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Anton [14]
3 years ago
11

prove that there are real numbers a and b such that square root of a + square root of b equals square root of a + b

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer:

Lets firts mention that the rule presented in the question does not apply for all real numbers

But, we can see that in some cases it might be true.

Let

a = 1

b = 0

√1 + √0  = 1 + 0 = 1

Likewise,

√(1 + 0)  =  √(1) = 1

And we see that the result is the same.

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What is the smallest fraction out of 1/3, 1/6 and 2/9
Nastasia [14]
2/9 is the smallest because the denominator is the smaller meaning there are more places so in perspective its smallest
5 0
3 years ago
One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. F
RSB [31]

Answer:

A has 263 calories

B has 257 calories

Step-by-step explanation:

system of equations:

a + 2b = 777

2a + b = 783

I multiplied the first equation by -2 to eliminate the 'a' terms

  -2a - 4b = -1554

+ <u> 2a  + b =    783</u>

         -3b = -771

b = 257

solve for 'a'

a + 2(257) = 777

a + 514 = 777

a = 263

4 0
3 years ago
A ball is 4 feet above the ground when Tyrese throws it into the air. Use the quadratic equation 0=−t2+3t+4 to find how much tim
kompoz [17]

Answer:

Step-by-step explanation:

This quadratic models the parabolic motion equation

h=-at^2+v_{i}t+h_{i}

where h is the height of the object after the motion occurs, a is the pull of gravity, v(i) is the initial vertical velocity of the object, and h(i) is the height from which the object was initially launched.  If we are looking for when the ball hits the ground, h = 0, because the height of an object on the ground has no height at all (or 0 height).  To find the time the object was in the air, factor the quadratic and solve for the values of t.

Two factors of 4 that add up to be 3 and multiply to be 4 are -1 and 4.  So t=-1 and t = 4.  Since we know that time can never be negative, then t = 4 seconds.

4 0
3 years ago
Read 2 more answers
Mila and Jessica work at the Macy’s shoe department. Mila’s weekly salary is $300 plus $5.00 for each shoe that she sells. Jessi
natali 33 [55]

Answer:

60 dollars Mila }{ Jessica   i dont know the last one

Step-by-step explanation:

8 0
3 years ago
The sum of Sasha’s and Natalie’s ages is 31. Twice Natalie’s age is 11 years more than Sasha’s age. Find each of their ages
ZanzabumX [31]

Answer:

Natalie's age is 14

Sasha's age is 17

Step-by-step explanation:

Let

Sasha's age be "s", and

Natalie's age be "n"

<u>Sum of Sasha and Natalie is 31:</u>

s + n = 31

<u>Twice Natalie is 11 more than Sasha:</u>

2n = s + 11

We ca solve this equation for s first:

s = 2n - 11

We put this into first equation and solve for n first:

s + n = 31

2n - 11 + n = 31

3n = 31 + 11

3n = 42

n = 42/3 = 14

Natalie's age is 14

Also, s = 2n - 11

s = 2(14) - 11

s = 28 - 11

s = 17

Sasha's age is 17

6 0
3 years ago
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