Answer:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Step-by-step explanation:
y = a (x − x₁) (x − x₂)
Expand:
y = a (x² − x₁x − x₂x + x₁x₂)
y = a (x² − (x₁ + x₂)x + x₁x₂)
Distribute a to the first two terms:
y = a (x² − (x₁ + x₂)x) + ax₁x₂
Complete the square:
y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²
y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)
Therefore:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Answer:
Range: 12
Step-by-step explanation:
65, 66, 67, 68, 71, 73, 74, 77, 77, 77
Formula:
Range: highest value - lowest value = final answer
Range: 77 - 65 = 12
Answer:
4m
Step-by-step explanation:
m+m+m+m
There is an implied 1 in front of each term
1m+1m+1m+1m
Factor out the m
(1+1+1+1)m
4m
Answer: √
145 or 12.04159457 for the decimal ways try 12
Step-by-step explanation: 12.0415945787923
Midpoint (−2,−9.5)
Slope −0.0833333333333333
x intercept −116.00
y intercept −9.67
X = total miles run
4.6 + 0.78 + 3.4 = x
8.78 = x......so he ran a total of 8.78 miles
