Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
Answer:
Option D.
Step-by-step explanation:
Convert each to a decimal.
pie + 8 = 11.14
5 and the square root of 20 = 22.36
10/ the square root of 3 = 5.77
Now put them in order from least to greatest.
10/ the square root of 3, pie + 8, 5 and the square root of 20.
Option D is your answer!
Answer:
Q=(2,-1)
Step-by-step explanation:
We are given point as N=(-1,2)
Point Q is symmetric to point N with respect to line y=x
we know that any point symmetric with respect to line y=x means inverse of that point
For example: If we have to find symmetric about y=x line of point (a,b)
a changes to b
and b changes to a
so, symmetric of (a,b) with respect to y=x line would be (b,a)
We have point N(-1,2)
-1------>2
2----->-1
so, we get point as
Q=(2,-1)
The answer is 1,163, my friend!
Step-by-step explanation:
angle 2 and angle 7 are alternate exterior angles and are equal.
all angles are 75