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3 years ago

What value of x is in the solution set of -2(3x + 2) > -8x + 6? 0 -6 05 05 O 6

Mathematics

1 answer:

satela [25.4K]3 years ago

8 0

Answer:

x>5

Step-by-step explanation:

-2(3x+2)>-8x+6 do the () first

-6x-4>-8x+6 add 8x to both sides

2x-4>6 add 4 to both sides

2x>10 divide by 2

x>5

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11Alexandr11 [23.1K]

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4 years ago

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Andrews [41]

Step-by-step explanation:

1 is wrong, because if it says the sum of 5 times the number m and 12 that means its 5(m+12)=27

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3 years ago

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Hunter-Best [27]

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3 years ago

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Find (a) the arc length and (b) the area of a sector.

Brut [27]

Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{3 \pi}{2}$
r = 5 ft

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}$

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3 years ago

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