Slopes of perpendicular lines are opposite reciprocals of each other. The slope of the given equation (which is in slope-intercept form) is 1, the invisible coefficient of x. The opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.

Hope this helps.

8 0

4 years ago

how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of ea

Triss [41]

My room is made up of four walls, both the floor and the ceiling are rectangular in shape.

There are four walls in my room.
The shape of the floor is a rectangle and given that the ceiling is the same form above the floor, it is also shaped as a rectangle.

To get the area of a rectangle, you use this formula since my floor and ceiling are rectangle.

Area = L * W

where

L = length

W= width

But if you have a square floor and ceiling, the area of a square is

Area = s²

given that it is side * side.

In conclusion, there are 4 walls in every room. The shape of the ceiling or floor could be a rectangle or a square. It depends on your room and its measurements. To get the area, multiply the length by the width.

7 0

3 years ago

Suppose the same quantity is measured but with a more precise method giving an average and standard deviation of 15.0 ± 2.5. how

abruzzese [7]

To solve this, we use the z test.

The formula:

z = (x – u) / s

where x is sample value = 20, u is the mean = 15, and s is the standard deviation = 2.5

z = (20 – 15) / 2.5

z = 2

Since we are looking for values greater than 20, this is right tailed test. We use the standard distribution tables to find for P.

P = 0.0228

Therefore:

number of students = 100 * 0.0228 = 2.28

2 to 3 students will get greater than 20 measurement

7 0

3 years ago