The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
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Two, 2 and 7, because 3/11 just equals 0.2727272727..., so the two and seven keep repeating
Complete question :
At camp in Green Bay, Wisconsin, 7/9 of the participants were from Wisconsin. Of that group 3/5 were 12 years old. What fraction of the group was from Wisconsin and 12 years old?
Answer:
7/ 15
Step-by-step explanation:
Fraction from Wisconsin = 7/9
Fraction who are 12 years old = 3/5
Fraction who are from Wisconsin and 12 years old
(Fraction from Wisconsin * Fraction who are 12 years old)
(7 / 9 * 3/ 5)
= (7 * 3) / (9 * 5)
= 21 / 45
= 7 / 15
Answer:
Astronomers directly use geometry in their work rather than accountants , judges, pharmacist and politicians.
They used geometry to measure velocity , direction, distance, relativity, momentum, and probability. They used it to look at objects in the sky with a telescope by setting a required angle to get a proper view .
But Accountants, judges, pharmacist and politicians are not in use of geometry directly or frequently.
Hence, Option 'B' is correct.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A = 8 cm
B = 5 cm
C = 22 - 8 - 5 = 9 cm
Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.
8^2 + 5^2 = 9^2
64 + 25 = 81
89 = 81
89 does not equal 81, so this is not a right triangle.