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Katen [24]
3 years ago
9

Expand the polynomial (x2 − y2)2 + (2xy)2, then simplify it by combining like terms.

Mathematics
1 answer:
Vlada [557]3 years ago
8 0
<span><span>2<span>x^2</span></span>+<span><span>4x</span>y</span></span>−<span>2<span>y^<span>2
hope this helps</span></span></span>
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GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!
Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

3 0
3 years ago
PLEASE, PLEASE IM BEGGING YOU
lubasha [3.4K]

Answer:

d

Step-by-step explanation:

hope this helped!!!!!

5 0
2 years ago
My question is:
8090 [49]
Uh it's 5? I'm confused
8 0
3 years ago
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elsa is designing a commercial jet. she drew a model of her design using the scale shown below. According to her design what wil
stiv31 [10]

Answer:

55

Step-by-step explanation:

5 0
2 years ago
Find the area of the shape
MAVERICK [17]

Answer:

A=42.5

Step-by-step explanation:

First you split this shape into a square and a triangle.

The area of the square is 5✖️5=25.

Then, there is a triangle left.

We do not know about the hypotenuse, but the sides are 5 and 7.

5✖️7=35/2<-- because it is a triangle. =17.5

You add both areas, and you get the total of 42.5.

Hope this helps!

3 0
2 years ago
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