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3 years ago

10

HURRY!!!!!! What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3

x + 4y = 15?

1 answer:

Ipatiy [6.2K]3 years ago

7 0

4y= -3x+15

y= (-3/4)x+15/4

y+2= (-3/4)(x-8)

y+2= (-3/4)x+6

y= (-3/4)x+4

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Step-by-step explanation:

if the IPOD is 350,

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GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

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Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

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Keywords: Triangle, Pythagoras Theorem

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xyz = 252

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and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

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C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

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Just like before, we can think about C* as yet another function but only of 1 variable,

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