3 years ago

Factorise the equation 9x^2 - 4

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

9x² - 4 = (3x)² - 2²

= (3x + 2 )(3x - 2)

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Use the Pythagorean theorem to find the unknown side of the right triangle.

Nesterboy [21]

The length of hypotenuse is 39.

Step-by-step explanation:

Given,

Vertical side = a = 15

Horizontal side = b = 36

Hypotenuse = c

Using pythagorean theorem

$a^2+b^2=c^2\\(15)^2+(36)^2=c^2\\225+1296=c^2\\1521=c^2\\c^2=1521$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{1521}\\c=39$

The length of hypotenuse is 39.

Keywords: square root, addition

Learn more about square roots at:

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4 years ago

What is the common difference for this arithmetic sequence?<br> -6, -2, 2, 6, 10, ...

FrozenT [24]

Answer:

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3 years ago

An accountant invested $5000 at a simple interest rate of 8% for 2 years. What total amount of money will she have from her inve

il63 [147K]

Answer:

$5800 plz give the brainliest

Step-by-step explanation:

you have to muliyiply everything so 5000*.08*2 which is 800 now add that to 5000 because thats the amount she put in so it will be $5800.

6 0

3 years ago

Solve x + 3y = 9. 3x – 3y = –13

Sloan [31]

$Question \ 1) \ x + 3y = 9$

$
x=9-3y
 
$ $|Subtract \ 3y \ from \ both \ sides|$

$Question \ 2) \ 3x - 3y = -13$

$
3(x-y)=-13
 
$ $|Factor \ out \ the \ common \ term \ 3|$

$x-y= \dfrac{13}{3}$ $|Divide \ both \ sides \ by \ 3|$

$x=- \dfrac{13}{3}+y$ $|Add \ y \ to \ both \ sides|$

$x=y- \dfrac{13}{3}$ $|Regroup \ terms|$

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3 years ago

at davidson's bike rentals it cost $42 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?

Alona [7]

Answer:

3/14 of an hour

Step-by-step explanation:

9 hours/42 dollars

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3 years ago