Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
centimeters, and the length of A C is 6.9 centimeters.
Which expressions can be used to find m∠BAC? Select three options.
cos−1(StartFraction 6.9 Over 12 EndFraction)
cos−1(StartFraction 9.8 Over 12 EndFraction)
sin−1(StartFraction 6.9 Over 12 EndFraction)
sin−1(StartFraction 9.8 Over 12 EndFraction)
tan−1(StartFraction 6.9 Over 9.8 EndFraction)
Which expressions can be used to find m∠BAC? Select three options.
cos−1(StartFraction 6.9 Over 12 EndFraction)
cos−1(StartFraction 9.8 Over 12 EndFraction)
sin−1(StartFraction 6.9 Over 12 EndFraction)
sin−1(StartFraction 9.8 Over 12 EndFraction)
tan−1(StartFraction 6.9 Over 9.8 EndFraction)
2 answers:
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The value of x is –7.
Solution:
Given expression:
Let us factor .
Substitute this in the fraction.
To make the denominator same, multiply and divide the first term by (x +1).
Denominators are same, you can add the fractions.
Cancel the common term in the numerator and denominator.
Multiply the fractions.
The expression is simplified to one rational expression.
Suppose the expression is equal to 0.
Do cross multiplication.
Any number or variable multiplied by 0 gives 0.
Subtract 7 from both sides of the equation.
x = –7
The value of x is –7.