Ask question

Ask question

All categories

3 years ago

6

what is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3 (x – 6) and passes thr

ough the point (−2, −2)? y = –x – 10/3 y = –x 10/3 y = x – 1 y = x 1

1 answer:

velikii [3]3 years ago

6 0

For perpendicular lines, m2 = -1/m1 = -1/(-2/3) = 3/2 [m1 = -2/3]

Required equation is y + 2 = 3/2(x + 2) => y + 2 = 3/2 x + 3 => y = 3/2 x + 1

You might be interested in

After hiking at the top of the mountain, Mark starts to descend at the rate of 150 ft per hour. What is his vertical change afte

Gnom [1K]

Answer:

225 feet

Step-by-step explanation:

That would be 150 * 1.5

= 225 ft

7 0

3 years ago

A company’s board of directors wants to form a committee of 3 of its members. There are 4 members to choose from. How many diffe

Ugo [173]

Answer:

4

Step-by-step explanation:

There are 4 board members and 3 committee members. You can solve this using combinations:

4C3 = 4!/(3!(4-3)!) = 4!/(3!1!) = 4

You can also solve this by recognizing that since there is one fewer committee spot than there are board members, there will be one possible committee excluding each of the 4 board members.

4 0

4 years ago

How do you write 304,001 in two forms

a_sh-v [17]

3,000+4,000+1
Three hundred four thousand, one

6 0

3 years ago

A 20 foot ladder is resting against the side of the house the base of the latter is 4 feet away from the house approximately how

notka56 [123]

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

$a^{2} +b^{2}=c^{2}$

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

$x^{2} +4^{2} =20^{2}$

solve for x

$x^{2}$ + 16 = 400

$x^{2}$ = 384

x = 8√6

or

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

3 years ago

((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Lina20 [59]

Answer:

A

Step-by-step explanation:

A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.

If |r| ≥ 1 then the geometric series diverges.

12/5 + 48/25 + 192/125 + ....

r = 192/125 ÷ 48/25 = 4/5

r = 48/25 ÷ 12/5 = 4/5

In the series, r is less than 1. So the series is convergent.

5 0

3 years ago