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romanna [79]
3 years ago
7

Write the equation for the inverse of y=4arccot(

Mathematics
1 answer:
garri49 [273]3 years ago
8 0
I think you meant "y = 4 arccot (x)."  

This is equivalent to:

 y
---- = arccot x
 4

and so cot (y/4) = x
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(3cosx-4sinx) + (3sinx+4cosx) = 5
Ksenya-84 [330]
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
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(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º      (360º-53.13º=306.87)

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x=sin⁻¹ 0.6=36.87º

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3 0
3 years ago
Where is the solution located on a graph a system of equations?
geniusboy [140]
For a system of two variables and two equations, each equation will be a linear graph, and where the lines intersect is the solution as an ordered pair (x,y). If the lines don’t intersect (they’re parallel) so there is no unique solution.
5 0
3 years ago
A mermaid is swimming at sea level when a human comes by. She dives underwater at a rate of 8 meters per second. She continues t
Kay [80]
She will be at 160 meters
4 0
3 years ago
I need help on this one
mel-nik [20]

Answer: 4/9

Step-by-step explanation:

apply product rule to 2/3 2^2  /   3^2

7 0
3 years ago
Find two consecutive even integers whose product is 288
Trava [24]
So I’m going to solve this using algebra OK?
So what you do is take the first integer as X.
Then we know that x(the first number) + X+2(the second number) is 288 right?
So we solve that saying x+x+2=288.
So 2X+2=288
2X+2-2=288-2 right?
So 2X=286.
So x is 286/2 right?
So x is 143.
Now the first number is 143 right?
So the second number should be 143+2 so 145.
I know they are not even but these are the solutions.
I don’t think there are any consecutive even numbers that add up to 288
6 0
3 years ago
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