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2 years ago

write an equation of the line that passes through the given point(-2,5) and is parallel to the given line 2y=4x-6

Mathematics

1 answer:

iragen [17]2 years ago

6 0

Y=2x+b

substitute -2 for x and 5 for y
5=2(-2)+b4

Solve for b
b=9

The equation is
y=2x+9

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Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the

Pani-rosa [81]

Answer: The missing number in the sequence is $\frac{7}{6}$

Step-by-step explanation:

Since we have given that

$\frac{1}{6},\frac{1}{2},\frac{5}{6},----------,\frac{11}{2}$

First term = a= $\frac{1}{6}$

Common difference = d is given by

$d=a_2-a_1\\\\\frac{1}{2}-\frac{1}{6}\\\\=\frac{6-2}{12}\\\\=\frac{4}{12}=\frac{1}{3}\\\\Similarly,\\d=a_3-a_2\\\\=\frac{5}{6}-\frac{1}{2}\\\\=\frac{10-6}{12}\\\\=\frac{4}{12}\\\\=\frac{1}{3}$

Therefore, it forms an arithmetic sequence.

Since, $a_4$ is missing,

So,

$a_4=a+3d\\\\a_4=\frac{1}{6}+3\times \frac{1}{3}\\\\a_4=\frac{1}{6}+1\\\\a_4=\frac{1+6}{6}\\\\a_4=\frac{7}{6}$

Hence, the missing number in the sequence is $\frac{7}{6}$

4 0

3 years ago

Read 2 more answers

Factor 3xy+21x+9 completely

inn [45]

Answer:

<h2>Hence the second option is the correct answer</h2>

Step-by-step explanation:

In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.

here is a way to do it

given the following expression

$3xy+21x+9$

From the expression above we can see that 3 is common to all the terms of the expression so that we have

$3(xy+7x+3)$

hence the second option is the correct answer

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2 years ago

What is the name of this chord

Anon25 [30]

Link provided in other answer is a SCAM !!! Don’t click on it.

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2 years ago

HELP im having trouble with this problem :( 3 /1 (4⋅3)+2 / 3

malfutka [58]

Answer:

36.6666666667

Step-by-step explanation:

3(12)+2/3

3 0

3 years ago

.<br> What is (4x2-9X+1) -(5x2-x-7) written in standard form?

bija089 [108]

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

7 0

3 years ago