What equation results from completing the square and then factoring? x2 + 10X = 15
1 answer:
Answer:
C) (x + 5)² = 40
Step-by-step explanation:
Given the quadratic equation, x² + 10x = 15:
To complete the square, take the coefficient of the middle term (b), and divide it by 2<em>a</em>:
x² + 10x + = 15 +
x² + 10x + = 15 +
x² + 10x + 5² = 15 + 5²
x² + 10x + 25 = 40
The trinomial on the left-hand side of the equation provides a perfect square binomial factors: <em>u</em>² + 2<em>uv</em> + v² = (<em>u</em> + <em>v</em>)²
x² + 10x + 25 = 40
(x + 5)² = 40
Therefore, the correct answer is Option C) (x + 5)² = 40
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The probability that Gina randomly selected two red marbles is 1/19
<u>Explanation:</u>
Total number of marbles = 7 + 5 + 8
= 20
The probability of getting two red marbles in the fraction form is given as:
P(first red marble) = number of red marbles / total number of marbles
P(first red marble) =
P(second red marble) = number of red marbles after 1 white marble is removed / total number of marbles after 1 red marble is removed.
P(first red marble) =
P(two red marbles) = P(first) X P(second)
=
=
Therefore, the probability that Gina randomly selected two red marbles is 1/19