3 years ago

Write the additive inverse of 14/113

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Step-by-step explanation:

just opposite it mesn 113/14

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3 years ago

Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan

valina [46]

$2(x^2+y^2)^2=25(x^2-y^2)$

Let $y=y(x)$ , so that differentiating both sides wrt $x$ gives

$4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)$

If $x=-3$ and $y=1$ , the above reduces to

$40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}$

This is the slope of the tangent line, which has equation

$y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}$

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2 years ago

Which diagram represents the net of a cube? Circle all that apply.

Zigmanuir [339]

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Step-by-step explanation:

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1 year ago

If x-y=1 and xy= 56 then find the value of x+y

tester [92]

Answer:

x + y = ±15

Step-by-step explanation:

Step 1: Write out systems of equations

x - y = 1

xy = 56

Step 2: Rearrange 1st equation

x = y + 1

Step 3: Substitution

(y + 1)y = 56

Step 4: Distribute

y² + y = 56

Step 5: Solve for y

y² + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7

Step 6: Plug in y to find x

x - 7 = 1

x = 8

x - (-8) = 1

x + 8 = 1

x = -7

Step 7: Find answer

x + y = ?

8 + 7 = 15

-7 + -8 = -15

So both 15 and -15 could be the answer.

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3 years ago

Read 2 more answers

(x - 4/6) = (x + 2/12) what is x please show your work.

Sergio039 [100]

The equation has no solution

4 0

3 years ago

Write the additive inverse of 14/113​

Write the additive inverse of 14/113