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:
1)=> x=22
2)=> x=16
Step-by-step explanation:
....,....................
Answer:
533.3%
Step-by-step explanation:
simplify the fraction to 16/3 (3x5+1=16) then you multiply the fraction by 100
which is 533.3 or 533 1/3 %
Answer:
d> 5.5
The graph in the attached figure
Step-by-step explanation:
we have
Solve the inequality for d
That means ---> isolate the variable d
Subtract 34 both sides
Divide by 12 both sides
The solution is the interval (5.5,∞)
All real numbers greater than 5.5
In a number line the solution is the shaded area at right of d=5.5 (open circle)
The value of d=5.5 is not included in the solution
The graph in the attached figure
One pound of the item will cost 4.74 bill
Step-by-step explanation:
In this problem, we are told that Delia bought 4.5 pounds of fruit
and paid with a toa total bill of 20+5= 25 bill
and also she received a change of 3.67
this means that the item she bought cost 25-3.67= 21.33bill
now if 4.5 pounds of items cost 21.33 bill
then 1 pound will cost Xbill
cross multiply and solve for Xbill
X= 21.33/4.5
X= 4.74 bill
One pound of the item will cost 4.74 bill
