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3 years ago

Find the value of 8/6+1/7

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Answer:

x=31/21 or 1 10/21 or 1.476190

Step-by-step explanation:

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Evaluate the expression. 202 + 6(9 + 3)

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3 years ago

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

Select the correct answer.

eimsori [14]

Answer:

Step-by-step explanation:

Given that

f(x)=-2x – 1

g(x) = -1/2x+1/2

I The function f( g(x)) = x for all real x.

-2(-1/2X + 1/2) - 1

X - 1 - 1

X - 2

II. The function glAx)) = x for all real x.

- 1/2( -2X - 1 ) + 1/2

X + 1/2 + 1/2

X + 1

III. Functions fand g are inverse functions

Inverse of f(x)

Y = -2x - 1

X = - 2Y - 1

- 2Y = X + 1

Y = - 1/2X - 1/2

Therefore, none of the above answers is correct.

The correct answer is therefore D

7 0

3 years ago

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