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 :)
Answer:
In order by appearance
1. rational
2. irrational
3. rational
4. rational
5. irritatinal
6. rational
7. irritational
Step-by-step explanation:
1) 99/264
2) 8√5
3) 7.12
4) 6
5) pi is not a rational number
6) fractions are rational
7) 1/2·(√6-1)
Rational numbers are numbers that can be shown as a ratio or a fraction and irrational numbers are the opposite of that
<span>y-2>1/2(x-2) can be expanded as follows: y - 2 > (1/2)x - 1
Mult. all terms by 2 to remove the fractions:
2y - 4 > x - 2
Add 4 to both sides: 2y > x + 2
Div. both sides by 2: y > (1/2)x + 1 (answer)</span>
That equation has one solution
Answer:
$16
Step-by-step explanation:
she has $14 now
her parents let her earn 6
so $14 - $6 = $8
so thats what was left over from her allowance. she spent half of her allowance to get to $8 so you double the money
$8 * 2 = $16
$16 is her weekly allowance
