Answer:
12 boys
Step-by-step explanation:
Use the ratio
7(3)= 21
4(3)= 12
Answer:
a. 7x/3x-3
Step-by-step explanation:
Answer:
No.
standard deviation kind of works like absolute value. think of it that way. absolute value is just distance from zero and standard deviation is just distance from the mean.
Answer:
Step-by-step explanation:
1/3(x+6)=12
x+6=12/(1/3)
x+6=(12/1)(3/1)
x+6=36/1
x+6=36
x=36-6
x=30
Answer: 30
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12(x+1/6)=8
x+1/6=8/12
x=8/12-1/6
x=8/12-2/12
x=6/12
simplify
x=1/2
Answer: 1/2
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-3(x+2)=-18
x+2=-18/-3
x+2=6
x=6-2
x=4
Answer: 4
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-3(x-2)=21
x-2=21/-3
x-2=-7
x=-7+2
x=-5
Answer: -5
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-5(4-x)=-40
4-x=-40/-5
4-x=8
x=4-8
x=-4
Answer: -4
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1/4(6-x)=1/4
6-x=(1/4)/(1/4)
6-x=1
x=6-1
x=5
Answer: 5
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:
brainly.com/question/4976351
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