Answer:
10
Step-by-step explanation:
calculate the distance using the distance formula
d = √( x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (2, 6)
d = = = = 10
Answer:
69.45 m to the nearest hundredth.
Step-by-step explanation:
I guees you want the length of one side.
A square has 4 sides of equal length and the area = s^2 where s = length of each side.
So the length of a side of a square of area 4823
= √(4823)
= 69.4478 m.
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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Answer:
First three common multiples of 2 and 5 are 10, 20, 30.
Step-by-step explanation:
hope this helps
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Using the volume of the rectangular prism, it is found that the three dispensers will take 1,344 in³ in Sid's refrigerator.
<h3>What is the volume of a rectangular prism?
</h3>
The volume of a rectangular prism of length l, width w and height h is given by the multiplication of these three dimensions, that is:
V = lwh.
In this problem, there are three dispensers, each with l = 4 in, h = 14 in, w = 8 in, hence the volume is given by:
V = 3 x 4 x 14 x 8 = 1,344 in³.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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