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3 years ago

14

Triangle QRS has been rotated 90° to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite an

d reciprocal slopes.

1 answer:

Zanzabum3 years ago

6 0

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90°, 90 ° clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

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Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>

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Read 2 more answers

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Answer:

If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y

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3 years ago

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Question:

Find numbers a and k so that x-2 is a factor of

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Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

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If $x - 2$ is a factor, then

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$a=1$

Substitute 1 for a in $k = 12a - 14$

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