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4 years ago

Instructions: Factor 715 as a product of primes.

Mathematics

1 answer:

Drupady [299]4 years ago

8 0

Answer:

{1, 5, 143}

Step-by-step explanation:

715 is evenly divisible by 5, so one factor of 715 is 5 and the next is 715/5, or 143. 143 is not factorable further. Thus, the factors of 715, in ascending order, are 1, 5 and 143.

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4 years ago

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y 2 ( y 2 − 4 ) = x 2 ( x

yawa3891 [41]

Answer:

y = -2

Step-by-step explanation:

To find the equation of the tangent we apply implicit differentiation, and then we take apart dy/dx

The equation is

$y^2(y^2-4)=x^2(x^2-5)$

implicit differentiation give us

$\frac{d}{dx}[y^2(y^2-4)=x^2(x^2-5)]\\\\2y\frac{dy}{dx}(y^2-4)+y^2(2y\frac{dy}{dx})=2x(x^2-5)+x^2(2x)\\\\4y^3\frac{dy}{dx}-8y\frac{dy}{dx}=2x^3-10x+2x^3\\\\\frac{dy}{dx}=\frac{4x^3-10x}{4y^3-8y}$

But we know that

$m=\frac{dy}{dx}\\y=mx+b$

Hence, for the point (0,-2) and by replacing for dy/dx

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Hence m=0, that is, the tangent line to the point is a horizontal line that cross the y axis for y=-2. The equation is:

y=(0)x+b = -2

HOPE THIS HELPS!!

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4 years ago

HELLPP!! Find the value of x that makes line m parallel to line n:

Veseljchak [2.6K]

Answer:

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Step-by-step explanation:

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3 years ago

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A(-1,3), B(-2,5)

Slope equation : (y₂-y₁) / (x₂-x₁)

Plug in the values into the equation.

AB = (5 - 3) / (-2+1)

Simplify.

AB = 2 / -1

AB = -2

So, your slope is -2.

~Hope I helped!~

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nignag [31]

The correct answer is (x - 6)2 = 94

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3 years ago

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