You can draw vertical line, and get 2 rectangles.
1) First one with sides 2 and 7.
2) Second one with sides 1 and (5-2) = 3, 1 and 3.
3) Area of the first one =2*7=14 units²
4)Area of the second one = 1*3=3 units²
5) Area of the whole polygon = 14+3=17 units²
Answer C. 17units².
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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speed is 45 miles per hour. 135/45=3, so the answer is 3hours (A)
Answer:
Step-by-step explanation: