For sake of convenience, reverse the series, then it would be:
21,19,17.....7
a=21, d = -2,
s(4) = 4/2 (21+15)
s(4)=2(36)
s(4) = 72
Answer:
The midpoint of PR is;
(a + b, c)
Step-by-step explanation:
Here, we want to get the coordinates of the midpoint of PR
To get these, we make use of the midpoint formula
Mathematically, that will be;
(x,y) = (x1+y1)/2, (x2+y2)/2
(x1,y1) = (0,0)
(x2,y2) = (2a+2b, 2c)
The midpoint is thus;
(2a+2b)/2 , 2c/2
= (a + b, c )
Answer:
Well here's the issue...
Step-by-step explanation:
Since we have no idea what car you'll be using for the experiment, I can't tell you how many times you will have to fill er' up either. let's say you have a fuel efficient car like 27 mpg. that's highway and city combined. (34/25) And the trip is 216 miles round trip. And let's say you used 0 gallons while you were there. You would need to fill up exactly 8 times to get there and back. That's going off of 27 miles per gallon.
Hope this helps!!
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.
