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3 years ago

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other

Mathematics

2 answers:

kompoz [17]3 years ago

5 0

Answer:

Step-by-step explanation:

#CARRYONLEARNING

vodomira [7]3 years ago

4 0

3514 1404 393

Answer:

(d) 8 cm and 9 cm

Step-by-step explanation:

The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...

8 cm and 9 cm

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Airida [17]

Answer:

3. 20/20

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notka56 [123]

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2 years ago

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3 years ago

Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

CaHeK987 [17]

<u>Answer:</u>

$y=-\frac{1}{16} x^2$

<u>Step-by-step explanation:</u>

Equation of parabola with focus at (0,-4) and directrix is $y=4$ .

We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.

The parabola is opening downwards.

Let any point on parabola is (x,y).

Distance from focus(0,-4) to (x,y) = $\sqrt{(x-0)^2+(y-(-4))^2}=|y-4|$

$\sqrt{(x-0)^2+(y-+4)^2}=|y-4|$

$(x-0)^2+(y+4)^2=(y-4)^2$

$(x)^2+(y+4)^2=(y-4)^2$

$x^2+(y^2+4y+4y+16)=y^2-4y-4y+16$

$x^2+y^2+8y+16=y^2-8y+16$

$x^2+16y^2=0$

$16y=-x^2$

$y=-\frac{1}{16} x^2$

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2 years ago