Answer:
D (-3, 5)
Step-by-step explanation:
270 counter clockwise is the same as 90 clockwise.
For a 90° clockwise or 270° counter clockwise, take the opposite of the x coordinate then switch the coordinates.
(-5, -3) -----> (5, -3) ------> (-3, 5)
You can also rotate your screen 90° clockwise to see the new coordinates for A.
So first you would need to multiply each numbers....
4 x 1016 = 4064
5 x 108 = 540
Then all you would have to do is subtract 4064 from 540.
Your answer is 3524.
<span>4 x 1016 (4064) is 3,524 times larger than 5 x 108 (540).
PLEASE MARK AS BRAINLIEST!</span>
Check the picture below. You can pretty much just count the units off the grid.
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 :)
So we can make an equation for this, being 7=1/3x, as that effectively says she can make 3 drawings per page.
Knowing this, we can multiply it by 3 to get x=21 (since if she can draw 3 drawings per page, we can imagine that if each drawing took a page she would need 3 times the pieces of paper), therefore she can make 21 drawings.
