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1 answer:
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Answer:
Domain: All real values (numbers)
Range: all real values that are less than or equal to 4.
Zeros: x=-2 and x=2 or if you want to write it in an ordered pair, it is (-2,0) and (2,0).
Vertex: (0,4)
Min/Max: 4. or if you want to write in an ordered pair (0,4). In this case, it is a maximum value.
Axis of symmetry: x=0
y-intercept: (0,4)
Step-by-step explanation:
I hope this helps!
Here is the full question:
Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.
Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.
Which equation correctly use the value of x to represents the cosine of angle A?
cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Answer:
cos(53°) = StartFraction y Over 5 EndFraction
Step-by-step explanation:
From the information above:
The sketch of the triangle is drawn and attached in the diagram below.
To find x using the sine rule,
We know that:
∴
Making x the subject of the formula:
Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.
Recall that:
where; x = 5
Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:
cos(53°) = StartFraction y Over 5 EndFraction
