1. SPOTLIGHTS Ship A has coordinates (–1, –2) and Ship B has coordinates (–4, 1). Both ships have their spotlights fixated on the 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?
Answers
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:
Position of ship A: ( - 1 , -2 )
Position of ship B: ( -4 , 1 )
- 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:
Spotlight Ship A: y = 2x
Spotlight Ship B: y = x + 5
- 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
Answer:The two spotlight meet at the coordinates ( 5 , 10 ). This is also the position of the lifeboat located by both the ships.
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help ASAP and please answer both questions asked
Answers
Answer:
1. 768 square yards
2. 384 square yards
Step-by-step explanation:
1. 16 x 16 = 256
256 x 3 = 768 square yards
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Answers
The state will issue 4,56,97,354 plates
What is exponents and powers?
When anumber is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent. Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.
- An exponent is the number of times a given number is being multiplied by itself.
- The expression when a number is being multiplied by itself n number of times is called the nth power of the given number.
Given:
Number of letters = 4
Number of numerals = 3
As 246 letter arrangements are not allowed.
So, we have total 26 letters.
and numbers from 0 to 9.
So, the number of plates will be
= 26*26*26*26*10*10
=(26)^4 * (10)^2
= 45697600
Now, deducted those 246 letter arrangements which are not allowed
= 45697600 - 246
= 4,56,97,354
Hence, the state will issue 4,56,97,354 plates.
Learn more about this concept here:
#SPJ2
A. 38
B. 14
C. 64
O D. 40
Answers
Answer:
74 if thats not an answer 64
Step-by-step explanation:
8+4=12
12+62
74
Answer:
74
Step-by-step explanation:
(8+x)+62
(8+4)+62
12+62
74
y = -2x + 2
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6x - 6x + 6 = 6
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C: There is no solution
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Answers
Answer:
the answer will equal d
Step-by-step explanation: