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:
Step-by-step explanation:
The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as
Area = length × width
Area of the rectangular room would be
12 × 15 = 180 feet²
The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet
Area if each tile is
4/3 × 4/3 = 16/9 ft²
The number of tiles needed to cover the entire floor is
180/(16/9) = 180 × 9/16
= 101.25
102 tiles would be needed because the tiles must be whole numbers.
Answer:
The Total number of Professors = 48
Step-by-step explanation:
Given as,
The total number of Faculty = 136
And the Ratio of Professors to Lecturers = 6 Ratio 11
Now According to question
Professors : Lecturers = 6 : 11
So, Let the Number of Professors = 6x
And The Number of Lecturers = 11x
∴ 6x + 11x = 136
Or, 17x = 136
Or, x = 
= 8
Hence, the number of Professors = 6 × 8 = 48 Answer
GIVEN:
We are given a parallelogram WXYZ with diagonals WY and XZ.
Required;
Prove that XZ bisects WY.
Explanation;
From the diagram provided, we can draw the following conclusion;
Also, we have;
Answer:
A . 17/21
B . 14/21
C . 7/14
D. 11/17
Step-by-step explanation:
