All categories

3 years ago

What is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)

Mathematics

1 answer:

julsineya [31]3 years ago

5 0

Answer:

y=-2x-12

Step-by-step explanation:

first, putt 3x-6y=2 in standard form:

subtract 3x from both sides: -6y=-3x+2

divide both sides by -6 to isolate y: y=1/2x-1/3

if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2

now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)

y+2=-2(x+5)

Use the distributive property: y+2=-2x-10

subtract 2 for both sides to isolate y: y=-2x-12

You might be interested in

The rectangle below has an area of x^2+8x+15x

Darina [25.2K]

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of $x^2+8x+15$ square meter and a width of $x+3$ meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

$\text{Area}=\text{Length}\times \text{Breadth}$

$\text{Area}=x^2+8x+15$

$\text{Breadth}=x+3$

$x^2+8x+15=\text{Length}\times(x+3)$

$\text{Length}=\frac{x^2+8x+15}{x+3}$

$\text{Length}=\frac{(x+5)(x+3)}{x+3}$

$\text{Length}=x+5$

Therefore, the length of the rectangle is x+5.

7 0

4 years ago

What me the answer to s-8=9

Irina-Kira [14]

Answer: -2 i believe because if you take and subtract one from 8 you should get 9

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A(n) ________ requires member nations to harmonize their tax, monetary, and fiscal policies and create a common currency. common

Citrus2011 [14]

Answer:

Economic union

Explanation:

Economic union -

It is the form of a trade bloc that is made up of the common market along with the customs union , is known as the economic union .

the countries participating in this , have some common policies and rules for the freedom of movement , factors of production , goods and services .

hence , from the question , the correct term for the given statement is economic union .

7 0

3 years ago

The attachment is above

Alenkasestr [34]

Answer:21

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the a

gogolik [260]

3.5 squared. 12.25 times more would be the answer.

8 0

3 years ago

Read 2 more answers

What is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)​

What is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)