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2 years ago

12

Which represents slant asymptotes? select all that applies I'll choose the brainliest

1 answer:

Stella [2.4K]2 years ago

8 0

Its the first, third, and fourth option. Im doing the hw now:)!

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For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.

Flauer [41]

$\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\$

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$\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276$

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$\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}$

8 0

2 years ago

Find the length of AB. Leave

vovikov84 [41]

Answer:

<em>AB = 3π</em>

Step-by-step explanation:

<em>See attachment for correct format of question.</em>

Given

From the attachment, we have that

θ = 20°

Radius, r = 27

Required

Find length of AB

AB is an arc and it's length can be calculated using arc length formula.

$Length = \frac{\theta}{360} * 2\pi r$

<em>Substitute 20 for θ and 27 for r</em>

$Length = \frac{20}{360} * 2\pi *27$

$Length = \frac{20 * 2\pi * 27}{360}$

$Length = \frac{1080 \pi}{360}$

$Length = 3\pi$

Hence, the length of arc AB is terms of π is 3π

3 0

3 years ago

Ge A flower bed has the shape of a rectangle 24 feet long and 9 feet wide. What is its area in square yards? Be sure to include

Nonamiya [84]

Answer:

area = 24 yd²

Step-by-step explanation:

convert the dimensions into yards using the conversion

1 yard = 3 feet

24 feet = $\frac{24}{3}$ = 8 yards

9 feet = $\frac{9}{3}$ = 3 yards

area = length × width = 8 × 3 = 24 yd²

5 0

2 years ago

ohaa [14]

Answer:

Love vines!

Step-by-step explanation:

But vine left us while getting milk. And tick tock is like our step father that we've grew to love :)

4 0

2 years ago

Read 2 more answers

What is 12222 × 333. plz i need this for 2morrow

erica [24]

12222x333=4069926 is the answer

6 0

2 years ago

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