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aleksandrvk [35]
3 years ago
5

3(4x - 2) = 5x + 15 help asap

Mathematics
2 answers:
Nutka1998 [239]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

12x-6=5x+15

12x=5x+21

7x=21

x=3

VikaD [51]3 years ago
5 0

3(4x - 2) = 5x + 15

multiply the bracket by 3

(3)(4x)=12x

(3)(-2)=-6

12x-6=5x+15

move 5x to the other side

sign changes from +5x to -5x

12x-5x-6=5x-5x+15

12x-5x-6=15

7x-6=15

move -6 to the other side

7x-6+6=15+6

7x=15+6

7x=21

divide both sides by 7 to get x by itself

7x/7=21/7

Answer: x=3

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How much would $200 invested at 6% interest compounded a 6% interest compounded annually be worth after 5 years, round to the ne
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4 years ago
A certain spinner has equally sized slices. The probability of landing on a red slice is 4/9. What are the odds in favor of land
Novosadov [1.4K]
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-----------------------------------

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4 0
4 years ago
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Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
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