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givi [52]
3 years ago
12

Can someone help me with this question please .

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
The to answer is correct
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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
malfutka [58]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
7 0
3 years ago
Can someone help me
mafiozo [28]
If you need to you can write it out. the answer is X=14

5 0
3 years ago
Sebastian and his two brothers read and equal amount each week very for a combined total of 135 minutes each week, very the same
ipn [44]

Answer:

270 minutes per boy.

Step-by-step explanation:

45 mins each week

multiplies by 6

3 0
3 years ago
The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010
Arturiano [62]

Answer:

b) When will the number of deer be 600?

Step-by-step explanation:

8 0
3 years ago
naomi needs 2 cups of chopped apples for a fruit salad she is making .she only has a 1/4 cup. how many times will naomi need to
Lilit [14]
1/4 × 8 times = 2 cups
ANSWER : 8 times
5 0
3 years ago
Read 2 more answers
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