We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
The answer is A because if you do the 40 dagree and a coodinate plane it forms a triangle.
Example of six ordered pairs with country names alongside their capitals are:
{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.
<h3>What are Ordered Pairs?</h3>
- Ordered pair can be described as a pair of objects or numbers in a particular order.
- In an ordered pair, the order of the objects or numbers are very important. For example, (a, b) is not the same as (b, a).
Therefore, example of six ordered pairs with country names alongside their capitals are:
{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.
Learn more about ordered pairs on:
brainly.com/question/1090891
The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.
<h3>What is the volume of an hemisphere?</h3>
An hemisphere is half of a sphere. Therefore,
volume = 2 / 3 πr³
where,
Therefore,
r = 7 feet
volume = 2 / 3 × 3.14 × 7³
volume = 2 / 3 × 3.14 × 343
volume = 2154.04 / 3
volume = 718.013333333
volume = 718.013
Therefore,
density = mass / volume
93 = mass / 718.013
mass = 718.013 × 93
mass = 66775.24
mass ≈ 66775 pounds
learn more on hemisphere here: brainly.com/question/14527816
Answer:
equation: y=41-11
answer: the desk is 30 inches.
Step-by-step explanation:
So if the desk is 11 inches SHORTER than the chair, and the height of the chair is 41 inches, all you need to do is subtract 11 from 41, which will give you a total of 30 inches.
Hope this helps!
