9514 1404 393
Answer:
(-3, 9), (-1, 11), (0, 12), (4, 16), (6, 18)
Step-by-step explanation:
The function definition tells you that adding 12 to the x-value will give you the value of f(x).
-3 +12 = 9, for example
The (x, f(x)) values for the table are shown above.
Answer:
A congruence statement says that two polygons are congruent.
Step-by-step explanation:
To write a congruence statement, list the corresponding vertices in the same order.
Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.
The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).
A function is only possible when any given input leads to <u>exactly one</u> output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.
In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.
Answer:
Step-by-step explanation:
<u>Trigonometric Identities</u>
<u>Trigonometric ratios</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Using the trig ratio formulas for cosine and sine:
Therefore, using the trig identities and ratios:
So this is considered a "special triangle." The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.
Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:
17 × 2 = 34
Next, to find the long leg, or x in this case, multiply the short leg by √3:
17 × √3 = 17√3
<u>In short, x = 17√3 and y = 34. The correct option is the last option.</u>
