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3 years ago

If two balanced die are rolled, the possible outcomes can be represented as follows.

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

3 0

Answer:

1/9

Step-by-step explanation:

Sum = 4: (1,3) (2,2) (3,1)

Sum = 12: (6,6)

4/36 = 1/9 or 0.111

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Finding an Equation of a Tangent Line In Exercise, use implicit differentiation to find an equation of the tangent line to the g

Karo-lina-s [1.5K]

Answer:

$y=\frac{4}{3}-\frac{x}{3e}$

Step-by-step explanation:

Equation of tangent line of given function at (e,1) is found by implicitly differentiating the given function w.r.to x

$y^{2}+ln(xy)=2\\\\y^{2}+ln(x)+ln(y)=2\\\\\frac{d}{dx}(y^{2}+ln(x)+ln(y))=\frac{d}{dx}(2)\\\\2y\frac{dy}{dx}+\frac{1}{x}+\frac{1}{y}\frac{dy}{dx}=0\\\\\frac{dy}{dx}(2y+\frac{1}{y})=-\frac{1}{x}\\\\\frac{dy}{dx}=-\frac{y}{x(2y^{2}+1)}\\\\at (e,1)\\\\\frac{dy}{dx}=-\frac{1}{e(2+1)}\\\\\frac{dy}{dx}=\frac{1}{3e}$

Equation of tangent line is

y-y₁=m(x-x₁)

at (e,1)

$y-1=-\frac{1}{3e}(x-e)\\\\y=1-\frac{1}{3e}(x-e)\\\\y=1+\frac{1}{3}-\frac{x}{3e}\\\\y=\frac{4}{3}-\frac{x}{3e}\\$

6 0

4 years ago

Haaaaaaaaaaaaaaaaaaai

Nikolay [14]

Haiiiiiiiiiiiiiiiiiiiiiiiiiiiii haiiiiiiiiiiiiiiiiiiiiiiiiiiiii

7 0

3 years ago

1. Find the equation of a line passing

lina2011 [118]

1. m= 1/2
2. x=-2

hope this helps!

8 0

2 years ago

Harry ,Louis and Niall Are working with exponents. Harry claims 4^2•4^5=4^10 Louis claims 4^2•4^5=4^7 Niall claims 4^2•4^5=16^7

slavikrds [6]

Answer:

Louis is correct

Step-by-step explanation:

we know that

When multiplying two powers that have the same base, you can add the exponents

$a^{n} a^{m}=a^{n+m}$

In this problem we have

$4^{2} 4^{5}=4^{2+5}=4^{7}$

therefore

Louis is correct

4 0

4 years ago

Line m is parallel to line n. The measure of angle 2 is 64°. What is the measure of angle 5?

zloy xaker [14]

Angles 2 and 6 are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent, so angles 2 and 6 are congruent.
m<2 = m<6 = 64 deg.

Angles 5 and 6 are a linear pair, so they are supplementary, and their measures add to 180 deg.

m<5 + m<6 = 180

m<5 + 64 = 180

m<5 = 180 - 64

m<5 = 116

Answer: m<5 = 116 deg.

4 0

4 years ago

If two balanced die are​ rolled, the possible outcomes can be represented as follows.

If two balanced die are rolled, the possible outcomes can be represented as follows.