A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]
B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)
<h3>A. How to determine the mid point</h3>
- Coordinate of C = (4, 5)
- Coordinate of D = (p, q)
- Mid point =?
Mid point = (X , Y)
X = (x₁ + x₂) / 2
X = (4 + p) / 2
Y = (y₁ + y₂) / 2
Y = (5 + q) / 2
Thus,
Mid point = (X , Y)
Mid point = [(4 + p) / 2 , (5 + q) / 2]
<h3>B. How to determine the coordinates of D</h3>
- Mid point = (7, 1)
- Coordinates of D =?
Mid point = (7, 1) = (X , Y)
X = (4 + p) / 2
7 = (4 + p) / 2
Cross multiply
7 × 2 = 4 + p
14 = 4 + p
Collect like terms
p = 14 - 4
p = 10
Y = (5 + q) / 2
1 = (5 + q) / 2
Cross multiply
1 × 2 = 5 + q
2 = 5 + q
Collect like terms
q = 2 - 5
q = -3
Coordinates of D = (p, q)
Coordinates of D = (10 , -3)
Learn more about coordinate geometry:
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Answer:
Uh yeah Its right...i think
Just make sure if its right
Answer:
The function is 
domain is 0 to 0.2 hour.
range is 0 to 2 miles.
Step-by-step explanation:
Given that,
Average velocity = 10 miles/hour
Time = 12 min = 0.2 hour
We need to write a function that models the student's distance from home
Using formula of distance
Where, v = velocity
t = time
d = distance
Put the value into the formula
This is a function.
We know that,
Domain :
Domain shows the time.
So, domain = 0 to 0.2 hour
Range :
Range shows the distance.
The range at t =0,
Put the value of t in the function
The range at t =0.2 hour
So. range = 0 to 2 miles
Hence, The function is
domain is 0 to 0.2 hour
range is 0 to 2 miles
Answer:it will take 5 months for the cumulative costs of the plans to be equal and the total cos is $200
Step-by-step explanation:
Let x represent the number of months that for which the cumulative costs of the plans will be equal.
Let y represent the total cost of using plan A for x months.
Let z represent the total cost of using plan B for x months.
He can either pay a $150 joining fee and a $10 monthly fee. This means that the total cost of using plan A would be
y = 150 + 10x
For plan B, he can pay a $50 joining fee and a $30 monthly fee. This means that the total cost of using plan B would be
y = 50 + 30x
To determine the number of hours for which the cumulative costs of the plans will be equal, we would equate y to z. It becomes
150 + 10x = 50 + 30x
30x - 10x = 150 - 50
20x = 100
x = 100/20 = 5 months
The total cost would be
150 + 10 × 5 = 150 + 50 = $200
