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:
1
2
6
Step-by-step explanation:
1/2 +1/2 =1
length 1/2 ×4=2
wide 1/2 ×3 =1 1/2
height 1/2×3= 1 1/2
Answer:
4 x 4 is 12
3 x 2 is 6
12 plus 6 is 18
Answer is 18
Step-by-step explanation:
Answer:
probability that Caroline buy both CD and fruit = 0.52
Step-by-step explanation:
We have given that the probability of Caroline buys a fruit P = 0.4
So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6
Probability Caroline buys a CD P = 0.2
So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8
So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48
So probability that Caroline buy both CD and fruit =1-0.48 = 0.52
Formula of the midpoint:
x =(x₁+x₂)/2 and y = (y₁+y₂)/2
Plugin the respective value
for A(0,1/2) and B(0, 3/4)
x= (0+0)/2 = 0
y = (1/2 + 3/4)/2 = 5/8
Then the midpoint of the line segment whose endpoints are (0,1/2 ) and (0,3/4 ). is M(0, 5/8) or M(0, 0.625)
