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e-lub [12.9K]
2 years ago
10

A canoe team leaves the dock at a bearing of 25° south

Mathematics
1 answer:
balandron [24]2 years ago
8 0

Answer:

ijnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

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X²+Y²=250 and XY=117<br> What are the values of X and Y?
yan [13]

Answer:

<h3>            x = -9,  y = -13 </h3><h3>    or    x = 13,   y = 9</h3><h3>    or    x = -13,  y = -9</h3><h3>    or     x = 9,   y = 13</h3>

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
3 years ago
What operation does “the sum of 4 and 18” indicate?
skelet666 [1.2K]

Step-by-step explanation:

22 because if we add4+18=22

7 0
3 years ago
Read 2 more answers
21. A square carpet has an area of 9 square meters.
blondinia [14]

Answer:

The answer is: 3 feet.

Step-by-step explanation:

The area is found by multiplying the width times the length. For a square, the length = the width.

Multiply 3 * 3 to get 9. So each side is 3 feet.

7 0
3 years ago
Heidi has 6 pounds of tomatoes from her garden. She used 3/4 of all the tomatoes to make sauce and gave 2/3 of the rest of the t
iren2701 [21]

Answer:

She gives 16 ounces to her neighbor

Step-by-step explanation:

How much did you use to make sauce

6 * 3/4 = 18/4 =9/2 = 4.5  lbs

That leaves 6-4.5 = 1.5 lbs

She give 2/3 of this to her neighbor

1.5 * 2/3

Changing the decimal to a fraction

3/2 * 2/3 = 1

She gives 1  pound to her neighbor, but we want it in ounces

16 ounces equals 1 pound

She gives 16 ounces to her neighbor

6 0
3 years ago
Write 82.25% as a fraction in simplest form
tiny-mole [99]

The Answer To your Question is: 33/40

8 0
3 years ago
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