Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ±
) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
Answer:
30.0% decrease.
Step-by-step explanation:
A diamond ring was reduced from $999.99 to $699.99
The decrease is; $999.99 - $699.99 = $300.00
Percentage decrease =
× 100
i.e percentage decrease =
× 100 = 30.0003%
And it equals to 30.0% (rounded off to the nearest tenth of a percent)
Answer:
5+x=y
Step-by-step explanation:
If she has already knit 5 cm you will always have to factor that in. If x is the number of nights adding the number of nights she does 1 cm of knitting will give you the length she has knit so far (y). I hope this helped! Good luck
Shift 5 in along the positive g(x) axis due to the + 5
<span>Since the paddock assumes a rectangular shape the area is 1/2 * b * h.
From Pythagorean AB^2 = BC^2 + AC^2
(3)^2 = (x + 0.4)^2 + x^2
9 = x^2 + 0.8x + 0.16 + x^2
So 2x^2 + 0.8x + 0.16 - 9 = 0
2x^2 +0.8x- 8.84 = 0
Using the quadratic formula
The solutions are 1.911 and -2.31
The area therefore is
area=1/2 * b * h
=1.91*2.31/2 = 2.21km²
1hectare = 0.01km²
2.21km^2 = 221ha</span>