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:
42.2% of the applications came from small businesses
Step-by-step explanation:
the percentage of applications that came from small businesses can be calculated through:
percentage from small businesses = applications from small businesses / total number of applications = 30 / (23+18+30) = 0.422 (42.2%)
Answer:
I honestly dont know
Step-by-step explanation:
Answer:
<u>y = - 6.375</u>
Step-by-step explanation:
Step 1:
4 ( y - 3y ) - 19 = 32 Equation
Step 2:
4y - 12y - 19 = 32 Multiply
Step 3:
- 8y - 19 = 32 Combine Like Terms
Step 4:
- 8y = 51 Add 19 on both sides
Step 5:
y = 51 ÷ - 8 Divide
Answer:
<u>y = - 6.375</u>
Hope This Helps :)
Answer:
C)
Step-by-step explanation:
Find the total sum
25+28= 53
53+31=84
Fimd the average by dividing by 3
84/3= 28
Hence, the answer is c
