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Ad libitum [116K]
1 year ago
6

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

Mathematics
2 answers:
Zanzabum1 year 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]1 year ago
4 0

Answer:

y = 2x -23

Explanation:

Given equation: y = 2(x) + 2

<u>Comparing with slope intercept formula</u>: y = m(x) + b

                                             <em>where m is slope, b is y-intercept</em>

Here slope: <u>2</u> 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

<u>Given graph to confirm answer</u>:

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The general term for the sequence 2, 4, 8, 16, 32, . . . is
Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

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


5 0
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:

768/24=32

6 0
3 years ago
6) Copy and complete each sequence below.A)1,3,6,10,___,____b)8,7,5,2,____,____c)1,4,9,16,____,_____d) What is the pattern for c
Free_Kalibri [48]

Answer:

A) 15,21

B) -2,-7

C) 25,36

D) These numbers are square roots of 1,2,3,4,....

Hope this will help:)

5 0
3 years ago
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