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inn [45]
2 years ago
7

What is an equation of the line that passes through the points (8,-8) and (-5,-8)

Mathematics
1 answer:
Vanyuwa [196]2 years ago
4 0

Step-by-step explanation:

steps are in picture above.

<u>N</u><u>o</u><u>t</u><u>e</u><u>:</u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>n</u><u>e</u><u>e</u><u>d</u><u> </u><u>t</u><u>o</u><u> </u><u>a</u><u>s</u><u>k</u><u> </u><u>a</u><u>n</u><u>y</u><u> </u><u>question</u><u> </u><u>please</u><u> </u><u>l</u><u>e</u><u>t</u><u> </u><u>me</u><u> </u><u>know</u><u>.</u>

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Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )
vesna_86 [32]
\bf y=cot\left(x-\frac{2\pi }{3}  \right)\implies y=\cfrac{cos\left(x-\frac{2\pi }{3}  \right)}{sin\left(x-\frac{2\pi }{3}  \right)}

now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

\bf sin\left(x-\frac{2\pi }{3}  \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3}  \right) \right]=sin^{-1}(0)&#10;\\\\\\&#10;x-\frac{2\pi }{3}=&#10;\begin{cases}&#10;0\\&#10;\pi &#10;\end{cases}\implies \measuredangle x=&#10;\begin{cases}&#10;\frac{2\pi }{3}\\&#10;\frac{5\pi }{3}&#10;\end{cases}

now, at those angles, the function is asymptotic, check the picture below

3 0
3 years ago
Read 2 more answers
pls help . Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. Explain
Grace [21]
i don’t know hopefully you do good tho
4 0
2 years ago
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Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 MSRP, a 79% residual value, and a money factor
Scrat [10]
<h3>Option A</h3><h3>The monthly lease payment for a 36-month lease on a car  is $ 358.64</h3>

<em><u>Solution:</u></em>

Given that,

MSRP of car = $29,000

Percentage of residual = 79% = \frac{79}{100} = 0.79

<em><u>Find residual value</u></em>

\text{Residual value } = \text{ MSRP } \times \text{ Percentage of residual } \\\\\text{Residual value } = 29000 \times 0.79 \\\\\text{Residual value } = 22910

<em><u>Find the depreciation amount</u></em>

Depreciation amount = cost - residual value

Depreciation amount =  29000 - 22910 = 6090

<em><u>Find Base monthly lease payment</u></em>

\text{Base monthly lease payment } = \frac{ \text{ Depreciation amount  }}{ \text{ number of months }}

\text{ Base monthly lease payment } = \frac{6090}{36} = 169.1667

<em><u>Find Interest per month</u></em>

\text{ Interest per month } = (cost + residual ) \times \text{ money factor }

\text{Interest per month } = (29000 + 22910) \times 0.00365= 189.4715

<em><u>Find monthly lease payment</u></em>

Monthly lease payment = Base monthly lease payment + Interest per month

Monthly lease payment = 169.1667 + 189.4715 = 358.6382 \approx 358.64

Thus monthly lease payment is $ 358.64

Option A is correct

5 0
3 years ago
Read 2 more answers
This is probably super easy. BRAINLIEST!!!!
DIA [1.3K]
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99% of 100 = 99 less than original

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2 years ago
Airline companies raise and lower their ticket prices based on the supply and demand. due to high numbers of fliers, one company
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1.04p=234

p=234/1.04

p=$225
4 0
3 years ago
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