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3 years ago

9

You are planning a 500 mile trip and your car averages 20 miles per gallon.

1 answer:

Anna007 [38]3 years ago

6 0

The answer is option E. 25 gal.

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Shortest distance to the origin y=1/2x^2 -4

IrinaK [193]

X=0 y=-2
y=0 x=4

The shortest distance has to be the perp bisector from origin to the midpoint of the line.
midpoint =(2,-1) and distance from the (0,0) origin is sqrt(5) hence, sqrt(5).

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3 years ago

PLEASE HELP 30 PTS!!

Troyanec [42]

I hope this helps you

7 0

4 years ago

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HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

8 0

3 years ago

Read 2 more answers

I need help on 10 13 16

Zepler [3.9K]

$10.\\1ft=0.3048m\to1m=\dfrac{10000}{3048}ft\approx3.281ft\\\\therefore\ 14m\approx14\cdot3.28ft1=45.93ft$

$13.\\1mi=1.609km\to1km=\dfrac{1000}{1609}mi\approx0.621mi\\\\therefore\ 0.3km\approx0.3\cdot0.621mi=0.186mi$

$1in=2.54cm\to1cm=\dfrac{100}{254}in\approx0.394in\\\\therefore\ 15cm\approx15\cdot0.394in=5.91in$

3 0

3 years ago

7t+2r-3t+r what is the answer

Troyanec [42]

This simplifies to 4t+3r

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3 years ago

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