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SIZIF [17.4K]
3 years ago
6

How do you find the hypotenuse of a right triangle when you have 2 angles (1 being the 90 degrees since it is a right triangle)

and the length of 1 of the sides
Mathematics
1 answer:
stiks02 [169]3 years ago
8 0
Find the length of the hypotenuse by using either "sine" or "cosine". 

Sine= Length of opposite side/ Hypotenuse

Cosine= Length of adjacent side/ Hypotenuse

In order to use one of these, it depends on which angle they give you other than 90 degrees. 

Hope this helps!
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The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function
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Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

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That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

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We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

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