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3 years ago

# The school dance has a math theme.

Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

Answer:

hi lol

Step-by-step explanation:

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Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

borishaifa [10]

Implicit defferentation

remember that dy/dx y= dy/dx

so
take derivitive of both sides
$2x+2y \space\ \frac{dy}{dx}=0$
solve for $\frac{dy}{dx}$
minus 2x both sides
$2y \space\ \frac{dy}{dx}=-2x$
divide both sides by 2y
$\frac{dy}{dx}=\frac{-2x}{2y}$
$\frac{dy}{dx}=\frac{-x}{y}$

when is the slope equal to $\frac{5}{12}$
solve for $\frac{dy}{dx}=\frac{5}{12}$
$\frac{dy}{dx}=\frac{5}{12}$
$\frac{5}{12}=\frac{-x}{y}$
$5y=-12x$
$y=\frac{-12}{5}x$
find where the circle and this line intersects

substitute $\frac{-12}{5}x$ for y
$x^2+(\frac{-12}{5}x)^2=676$
$x^2+\frac{144}{25}x^2=676$
$\frac{25}{25}x^2+\frac{144}{25}x^2=676$
$\frac{169}{25}x^2=676$
times both sides by $\frac{25}{169}$
$x^2=100$
sqrt both sides, take positive and negative roots
x=+/-10

sub back

$y=\frac{-12}{5}x$
$y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)$
$y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}$
$y=-24 \space\ or \space\ 24$

the points are (10,-24) and (-10,24)

8 0

3 years ago

9 x 10^4 scientific notation

prohojiy [21]

9 x 10^4 (Scientific notation)

9e4 (Scientific e notation

= 90000 (Real Number)

6 0

3 years ago

Read 2 more answers

Find the nth term of 1,4,3,16,5,36,7

MakcuM [25]

Answer:

64,9

Step-by-step explanation:

From my understanding the pattern would be:

Every other number is the next consecutive odd number,

( 1, 3, 5, 7 ) are all of the consecutive odds. (So the next odd is 9. )

That when we get to the part of where we get every other number for the remaining numbers, if you multiply the next even number by itself (square it).

4, 16, and 36 ( they are all perfect squares. )

They are the perfect squares of ( 2, 4, and 6) . So it makes sense that ( 8 ) is the next even number and you would square that and get ( 64 )

I hope this makes sense!!

3 0

3 years ago

In circle E shown below, the measure of ∠AED is 98°:

ElenaW [278]

We know that
m Arc DC = 32°

if ∠AED = 98°
then
m Arc AD = 98°-----> by central angle

therefore
m Arc ABC=360°-[m Arc AD+m Arc ]----> 360°- [98°+32°]---> 230°

the answer is
m Arc ABC = 230°

3 0

4 years ago

Read 2 more answers

Is the dilation en enlargement or a reduction? what is the scale factor of the dilation?

nordsb [41]

Answer:

The dilation is an enlargement, and the scale factor is 2. So, the answer is B.

Step-by-step explanation:

5 0

3 years ago