All categories

2 years ago

Prove ||a+b|| ≤ ||a||+|b||

Mathematics

1 answer:

ANTONII [103]2 years ago

4 0

Step-by-step explanation:

|a+b|=✓(a²+b²)

|a|+|b|=a+b

||a+b|| ≤ ||a||+|b||

You might be interested in

Hey umm how do you make your stressed mom feel better?

Dafna11 [192]

Answer:

Help her around the house.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Maurinko [17]

Answer:

616 square centimeters

Step-by-step explanation:

Area of a circle is equal to pi × r^2. In this case, they have asked that you substitute 3.14 or 22/7 for pi, so I will be using 22/7, instead.

Diameter is equal to 2r; to find the radius, simply divide 28 by two. This gives us a radius of 14.

Multiply 14 squared by 22/7:

(22/7)(14^2)

This gives us (22/7)(196); (4312/7); 616.

Therefore, the area of the circle is approximately 616 square centimeters.

8 0

2 years ago

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

Solve for n. n 2–1 < 3

Schach [20]

N 2-1 < 3

n is equal to :

2-1 = 1 so n would have to be 1 in order to be less than 3

5 0

2 years ago

Read 2 more answers

Garden hose emits 9 quarts of water in 6 seconds how long will it take the hose to emit 12 quarts?

Vlada [557]

Answer:

Step-by-step explanation:

ummmmmmmmmmmmmmm

5 0

2 years ago

Read 2 more answers

Prove ||a+b|| ≤ ||a||+|b||​

Prove ||a+b|| ≤ ||a||+|b||