I think the first box is perpendicular good luck
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28
<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
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<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
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<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
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<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
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So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
Answer:
n= 4
Step-by-step explanation:
3 multiplied by n is 3n.
3 multiplied by -5 is -15.
so 3n-15= 7-2(n+1)
7-2(n+1) is -2 multiplied by n is -2n and -2 multiplied by 1 is -2.
3n-15=7-2n-2
then move the variables to one side and numbers to the one side.
3n+2n=15+7-2
*If you are moving across the equation the symbols change. Like negative to positive. Division to multiplication.
so 5n=22-2
5n=20
5 multiplied by 4 is 20 so n is going to be 4.
N=4
If y=8-x then you can plug that into the equation like 7=2-(8-x). When you distribute the equation becomes 7=2-8+x. Once you combine like terms the equation becomes 7=-6+x. Then you subtract 6 from both sides, which gives you 13=x.
To find y just put 13 where x was in the first equation. Y=8-13.
Y=-5
X=13
You can do 280/40 would give you the answer for one minute, then whatever you get, multiply be 280, that is your answer for number 14.so it would be for every one minute you ride 7 miles. so it would be 7 miles times 20 minutes because you are calculating for an hour and we already have 40 minutes, it would give you 140 miles for 20 minutes, then you add 140 +280 which would give you your answer which is 420m/hr. if you read it step by step you would be able to understand.<span />
