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3 years ago

How to rewrite x2+y2-4x+12y-20

2 answers:

7 0

You could add the common variables together, to get -2x+14y-20, I'm not sure of any other ways to answer this, I'm sorry. I hope this helps tho

Westkost [7]3 years ago

5 0

Assuming you are trying to find what kind of figure this represents, also that this = 0,

x^2 -4x + y^2 +12y =20
Completing the square for both x and y,
x^2 -4x +4 + y^2 +12y +36=20 + 4 + 36 = 60
(x-2)^2 + (y+6)^2 = 60
is a circle with center at (-2,6) with a radius of the square root of 60 or 2SQRT(15)

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Bobby and Rick are in a 16-lap race on a one-mile oval track. Bobby, averaging 94 mph, has completed six laps just as Rick i

Reptile [31]

Answer: Hello!

first let's note the things we already know:

there is a 16- lap race and the oval has one mile of length, then each of the laps has a length of one mile, and the whole race has 16 miles in total

Bobby averages 94 mph and already did 6 laps ( or 6 miles)

then we could write the Bobby equation as B(t) = 6 miles + 94mph*t

where t represents the time in hours.

now we could see how much time Bobby needs to end the race:

B(x) = 6mi + 94mph*x = 16mi

94mph*x = 16mi - 6mi = 10mi

x = (10/94)h = 0.106h

so Bobby needs 0.106 hours to finish the race, and we want to know which velocity Rick should have in order to reach the end of the race at the same time as Bobby.

Rick is starting the race, so he needs to do 16 miles in 0.106 hours, and as we know velocity is distance over time; so the average velocity of Rick is:

V = 16mi/0.106h = 150.9mph

Now let's see the hint:

Bobby does 8 miles in:

94*t = 8

t = 8/94 = 0.085 hours

and Rick does 10 miles in:

150.9*t = 10

t = 10/150.9 = 0.066 hours

wich is clearly different times, so maybe the hint is wrong.

5 0

3 years ago

PLEASE HELP ME!!!

Ede4ka [16]

The roots of the quadratic equation $ax^2+bx+c=0$ are

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$ .

Here the given quadratic equation is $5x^2-13x+7=0$ . Here $a=5,b=-13,c=7$ .

The roots are

$x=\frac{13 \pm \sqrt{13^2-4*5*7}}{2*5} \\ x=\frac{13 \pm \sqrt{29}}{10}$

7 0

3 years ago

Read 2 more answers

Is 7(x+2y) the equivalent of 14x + 14y

ryzh [129]

Answer:

the expressions are not equivalent

Step-by-step explanation:

7(x+2y) (distribute 7 into the parentheses)

= x(7) + 2y(7)

= (7x + 14y) ≠ (14x + 14y)

hence the expressions are not equivalent

8 0

3 years ago

A rectangles width is 5 feet less than its length. Write a quadratic function that expresses the rectangles area in terms of its

Ira Lisetskai [31]

Answer:

Area = L²-5L

Step-by-step explanation:

Area = length * width

Length = L

Width = L - 5

Area = L * (L-5) = L²-5L

4 0

3 years ago

About 543 out of every 1,000 people in United States owned a cell phone in 2003.In japan,the are was 68 for every 100 people.How

Softa [21]

Answer:

The greater percent of cell phone ownership in Japan than the U.S was <u>13.7%</u>.

Step-by-step explanation:

Given:

About 543 out of every 1,000 people in United States owned a cell phone in 2003.

In japan,the are was 68 for every 100 people.

Now, to find the greater percent of cell phone ownership in Japan than the U.S.

So, to get the percent of people owned cell phone in United States:

$\frac{543}{1000}\times 100$

$=0.543\times 100$

$=54.3\%.$

Now, to get the percent of people owned cell phone in Japan:

$\frac{68}{100} \times 100\\\\=0.68\times 100\\\\=68\%.$

So, to get the percent greater of cell phone ownership in Japan than the U.S we subtract the percent of people owned cell phone in United States from the percent of people owned cell phone in Japan:

$68\%-54.3\%\\\\=13.7\%.$

Therefore, the greater percent of cell phone ownership in Japan than the U.S was 13.7%.

5 0

3 years ago