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svetoff [14.1K]
3 years ago
9

Prove ||a+b|| ≤ ||a||+|b||​

Mathematics
1 answer:
ANTONII [103]3 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 are the solution(s) of 3x2 + 13x + 14 = 0? Select the two correct two answers.
Ede4ka [16]

Answer:

D,E

Step-by-step explanation:

6 0
3 years ago
What is the value of f(-6) ? f(x) = x^2 + 8
masya89 [10]

Answer:

\huge\boxed{44}

Step-by-step explanation:

f(x) = x^2 +8\\\\Put \ x = -6\\\\f(-6) = (-6)^2 + 8\\\\f(-6) = 36 + 8\\\\f(-6) = 44\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
4 0
3 years ago
Read 2 more answers
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
svet-max [94.6K]

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted

4 0
3 years ago
While on vacation in Mexico Jeremiah reads a distance marker that indicates he is 89 kilometers from Juarez. If 1 mile is approx
Sedbober [7]

Answer:

Distance  between Jeremiah and  Juarez is 55.3 miles

Step-by-step explanation:

We are given

1 mile is approximately 1.61 kilometers

so,

1.61 km =1 mile

we can divide both sides by 1.61

1km=\frac{1}{1.61}mile

now, to find for 89 km

we can multiply both sides by 89

89\times 1km=89\times\frac{1}{1.61}mile

now, we can simplify it

and we get

89 km =55.2795 mile

so, nearest tenth is

89 km =55.3 mile

So,

Distance  between Jeremiah and  Juarez is 55.3 miles


6 0
3 years ago
Which is the way to express 18+24 as the product of the gcf and another sum
nataly862011 [7]
Find gcf then add and you’ll find your answer
7 0
4 years ago
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