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:
16*j+4
16+8*4
16+32
48
Step-by-step explanation:
Answer:
12:45 pm
Step-by-step explanation:
First we find out the amount of time it takes to drive 90 miles at 60 mph.
speed = distance/time
time * speed = distance
time = distance/speed
time = 90 miles / 60 mph
time = 1.5 hour = 90 minutes
It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.
To get there at 2:00 pm, he should have left at 12:30 pm.
He got there 15 minutes late, so he must have left 15 minutes late.
He left at 12:45 pm.
Answer: 12:45 pm
Answer:
i think ii first add 5x + x then you can remove the parentheses, group similar terms and add similar elements
Step-by-step explanation:
Answer:
120 into a third and divide and the answer
Step-by-step explanation:
160
