Answer:
see explanation
Step-by-step explanation:
The value of the discriminant determines the nature of the roots
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then roots are not real
Here b² - 4ac = 4 > 0
Hence roots are real and distinct
The cube can be formed by the net, because all of the faces are equal
Answer:
1. 11.2
2. -1.4
3. 12
Step-by-step explanation:
The equation of the line that passes through the points A(8,0) and B(3,7) is

To find the y-intercept, plug into this equation x=0:

Two parallel lines have the same slope, so the equation of the line CD is

This line passes through the point D(5,5), thus

Hence, the equation of CD is

Use the quadratic formula -b +/-√(b^2-4(ac)) / 2a
In the given formula a = 7, b = 23 and c = -10
Replace the letters with their values:
-23 +/-√(23^2 -4*(7*-10)) / 2*7
Simplify to get:
x = -23 + √809 / 14 or x = -23 - √809 / 14
Answer:
Step-by-step explanation:
