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Oduvanchick [21]

4 years ago

15

A dolphins heart beats 688 times in 6 minutes

2 answers:

Yuri [45]4 years ago

7 0

In one minute, the heart beats 114 2/3 times

Pepsi [2]4 years ago

6 0

That's 114 .7 beats per minute (rounded to nearest tenth)

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elena-14-01-66 [18.8K]

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Plz Answer This Mathematics Question??? NEED HELP ASAP

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Burka [1]

Answer: the statement “measure of <4 is 105 degrees” is incorrect.

Explanation: This is because since both angles 1 and 3 are vertical, this means they are both 95. This gives us 190 (95x2). Now we subtract this from 360 which gives us 170. Since angles 2 and 4 are vertical, we divide by 2, which gives us 85, not 105.

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3 years ago

Write the equation of the conic section below.

tangare [24]

Answer:

$(x-3)^2=8(y+1)$

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

$(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0$

$\textsf{Vertex}=(h, k)$

$\textsf{Focus}=(h,k+p)$

$\textsf{Directrix}:y=(k-p)$

$\textsf{Axis of symmetry}:h=k$

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

Vertex = (3, -1)
Directrix = y = -3

Therefore:

h = 3
k = -1
k - p = -3

Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

$\implies (x-3)^2=4\cdot 2(y-(-1))$

$\implies (x-3)^2=8(y+1)$

Rearranging in standard form $ax^2+bx+c$ :

$\implies (x-3)^2=8y+8$

$\implies x^2-6x+9-8=8y$

$\implies x^2-6x+1=8y$

$\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}$

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2 years ago