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 :)
The vertex of a quadratic equation is the minimum or maximum point of the equation. Find that, and you have the vertex. <span>To </span>find the x-intercept<span> of a given linear equation, plug in 0 for 'y' and solve for '</span>x'. To find<span> the y-</span>intercept, plug 0 in for 'x<span>' and solve for 'y'.</span>
Answer:
A. The number of students who collected exactly 2 bottles.
Step-by-step explanation: I got this question on my test, and the answer was A.
100% verified! :D
Answer:
x >= -6
Step-by-step explanation:
Multiply:
(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x
Combine like terms:
(1/3)x + 1 >= (1/4)x + 1/2
Move the x's on one side and the integers on another:
(1/3)x - (1/4)x >= 1/2 - 1
(1/12)x >= -1/2
x >= -6
I hope this helped! :D
