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astraxan [27]
3 years ago
9

The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

y the equation yield the pictured ellipse.
Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

This is NOT the graph of a function y=f(x). However, if you solve the original equation for y in terms of x, you can break the graph into two pieces, each of which is the graph of a function.

The real solution are : x= -4/sqroot7, y= 2/sqroot 7

                                         x= 4/sqroot7, y= -2/sqroot 7

integer solution are: (-1,2) , (1,-2), (1,1)

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Raina's penny bank is  1/4  full. After she adds  360  pennies, it is  5/8  full. How many pennies can Raina's bank hold? ​
Triss [41]

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

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2 years ago
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Find the area of the shaded figure. Give answer in decimal to the hundredth place.
Firdavs [7]

Answer:

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3 years ago
Which ordered pair is a solution to the system of equations?
iren2701 [21]

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

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

Given equation are not presented in proper format. So, let assume the given system of are as below,

         2 x - y = -1

         2 x -4 y = 8

Now, subtract the second equation from the first, we get

          (2 x - y) -(2 x - 4 y) = -1 -8

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           y = -3 (obtained this when divide by 3)

Substituting y = - 3 into the first equation, we get

          2 x - (-3) = - 1

          2 x = - 1 + 3

          x = - 2 (obtained when divide by 2)

Now, the answer is (x, y) = (- 2, - 3)

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3 years ago
CAN SOMEBODY ANSWER SOME OF MY MATH QUESTIONS I POSTED ALREADY?
earnstyle [38]

Answer:

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Step-by-step explanation:

3 0
3 years ago
kai owns a bakery and uses 25 grams of sugar for every 75 grams of butter in a pastry recipe. Using this information, complete t
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50/150, 75/225, 100/300, 125/375.
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3 years ago
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