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2 years ago

The line passes through (8,-7) and is parallel to the line whose equation is y=2x+2.

Mathematics

2 answers:

Zanzabum2 years ago

8 0

y=2x+2

Compare to slope intercept form

Slope=m=2

Parallel lines have slopes equal

Equation in point slope form

y+7=2(x-8)
y+7=2x-16
y=2x-23

Mademuasel [1]2 years ago

4 0

Answer:

y = 2x -23

Explanation:

Given equation: y = 2(x) + 2

Comparing with slope intercept formula: y = m(x) + b

where m is slope, b is y-intercept

Here slope: 2 as parallel line has same slope

Find equation:

y - y1 = m(x-x1)

y -(-7) = 2(x-8)

y + 7 = 2x - 16

y = 2x - 16 - 7

y = 2x -23

Given graph to confirm answer:

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We are given

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We will find common ratio between successive terms

and then we check whether they are equal

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$r_1=\frac{4}{2}=2$

r2=(third term)/(second term)

$r_2=\frac{8}{4}=2$

r3=(fourth term)/(third term)

$r_3=\frac{16}{8}=2$

r4=(fifth term)/(fourth term)

$r_4=\frac{32}{16}=2$

we can see that all four ratios are same

$r_1=r_2=r_3=r_4=2$

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

$r=2$

Let's assume

number of terms is n

first term is 2

$a_1=2$

now, we can use formula

$a_n=a_1 (r)^{n-1}$

we can plug values

and we get

$a_n=2(2)^{n-1}$

$a_n=2^1(2)^{n-1}$

$a_n=(2)^{n-1+1}$

$a_n=(2)^{n}$ ..................Answer

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3 years ago

You decide you need a new computer. The cost of the computer is $768. However,

igor_vitrenko [27]

Answer:32

Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago

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22 and 27 is the answer. what else do you need??

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The line passes through ​(​8,-7​) and is parallel to the line whose equation is y=2x+2.

The line passes through (8,-7) and is parallel to the line whose equation is y=2x+2.