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Diano4ka-milaya [45]
3 years ago
10

If a leg is 8 cm, what is the length of the hypotenuse

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Answer:

I'm pretty sure 10.

Step-by-step explanation:

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-5t = -45 please help
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Answer:

t = 9

Step-by-step explanation:

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Read 2 more answers
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
If f (x) = mx+c, f(4) = 11 and f (5)=13 find value of m and c​
inysia [295]

m=2 and c=3

see the attachment for the detailed solution

8 0
2 years ago
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