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marissa [1.9K]
3 years ago
12

X2 +x − 4 = 0

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

  • a=1
  • b=1
  • c=-4
  • x =  (-1 ±√17)/2

Step-by-step explanation:

The coefficient of x^2 is "a". That is 1.

The coefficient of x is "b". That is 1.

The constant term is "c". That is -4.

The values of a, b, and c are 1, 1, and -4, respectively.

_____

The solution is ...

  x = (-b ±√(b^2-4ac))/(2a)

Filling in the values of a, b, and c, this is ...

  x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)

  x = (-1 ±√17)/2

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Solve for x. -3x + 6 = 2x - 24 A) -30 B) -6 C) 6 D) 30
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The answer is C) 30.

Explanation:

-3x + 6 = 2x -24

6 + 24 = 2x + 3x

30 = 5x

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Identify which of the following statement(s) is always true?
julia-pushkina [17]

Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

\sqrt{n}=\sqrt{25}=5

Since 5 is rational number, this statement is false.

<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

\sqrt{n}=\sqrt{8}=2\sqrt{2}

Since 2\sqrt{2} is irrational number, this statement is false.

<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

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At 3:00 PM a man 138 cm tall casts a shadow 149 cm long. At the same time, a tall building nearby casts a shadow 163 m long. How
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The building is 151 meters tall

<h3>How to determine the height of the building?</h3>

From the question, we have the following parameters about the building and the man

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Based on the above parameters, we have the following equivalent ratio:

Ratio = Height : Shadow

So, we have:

Man's height : Man's shadow = Building's height : Building's shadow

Substitute the known values in the above equation

138 cm : 149 cm = Building's height : 163 m

Remove the units

138 : 149 = Building's height : 163

Express as fraction

138 /149 = Building's height/163

Multiply both sides by 163

Building's height = 163 * 138 /149

Evaluate the product

Building's height = 151 m

Hence, the building is 151 meters tall

So, the complete parameters are:

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Building's height = 151 m

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