Answer:
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Step-by-step explanation:
Answer:
A) 14
Step-by-step explanation:
BC is congruent to DC in saying this you can plug the equations to each other and solve for y and then put its back into the equation for BC to get the length.
3y+5=5y-1
subtract 3y from both sides --> 5=2y-1
add 1 to both sides --> 6=2y
now get y alone, divide by 2 by both side --> y=3
plug y in back to 5y-1 --> 5x3-1
15-1
BC = 14
Second one. The points should be at (-4,5) and the slope should be 3/2
The distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.
<h3>What is the distance between the points (23,-33) and (4,9)?</h3>
The distance between two points on a graph can be determined using the equation;
D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]
Given that;
- x₁ = 23
- x₂ = 4
- y₁ = -33
- y₂ = 9
We substitute our values into the equation above.
D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]
D = √[ ( 4 - 23 )² + ( 9 - (-33) )² ]
D = √[ ( -19 )² + ( 42 )² ]
D = √[ 361 + 1764 ]
D = √[ 2125 ]
D = 46.10
Therefore, the distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.
Learn more about distance formula here: brainly.com/question/7592016
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Answer:
See below for answers and explanations
Step-by-step explanation:
1) Substitute d=100 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(100))
s=sqrt(981)
s≈31.32
Therefore, the speed of the wave will be about 31.3 m/s
2) Substitute d=1000 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(1000))
s=sqrt(9810)
s≈99.05
Therefore, the speed of the wave will be about 99 m/s
