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3 years ago

Simplify (a^2)(a^7)(b^3)

Mathematics

1 answer:

torisob [31]3 years ago

7 0

Answer: a^9 b^3

Step-by-step explanation:

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Pls help trig question!!

s2008m [1.1K]

$4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\$

$\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68$

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2 years ago

What is the sum of 6/7 and 1/2?

Svetllana [295]

The sum of the fraction 6/7 and 1/2 is 19/14

<h3>How to add fractions</h3><h3 />

Given:

sum of 6/7 and 1/2

Sum means addition(+)

= 6/7 + 1/2

The least common denominator is 7 × 2 = 14

= 6/7 + 1/2

= (12+7) / 14

= 19/14

Therefore, the sum of 6/7 and 1/2 is 19/14

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2 years ago

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What is the partial product of 4.6 x 3.5

PIT_PIT [208]

The partial product of 4.6×3.5 is 16.1

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3 years ago

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I need help with this question please

umka21 [38]

Answer:

C. 9

Step-by-step explanation:

$area \: of \: square = {side}^{2} \\ \therefore \: {side}^{2} = 81 \\\therefore \: side = \sqrt{81} \\ \therefore \: side = 9 \: feet$

Hence, side length of square = 9 feet.

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3 years ago

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[LOOK AT THE PICTURE URGENT]

zhenek [66]

Answer:B

Step-by-step explanation:if it's a negative 3/4x then in be there is a -4 and there is a -7 so we can do -7 -4 but 4 is a negative so it turns into a positive so it's _

-7+4 and it become a smaller negative so -7+4 = -3. So it has to be B. Hope this gets brainliest

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3 years ago

Simplify (a^2)*(a^7)*(b^3)

Simplify (a^2)(a^7)(b^3)