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svetoff [14.1K]
2 years ago
9

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||

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What is the scale factor from polygon A to polygon B?
Arada [10]
You must divide the larger by the smaller... That will give you the scale factor.

For example: Rectangles 10 x 20 and 5 x 10

the scale factor us 10/5 = 20/10 = 2

Hope this helps.
4 0
2 years ago
jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0
3 years ago
Please help ASAP!
Lana71 [14]
1)x+1) has positive slope, it is only A or B
2) For f(x)=4 we have x≥1, so this graph should begin with black dot.
3)So answer is B
Blue dot should be empty.
Orange dot should be black.

8 0
3 years ago
6x(0,5x+3)+3x(1-x)-(1-10x)=7
Eddi Din [679]

Answer:

answer<em> </em><em>is</em><em> </em>

Step-by-step explanation:

ok ok ok ok ok ok ok ok ok ok ok ok

7 0
3 years ago
Write an equation of a line that has a slope of -1/2 in each form
konstantin123 [22]

Answer:

y=-1/2x+17

Step-by-step explanation:

y=-1/2x+17

4 0
3 years ago
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