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leva [86]
3 years ago
11

What is the length of the hypotenuse? 12 5 X= Help

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0

Answer:

13

Step-by-step explanation:

\sqrt{5^{2}   + 12^{2}} =  \sqrt{169}  \\  \\  \sqrt{169}  = 13

a²+b²=c²

Temka [501]3 years ago
3 0

Answer:

x = 13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = x^2

25+144 = x^2

169 = x^2

Taking the square root of each side

sqrt(169) = sqrt(x^2)

13 =x

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3 years ago
Find the vertex, focus, directrix, and focal width of the parabola: -1/40x^2=y
dimulka [17.4K]
For
(x-h)^2=4p(y-k)
vertex is (h,k)
distance from vertex to directix=p=distance from vertex to focus
|4p|=focal width

remember, focus is on the side of the parabola where it opens and directix is at the back
when p is negative, it opens down
when p is positive, it opens up

look at equation
-1/40(x-0)^2=(y-0)
times -40 to both sides
(x-0)^2=-40(y-0)
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focus is 10 units below vertex (y direction)
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directix is y=10

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vertex=(0,0)
focus=(0,-10)
directix is y=10
focal width=40 units
3 0
4 years ago
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