<img src="https://tex.z-dn.net/?f=3%201%2F3%20times%204%202%2F5" id="TexFormula1" title="3 1/3 times 4 2/5" alt="3 1/3 times 4 2

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2 years ago

11

/5" align="absmiddle" class="latex-formula">

2 answers:

Veronika [31]2 years ago

6 0

Answer:

86.8 or 434/5

Step-by-step explanation:

31/3 *42/5

divide common factors

31/1 *14/5

multiply numerators and the denominator

31*14/1*5

434/5 or 868

frutty [35]2 years ago

4 0

Answer:

86.8 what form do u want this answer?

Step-by-step explanation:

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3 years ago

Select the correct answer from each drop-down menu. A parabola is given by the equation y = x2 − 2x − 3. The directrix of the pa

choli [55]

Answer:

Part 1) The directrix of the parabola is y=-4.25

Part 2) The focus of the parabola is F(1,-3.75)

Step-by-step explanation:

we have

$y=x^{2}-2x-3$

This is a vertical parabola open upward

we know that

If a parabola has a vertical axis, the standard form of the equation of the parabola is

$(x - h)^{2}=4p(y - k)$

where

p≠ 0

The vertex of this parabola is at (h, k).

The focus is at (h, k + p).

The directrix is the line y = k - p.

The axis is the line x = h.

step 1

Convert the equation of the parabola in standard form

$y=x^{2}-2x-3$

$y+3=x^{2}-2x$

$y+3+1=x^{2}-2x+1$

$y+4=x^{2}-2x+1$

$y+4=(x-1)^{2}$

so

$(x-1)^{2}=(y+4)$ ----> equation in standard form

The vertex is the point (1,-4)

4p=1 ------> p=1/4

step 2

Find the directrix of the parabola

The directrix is the line y = k - p

we have

k=-4

p=1/4

substitute the values

y = k - p

y=-4-(1/4)=-17/4

y=-4.25

step 3

Find the focus of the parabola

we know that

The focus is at (h, k + p).

we have

h=1

k=-4

p=1/4

substitute

F(1,-4+1/4)

F(1,-3.75)

4 0

3 years ago