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amm1812
3 years ago
14

Help needed ASAP , thank you!

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

rhombus has all angles=90 degress

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Write the equation of a linear function f, such that f(1)=4 and f(4)=1 Then find f(-2)
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If <em>f(x)</em> is a linear function, then

<em>f(x)</em> = <em>ax</em> + <em>b</em>

for some constants <em>a</em> and <em>b</em>.

Given that <em>f</em> (1) = 4 and <em>f</em> (4) = 1, these constants are such that

<em>f</em> (1) = <em>a</em> + <em>b</em> = 4

<em>f</em> (4) = 4<em>a</em> + <em>b</em> = 1

Solve for <em>a</em> and <em>b</em> : eliminate <em>b</em> by subtracting the two equations,

(<em>a</em> + <em>b</em>) - (4<em>a</em> + <em>b</em>) = 4 - 1

-3<em>a</em> = 3

<em>a</em> = -1

Then

-1 + <em>b</em> = 4

<em>b</em> = 5

So we have

<em>f(x)</em> = -<em>x</em> + 5

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