Please Help! 40 Points!

X²+Y²=250 and XY=117<br> What are the values of X and Y?

yan [13]

Answer:

Step-by-step explanation:

$x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}$

$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$

6 0

4 years ago

Please help me <br> i'll mark u as brainiest if u get it right

Black_prince [1.1K]

Answer: a) 46 minutes
b) 10:47

The basic knowledge for this is that 60 minutes = 1 hour

<u>a)</u> Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes

Here you go! Total 46 minutes from Mosley to Bamford.

<u>b)</u> From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.

∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛

4 0

2 years ago

HELP PLEASE I'M WRITING A TEST!!!<br> x+3/4 = x+5/6

Keith_Richards [23]

Answer:

no solution

Step-by-step explanation:

if u plug a random number like 1 for example 1+3/4=1 3/4 and 1+5/6=1 5/6

1 3/4 =1 5/6-this is NOT equal

so no solution

hopefully that helps! please let me know if i did anything wrong thanks!

5 0

3 years ago

Help me answer 99 plz

Vitek1552 [10]

One tick behind one is 3/4, 1/8 is basically half of 1/4, so find 1/4 and find 1/8, 0 is sort of obvious but then not obvious. three ticks behind 3/4. 2 2/3, count UP from 1 1/4 to find 2 2/3. I really hope I helped! :)

5 0

4 years ago

A gardener measures every plant in her garden and notes that 28% are under 6 inches, 54% are between six and 8 inches and the re

Masteriza [31]

<u>Answer:</u>

The vertical axis should begin with 0 inches.

<u>Step-by-step explanation:</u>

The vertical axis must start with 0 inches to ensure accuracy for the measures of every plant since 28% of the plants in the garden are under 6 inches.

If the vertical axis begins with 6 inches or above, we can miss a lot of the gardener's data, especially the plants which are under 6 inches.

Therefore, to ensure that the graph does not mislead any measures of the plant, the vertical axis must begin with 0 inches.

3 0

3 years ago

Read 2 more answers