Answer:
2 real solutions
Step-by-step explanation:
To determine the nature of the solutions use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real solutions
• If b² - 4ac = 0 the 2 real and equal solutions
• If b² - 4ac < 0 then no real solutions
Given
x² + 9x + 20 = 0 ← in standard form
with a = 1, b = 9, c = 20, then
b² - 4ac
= 9² - (4 × 1 × 20 ) = 81 - 80 = 1
Since b² - 4ac > 0 then there are 2 real solutions
Answer:
C = 12π cm
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Geometry</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Radius <em>r</em> = 6 cm
<u>Step 2: Find </u><em><u>C</u></em>
- Substitute: C = 2π(6)
- Multiply: C = 12π
You would set this up as Part÷Whole=Percent÷100
Part=117
Whole= X
Percent=78
117÷X=78÷100
Set these up as fractions and cross multiply. You will get 117×100=78X
117×100=11,700
Divide both sides by 78 and you get x=150
There were 150 problems
Answer:
No solutions.
Step-by-step explanation:
No solutions because these two lines are parallel.
You can tell by the slopes. Both slopes are equal -3.
The -2 and 
vertically shift the lines.
Answer:
Step-by-step explanation:
Combine like terms.
Factor out 
from the expression.
