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2 years ago

Assume n is an integer and solve for n.

1 answer:

5 0

|2n - 3| = 5 ⇔ 2n - 3 = -5 or 2n - 3 = 5 |add 3 to both sides

2n = -2 or 2n = 8 |divide both sides by 2

n = -1 or n = 4

Answer: c. {-1; 4}

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What is the value of x in the equation below? 1/3(12x-24)=16

Dvinal [7]

Answer:

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Step-by-step explanation:

Simplify —

Equation at the end of step 1 :

(— • (12x - 24)) - 16 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

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Step-by-step explanation:

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△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt

Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

$Hypotenuse=2\sqrt{17}$

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

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$68=x^2+x^2+12x+36$ $[\because (a+b)^2=a^2+2ab+b^2]$

Subtract 68 from both sides.

$0=2x^2+12x+36-68$

$0=2x^2+12x-32$

$0=2(x^2+6x-16)$

Divide both sides by 2.

$x^2+6x-16=0$

Splitting the middle term, we get

$x^2+8x-2x-16=0$

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$x=-8,2$

Side cannot be negative, so x=2 only.

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$AC=x+6$

$AC=2+6$

$AC=8$

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Murljashka [212]

Answer:

Step-by-step explanation:

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