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3 years ago

Write the equation of the line perpendicular to 2x - 6y = 12 that passes through the point (-3,0).

Mathematics

2 answers:

Trava [24]3 years ago

7 0

Answer:

y = -3x -9

Step-by-step explanation:

slope = 1/3

perpendicular slope = -3

y = mx + b

0 = -3(-3) + b

-9 = b

y = -3x -9

Alex_Xolod [135]3 years ago

4 0

Answer:

y = -3x-9

Step-by-step explanation:

2x - 6y = 12

Solving for y we get

-6y = -2x+12

y = 1/3x -2

The slope is 1/3

Perpendicular lines have slopes that multiply to -1

m * 1/3 = -1

Multiply each side by 3

m * 1/3 * 3 = -1 *3

m = -3

The perpendicular line has a slope of -3

Using the slope intercept form

y = mx+b

y = -3x +b

And the point (-3,0) is substituted into the equation

0 = -3(-3) +b

0 = 9+b

B = -9

y = -3x-9

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djverab [1.8K]

Answer:

(a+b)/c

Step-by-step explanation:

a/c+b/c

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3 years ago

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Lapatulllka [165]

Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

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$A=P(e)^{rt}$

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r is the rate of interest in decimal

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we have

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$2x=x(e)^{0.036t}$

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$2=(e)^{0.036t}$

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$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

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$ln(2)=[0.036t]$

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7 0

3 years ago

What is the solution to this equation:<br> X+7=-8

Brilliant_brown [7]

Answer:

$\boxed {x = -15}$

Step-by-step explanation:

Solve for the value of $x$ :

$x + 7 = -8$

-Subtract both sides by $7$ :

$x + 7 - 7 = -8 - 7$

$\boxed {x = -15}$

So, the value of $x$ is $-15$ .

3 0

3 years ago

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andreev551 [17]

Answer:

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The average surface temperature of Earth rising steadily. Scientists have modeled the temperature by the equation, T = 0.02t + 8.50 where t represents years since 1900 and T is the temperature in ◦C.

Now, the slope of the model equation is 0.02 which means the rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.

Again, the T-intercept i.e. 8.5 represents the temperature in °C of the earth's surface in the year 1900. (Answer)

7 0

3 years ago

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Inessa05 [86]

Answer:

Please find attached the graph of the following function;

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The areas where the function is defined are shown in continuous lines

8 0

3 years ago