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:
C . Yes, because aspirin is known to reduce heart attacks.
Step-by-step explanation:
A research examined so he find that aspirin reduce the heart attack .A chi-square test on the data collected in a randomized experiment.
The answer to this question is D.
<span>To start, this has a value in the hundreds position: 200. This would be translated into "n * 10^2" in standard notation. We also see that we're working with more than 2 * 100 in this case, so the value that gives an "n" between 1 and 10 to set as a multiplier is 2.5. This gives "2.5 * 10^2" as a proper form.</span>
I say symmetric. Both variables are the same, and the equation is showing their equality. This is my best guess.
Hope this helps!
