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 :)
Using the line of the best fit, the predicted student's score in English test is 48
<h3>How to determine the student's score in English?</h3>
From the question, we have:
Mathematics score = 60
The scores in English tests are plotted on the y-axis.
On the given graph, we have:
(x,y) = (60,48)
This means that when x = 60, the value of y is 48
This in other words means that the student's score in English test is 48
Read more about line of best fit at:
brainly.com/question/17261411
#SPJ1
725 inches long.
<span>the height of the parallelogram?
</span>
Answer:
x = 11/3
Step-by-step explanation:
x - 2/3 = 3
³⁾x = ³⁾3 + 2/3
3x = 9 + 2
3x = 11
x = 11/3