All categories

2 years ago

The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?

Mathematics

1 answer:

julia-pushkina [17]2 years ago

5 0

The perpendicular line would have a slope of A) -3/2.

Perpendicular lines have opposite and reciprocal slopes.

To do the opposite, take the original slope (2/3) and change the sign (-2/3).

To do the reciprocal, take the slope we changed (-2/3) and flip it as a fraction (-3/2).

This gives us a new slope of -3/2.

You might be interested in

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

3 years ago

Read 2 more answers

A certain math textbook is 3/4 of an inch thick. how many of these books will fit on a shelf that is 3 feet wide

Advocard [28]

48 books will fit on this shelf.

6 0

2 years ago

What is 9x+3=21<br> What is the value of x=

valentinak56 [21]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Answer plz plz for brainleiest

Archy [21]

Answer:

-.5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Please Help Me!<br> *Question Is Below Here*

SCORPION-xisa [38]

The product of this equation is 21 when the values of X and Y are imputed into the equation.

5 0

3 years ago

Read 2 more answers