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Firlakuza [10]
2 years ago
7

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

Mathematics
2 answers:
Trava [24]2 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]2 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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Answer:

4032 integers.

Step-by-step explanation:

Lest start with -2016. There are 2016 integers from -2016 to 0. Then we see how many integers are from 0 to 2016. there are 2016. If you add them up, you get 4032.

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3 years ago
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Help me I need the answer to #2 and #4
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Number 2 is 84.13
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2 years ago
Use the following function rule to find f(12). f(x)=10x-4, f(12)=
DaniilM [7]

f(x)=10x-4, f(12)= 116

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2 years ago
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What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0
kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0
3 years ago
Steven tiene un tapete rectangular con un perímetro de 16 pies.y el ancho del tapete es 5 pies Cual es la longitud del tapete? n
Sunny_sXe [5.5K]

Answer:

l = 3\,ft

Step-by-step explanation:

La ecuación de perímetro del tapete es (The equation of perimeter of the carpet is):

p = 2\cdot (w + l)

Donde (Where):

w - Ancho (Width)

l - Longitud (Length)

La longitud se determina por despeje (The length is determined by clearing it):

l = \frac{p}{2} - w

l = \frac{16\,ft}{2} - 5\,ft

l = 3\,ft

8 0
3 years ago
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