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Answer:
X=6 and Y=3
Step-by-step explanation:
Use SOHCAHTOA, SOH, Sin=Opposite/Hypotenuse, Therefore Sin60°=(3√3)/x ; Xsin60°=3√3 and Sin60° without using 4figuretable or calculator is √3/2, Now x=3√3 ÷√3/2 ;. therefore X=3√3×2/√3= 6. X=6 . Using Pythagoras theorem, 6²={(3√3)² +y²}. Y²= 36-27=9. Y=√9, Y=3. Therefore X=6 and Y=3.
<u>Given</u>:
Let the two numbers be x and y.
Two numbers multiply to be -7 and add to be -6.
This can be written in equation as,
and
<u>Value of the two numbers:</u>
Let us determine the value of the two numbers using substitution method.
Substituting in the equation
, we get;
Simplifying, we get;
Thus, the values of x are x = 1,-7
When x = 1 , the equation becomes
When x = -7, the equation becomes
Therefore, the two numbers are 1 and -7