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:
(x, y - 6)
Step-by-step explanation:
If the two rectangles are similar, their sides must be proportional. We can figure this out by setting up a proportion. We need to make sure to match up the correct sides though. We know the two longer sides must match up, so 6 goes with 60, and 3 goes with 30:
3/6=30/60
If we reduce the fractions, we get:
1/2=1/2
Therefore, the rectangles are similar. One of them is just rotated.
Answer:
Step-by-step explanation:
multiply each coordinate by 2.5
new vertices are (15,10),(5,10),(15,-5) and (5,-5) respectively.
Answer:
Step-by-step explanation:
Given
4
The 4 can be placed inside the radical by squaring it, that is
4
= 
= 
=
