4 years ago

-10,-6,-2,... (32nd )

Mathematics

1 answer:

zepelin [54]4 years ago

4 0

Answer:

114

Step-by-step explanation:

xₙ = x₁ + 4* (n-1)

x₃₂ = - 10 + 4 * 31 = 114

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Read 2 more answers

Factorise 3x^3 - 12xy^2

igomit [66]

Answer:

we can conclude that:

$3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)$

Step-by-step explanation:

Given the expression

$3x^3-12xy^2$

Let us factorize the expression

$3x^3-12xy^2$

Apply the exponent rule: $a^{b+c}=a^ba^c$

$3x^3\:-\:12xy^2=3xx^2-12xy^2$

Rewrite 12 as 4 · 3

$=3xx^2-4\cdot \:3xy^2$

Factor out the common term 3x

$=3x\left(x^2-4y^2\right)$

$\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$

$=3x\left(x+2y\right)\left(x-2y\right)$

Therefore, we can conclude that:

$3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)$

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3 years ago

Find the surface area of the regular pyramid

love history [14]

Greetings from Brazil!

$4\dfrac{1}{2} =\dfrac{9}{2}$

$Af1=\dfrac{b\cdot h}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{9}{2} \cdot 4}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{36}{2} }{2} \cdot 4\\\\\\Af1=\dfrac{18}{2} \cdot 4\\\\Af1=9\cdot 4\\\\Af1=36~m^2$

$Af2=l^2\\\\Af2=(\dfrac{9}{2})^2\\\\\ Af2=\dfrac{81}{4}\\\\Af2=20,25~m^2$

$At=Af1+Af2\\At=36+20,25\\At=56,25~m^2$

I hope I helped you! =)

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3 years ago