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3 years ago

Is 5p+5c and 5(p+c) equivalent?

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

No, because it is missing a 5 there has to be the same form to be equal if not it won’t be equivalent

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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

What expression represents the profit, and what is the profit if 240 cell phones are sold

aliya0001 [1]

The answer is C

Subtract 2x^2+55x+10 - (2x^2 -15x-40)
70x+50
Then put in 240 for x
You get 16850

The answer is C

8 0

3 years ago

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Please help click on the image below

worty [1.4K]

The answer is -7 over 4 -7/4

6 0

3 years ago

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Elaine mellon earns $17.80 an hour as an electronic billing specialist for a legal clinic. she must work ____ hours a week, to e

just olya [345]

$17.80 in 1 hr

$1 in 1/17.80 hr

$675.00 in 675.00/17.80 hr

37.9 hours

Which is 38 hours after rounding it.

6 0

3 years ago

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How can I use the distributive property to multiply?

VashaNatasha [74]

The distributive property is just using a certain type of grouping symbols inorder to distribute a particular operation to everything within that grouping symbol.
in the problem 2(a-2), you distribute the 2 to everything within the grouping symbols, giving you 2a-4 as your final evaluated answer. if they wanted you to solve, you set it to zero as such
2a-4=0
2a=4
a=2

5 0

4 years ago