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 :)
Step-by-step explanation:
Monthly bill - Flat rate = $38.44 - $3.99 = $34.45.
Minutes used = $34.45 / $0.05 = 689.
Answer:
The area of LQM is 
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:
Substitute 8 for Area
The area of LPQ is calculated as:
Substitute 16 for Area
From the attachment:
Make LP the subject
So:
We have:
and
Equate both expressions:
Divide both sides by PQ
Multiply both sides by 2
Since PNQ is similar to LNM, the following equivalent ratios exist:
Substitute
Area of LQM is:
This gives:
Recall that:
So:
Step-by-step explanation:
Hello there!
Solve for x:
-3x(x-8)-7x=12
-3x^2+24x-7x=12
-3x^2+17x+12=0
Can you factor it further?Feel free to ask questions in the comments.
:)
