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3 years ago

3: Find the equation of the line parallel to 2x - 3y = 9, passing through the point (-6, 3)

Mathematics

1 answer:

kirza4 [7]3 years ago

3 0

Your answer is C.Y=-3/2x-6

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A system of equations is shown below.

prisoha [69]

Given:

The system of equations is

$y=1.5x-3$

$y=1.5x+4$

To find:

The true statement about the given system of equations.

Solution:

The slope intercept form of a line is

$y=mx+b$

Where, m is the slope and b is the y-intercept.

We have,

$y=1.5x-3$

$y=1.5x+4$

On comparing these two lines with slope intercept form, we get

$m_1=1.5,b_1=-3$

$m_2=1.5,b_2=4$

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

Therefore, the correct option is A.

5 0

3 years ago

The radius of circle A is 4 times greater than the radius of circle B. Which of the following statements is true?

Black_prince [1.1K]

Answer:

Correct answer: C. Ca = 4 Cb

Step-by-step explanation:

Given: Ra = 4 Rb

Ca : Cb = ?

Using the following formula to calculate the circumference of a circle:

C = 2 R π

Cb = 2 Rb π

Ca = 2 Ra π = 2 ·( 4 · Rb) · π = 4 · (2 Rb π) = 4 · Cb

Ca = 4 · Cb

God is with you!!!

3 0

3 years ago

A recursive rule for a geometric sequence is a1=3;an=12an−1 . What is the explicit rule for this sequence?

ehidna [41]

From the recursive rule, you can tell the initial value is 3 and the common ratio is 12. The explicit rule is always
.. (n-th term) = (initial value)*(common ratio)^(n -1)

Subsituting the values you know, you have
.. an = 3*12^(n-1)

6 0

3 years ago

Answer all of these and I will give you 35 points!!!!!!!!!!!!!!!!!!!!!

aev [14]

9. LCM of 9, 12, and 15 is 180

12. LCM of 15, 18, and 30 is 90

15. LCM of 40 and 1 is 40

16: factors of 24 : 1,2,3,4,6,8,12, and 24

17: factors of 63 : 1, 2, 4, 8, 16, 32 and 64.

18: factors of 50 : 1, 2, 5, 10, 25, and 50

19: LCM of : 3 , 2 , 7 is 42

20: LCM of : 15 , 2 is 30

21: LCM of : 45, 30 is 90

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7 0

2 years ago

Cindy has 89 coins. If 15% are dimes, how many are not

Bumek [7]

Hi,
to find out the answer you need to divide 89 by 10 than by 5. Add those two answers together which is 23.73. That answer is dimes so 89-23.73=65.27..:) you could round the number up. I hope it helps!!!

7 0

3 years ago