Solve for x. Round your answer to two decimal places. Show your work for full credit. (3 points) A right triangle is shown with the hypotenuse labeled x. One angle has a measure of thirty nine degrees, and the opposite leg has a length of nine.

Step-by-step explanation:

Given:

Right ∆ with,

Hypotenuse = x

Opposite = 9

Reference angle = 39°.

Required:

The value of x

Solution:

Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:

Plug in the values into the equation

Multiply both sides by x

Divide both sides by sin(39)

(to 2 decimal places)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

i believe that the answer is

b. y-1=-2(x-4)

hope this !