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ikadub [295]
3 years ago
15

The vertex of this parabola is at (-2,5) which of the following could be its equation (apex)

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

Option D. y=3(x+2)^{2}+5

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

If a> 0 then the parabola open up and the vertex is a minimum

If a< 0 then the parabola open down and the vertex is a maximum

In this problem the vertex is the point (-2,5)

so

the equation must be equal to

y=a(x+2)^{2}+5 and the value of a is positive

therefore

the answer is the option D

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a ship leave port p and sails on a bearing N50 degree E to Port Q 15km away.then it sails on a bearing of S45 degree E to Port R
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Answer:

Port r is 100° from Port p and 26km from Port p

Step-by-step explanation:

Lets note the dimension.

From p to q = 15 km = a

From q to r = 20 km= b

Angle at q = 50° + 45°

Angle at q = 95°

Ley the unknown distance be x

Distance from p to r is the unknown.

The formula to be applied is

X²= a²+ b² - 2abcosx

X²= 15² + 20² - 2(15)(20)cos95

X²= 225+400-(-52.29)

X²= 677.29

X= 26.02

X is approximately 26 km

To know it's direction from p

20/sin p = 26/sin 95

Sin p= 20/26 * sin 95

Sin p = 0.7663

P= 50°

So port r is (50+50)° from Port p

And 26 km far from p

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