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3 years ago

8

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

Answer:

This will help you- onlinemath4all.com/how-to-find-the-distance-of-a-chord-from-the-center-of-a-circle.html

If u still can't solve it msg me in this answer.

jenyasd209 [6]3 years ago

5 0

answer is 5 cm

I am happy to help

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What is the product of the polynomials below?<br> (3x^2 - 2x - 3)(5x^2 + 4x + 5)

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15x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

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A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra

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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)

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3 years ago

1/2 base x height is area of a rectangle

shutvik [7]

Answer:

Triangle

Step-by-step explanation:

Area of a triangle

= 1/2 x base x height

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