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3 years ago

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