Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Answer:
Assuming one unit is one unit of measurement the answer would be nine
Step-by-step explanation:
Answer:
62.5%
Step-by-step explanation:
To find percentage of win, we simply need to find the number of games won and divide it by the total number of games played. Then we will multiply that answer by 100 (to get percentage).
So,
Number of games won = 15
Total number of games = 15 + 9 = 24
Percentage of Win =
Answer is 62.5%
Answer:
A) 7
Step-by-step explanation:
Because the triangles are congruent to each other, then their corresponding angles are also congruent to each other. Thus, angles Z and V are congruent to each other:
Therefore, your answer is A.