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3 years ago

6

Add the following -5+(-7)+9+(-3) - 5+(-7)+9+(-3)=(Simplify your answer.)

1 answer:

IceJOKER [234]3 years ago

7 0

Answer:

-5+(-7)+9+(-3) = -6

Step-by-step explanation:

We need to add the following i.e.

-5+(-7)+9+(-3)

We know that, +(-) = - (minus)

So,

-5-7+9-3 = -12+6

= -6

So, the value of the given expression is equal to -6.

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andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

3 0

1 year ago

The diagram shows several points and lines.

Leya [2.2K]

Answer:

B and E 2020

Step-by-step explanation:

3 0

3 years ago

What is the slope of the line for (9,6) & (-2,17)

denis-greek [22]

The slope is negative one

7 0

2 years ago

Read 2 more answers

A basketball player's total points scored for the season went from 158 to 231 over a period of 5 games. What was his scoring rat

Len [333]

Answer:

14.6

Step-by-step explanation:

(231 - 158) / 5 = 14.6

6 0

3 years ago

Let a = -4.82 and b = 4.35. All of the following statements are true except

kolezko [41]

Answer:

the sum of -4.82 and 4.35 = -0.47

so a is correct

the product of -4.82 and 4.35 = -20.967

so b is incorrect

the quotient of -4.82 and -4.35 is 1.10804597701

the quotient of 4.82 and 4.35 is 1.10804597701

so c is correct

if we subtract 4.35 from -4.82 we get -9.17

so d is incorrect

Hope This Helps!!!

6 0

3 years ago