4 (i literally had to think about this cause i thought it was too easy )
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 :)
Hello :
<span>y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : </span><span>A) y=2x^2+12x+13 )</span>
Answer:
70%
Step-by-step explanation:
First, convert 0.3 into a percentage;
To do so, convert it 0.3 into a fraction then multiply by 100;
0.3 into a fraction = 3/10
3/10 into a percentage = 
The 10 at the bottom cancels out one zero at the top and you are left with 30.
Therefore percentage in Carlos' monthly savings is = 30%
Next, calculate the percentage NOT put in savings
percentage NOT put in savings = 100% - percentage in savings;
That is ; 100% -30% =70%
Hence, 70% of his income is not put into savings.
Answer: y=x-6
Step-by-step explanation:
2x-2y-12=0
1. Add 2y to both sides:
2x-12=2y
2. Divide both sides by 2
x-6=y
