Coordinates
-18 + 19½ = 1½?
37½
Step-by-step explanation:
(18 × 2) + 1½ = 37½
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:
11 sets of forks
Step-by-step explanation:
First subtract 406-278 to find total amount of forks needed which is 128 forks.
Then divide 128 by 12 to see how many sets of forks you need.
You get 10.67 but because you can't buy two thirds of a set, you have to round up to 11 sets of forks.
Hope this helps :)
Answer:
6 batches
Step-by-step explanation:
24 people x 4 cupcakes = 96 cupcakes
96 cupcakes / 16 per batch = <u>6 batches</u>
Hope this helped, have a nice day! :)
Answer:
B. Obtuse triangle
Step-by-step explanation:
The following triangle is an obtuse triangle.
