - 8)/4
-x/12 = -3/4
-x/12 * 12 = -3/4 * 12
-x = -36/4
-x * -1 = -36/4 * -1
x = 36/4
x = 9
Done

For check the answer
let x = 9
1/3(2[9] - 3) + 1 = 1/4(3[9] + 5) - 2
1/3(18 - 3) + 1 = 1/4(27 + 5) - 2
1/3(15) + 1 = 1/4(32) - 2
15/3 + 1 = 32/4 - 2
15/3 + 3/3 = 32/4 - 8/4
18/3 = 24/4
6 = 6
therefor
x = 9 is a correct answer</span>
6 0
3 years ago
What is the value of 0.1322 rounded to the nearest hundredth place?
kifflom [539]

Answer:

Step-by-step explanation:

0.1322 ≅ 0.13

3 0
3 years ago
Read 2 more answers
Please help I will mark brainlyest​
IgorLugansk [536]

Answer:

C.  x^5/2 + 6x^3/2 + 1.

Step-by-step explanation:

(x^3 + 6x^2 + x^1/2) / x^1/2

= x^(3 - 1/2) + 6 x(2-1/2) + 1

= x^5/2 + 6x^3/2 + 1.

3 0
3 years ago
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