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Ronch [10]
3 years ago
13

PART 3 PLZ ANSWER 32 POINTS

Mathematics
1 answer:
balandron [24]3 years ago
6 0

i think you can do this one :    )

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If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question... ​
solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

  • 3x - 2y = 9
  • 27x^3 - 8y^3 = 1377

And we need to find the prove that ,

  • xy = 4

We know a identity as ,

  • (a-b)^3 = a^3-b^3-3ab(a-b)

On cubing both sides of the given equation,

  • (3x-2y)^3 = 9^3

Simplify and then substitute ,

  • 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729

  • 1377 - 18xy (9) = 729

  • 162xy = 1377-729

  • xy =\dfrac{648}{162}

  • xy = 4

Hence Proved !

8 0
3 years ago
-5x^2-6=-4x using the Quadratic Formula.
a_sh-v [17]

Answer:

Step-by-step explanation:

-5x² - 6 = -4x

-5x² + 4x - 6 = 0

a = -5  ; b = 4  ; c = -6

Discriminant = b² - 4ac

                     = 4² - 4*(-5)*(-6)

                     = 16 - 120

                     = -104

roots = \dfrac{-b+\sqrt{D}}{2a} \ ; \   \dfrac{-b-\sqrt{D}}{2a}

=\dfrac{-4+\sqrt{-104}}{2*(-5)};\dfrac{-4-\sqrt{-104}}{2*(-5)}\\\\=\dfrac{-4+2i\sqrt{26}}{-10} ; \dfrac{-4-2i\sqrt{26}}{-10}\\\\=\dfrac{(-2)[2-i\sqrt{26}]}{-10} \ ; \ \dfrac{(-2)[2+i\sqrt{26}]}{-10}\\\\=\dfrac{2-i\sqrt{26}}{5} \ ; \ \dfrac{2+i\sqrt{26}}{5}

5 0
3 years ago
Help its for math will give brainly Find the area of the hexagon.
borishaifa [10]

Answer:

the area of the hexagon is 68 cm²

Step-by-step explanation:

Let us observe the image a little, we can find the area of the hexagon equals to the area of the large rectangle minus 4 small triangles surrounding the hexagon. The area of the rectangle is 8 × 12 is 96 cm². The area of 1 small triangle is 4 × 3.5 ÷ 2 = 7, there are 4 triangles, so the total area is 4 × 7 = 28. So the hexagon's area is 96 - 28 = 68 cm²

Hope this will help❤️

3 0
3 years ago
What is the sum of the measures of the interior angles of a pentagon and 10-gon (decagon)?
Arada [10]

Answer:

540

Step-by-step explanation:

sum of interior angles =(n-4)90

(10-4)90=

6×90=540

5 0
3 years ago
Read 2 more answers
Jannie has a budget of $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many
marysya [2.9K]
240-95=145
145÷22.50=6.44444
OR about 6 shirts
6 0
3 years ago
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