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3 years ago

0.18=..........- -18+-1.8

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

Answer:

-16.02

Step-by-step explanation:

I assume the "......" is a variable replacement. I will use x instead.

0.18 = x - - 18 + - 1.8

Negative + Negative = Positive

0.18 = x + 18 + - 1.8

Positive + Negative = Negative

0.18 = x + 18 - 1.8

Combine like terms

0.18 = x + 16.2

Subtract both sides by 16.2 to isolate the variable x

0.18 - 16.2 = x + 16.2 - 16.2

-16.02 = x + 0

-16.02 = x

Check your work:

Plug in -16.02 into the original equation

0.18 = -16.02 + 18 - 1.8

They should equal each other; let's check to make sure

0.18 = 1.98 - 1.8

0.18 = 0.18

They equal each other so our answer is correct

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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

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

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

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

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

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

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

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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)

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3 years ago

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Nana76 [90]

Answer:

$w = 5\pi$

Step-by-step explanation:

Not sure if it wants an integer as an answer but:

Step 1 - Move the negative 3π to the right.

$-3\pi + w = 2\pi \\w = 2\pi + 3\pi$

Step 2 - Simplify by adding together

$w = 5\pi$

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2 years ago

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0.18=..........- -18+-1.8​

0.18=..........- -18+-1.8