Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
Answer:
B
Step-by-step explanation:
-|20| + |5| = -15
Steps:
Apply absolute rule: |a| = a, a >/ 0
|20| = 20
= -20+5
Apply absolute rule: |a| = a, a >/ 0
|5| = 5
= -20+5
Refine
= -15
Hope this helps you! (:
-Hamilton1757
Answer:
Step-by-step explanation:
The circular city park has a sidewalk directly through the middle that is 111 - feet long. This means that the diameter of the park is 111 feet.
The formula for determining the the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circular floor.
π is a constant whose value is 3.14
From the information given,
Diameter = 111 feet
Radius = diameter/2 = 111/2 = 55.5 feet.
Area of park = 3.14 × 55.5² = 9671.985 feet²
If each bag of fertilizer covers 50 square feet, then the number of bags needed is
9671.985/50 = 193.44 bags