Find the scale between sides xz and gh
18/4 = 4.5
Multiply the length of fh by the scale to find x
6 x 4.5 = 27
x = 27
Answer:
it is 56
Step-by-step explanation:
there are 4 sides and they are all 10 and if you add them they are 40 and if you do the bottom it is 16 and 40 + 16 is 56 hope it helps
8x+6=62
Subtract 6 from both sides
8x= 56
Divide both sides by 8
x=7
Final answer: The number is 7
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
Answer:
$1,000.
Step-by-step explanation:
$850 (rent) + $150 (other bills) = $1,000
