Answer:
A. 5.8
Step-by-step explanation:
From the given graph d has two coordinates;
the first coordinates of d = (0, 0)
the second coordinate of d = (-3 , -5), that is x = -3 when traced up and y = -5 when traced horizontal
The distance between the two coordinates = distance of d;
Option A is correct
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:
choice 1
Step-by-step explanation:
Given
V = πr²h ( isolate r² by dividing both sides by πh )
= r² ( take the square root of both sides )
= r ← the positive value of r
