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:
Option d.$18 to $30
Step-by-step explanation:
we know that
The quartet earn between $25 and $40 per hour.
so
If they play for 3 hours
then
($25*3)=$75
($40*3)=$120
the quartet will earn between $75 and $120
Divide the money equally between the four members
$75/4=$18.75
$120/4=$30
therefore
Each member can make between $18.75 and $30
The first reaction represented is a decomposition reaction due to the fact the bonded pair are being split apart.
The second equation is a single displacement because the B and C have switched places, which is the only change making it a single displacement. If there had been another bond and A had also moved, it would be double.
Answer:
A. The area of the park is 251015.62 m squared.
B. The sod would cost $313769.52
C. The perimeter of the border is 1927.5 m
D. The cost fo the paving stone is going to be $5300.625
E. The total cost for the sod and pacing stone combined is $31139070.14
HOPE THIS HELPS I WOULD APPRECIATE BRAINLIEST IF POSSIBLE :)
Answer: The coordinate are
( 5 , 2.5 )
Distance = 5
Step-by-step explanation:
The coordinates of the rest stop will be the mid point between the high school is at point (3, 4) and the stadium in Columbus at point (7, 1).
Mid point = (X1 +X2)/2 , (Y1+Y2)/2
(3+7)/2 , (4+1)/2 = ( 5 , 2.5 )
The approximate distance between the high school and the stadium will be
D^2 = (7-3)^2 +( 4-1)^2
Where D = distance
D^2 = 4^2 + 3^2
D = 5
