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frosja888 [35]
3 years ago
12

Help ASAP!!!! Multiple choice answer

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

C. 9.24

Step-by-step explanation:

x is the height here, looking at the triangle.

To find x, however, we first have to find the hypotenuse. To formula for that is b (side we know)/cos(α) (angle we know). Substitute b for 6, and α for 57.

6/cos(57) would equal about 11.0647.

Now back to x. To figure that out, subtract 6² from 11.01647². Then, find the square root of that.

x = √11.01647² - 6²

x = √121.3626112609 - 36

x = √85.3626112609

x = 9.23918888544335

x ≈ 9.24, so C is the answer.

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Answer:

Slope of the line PQ is -63.434948.

Step-by-step explanation:

Given that,

The point P(8,-3) lies on the curve y=\frac{3}{7-x}.

If Q is the point lies on (x,\frac{3}{7-x} ).

To find:- Find the slope of line PQ.

So,  

The coordinates of point Q when it lies on (x,\frac{3}{7-x} )

        if x=1 then y= \frac{3}{7-1} =\frac{3}{6} =\frac{1}{2}

       So,   Q ≡ (1,\frac{1}{2} ) and many points can be calculated by given Equation.

Using the formula when two points (x_{1} ,y_{1} ) \& (x_{2}, y_{2}  ).

                Slope=Tan\theta = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Then, substituting the coordinates we get,

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             Slope = \frac{-14}{7}=-2

              tan\theta=-2   ⇒  \theta = tan^{-1} (-2)

               \theta= -63.434948

Therefore,

Slope of the line mPQ is -63.434948.

                     

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