Complete the remainder of the function of the table for the given function rule: Y=4-3x/4

X|-4 0 4 8 12
Y| 7 4 1 ? ?

PLZ HELP!

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Ответ:

bartlettcs9817

06.11.2021

Mathematics

Find the distance between A and B, AB,

$AB=\sqrt{(3-3)^2+(-2-8)^2}=10$

Next, find the distance between B and C, BC,

$BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}$

The equation is,

$10=2\sqrt{(t-3)^2+1}$

25=(t-3)^2+1

t^2-3t+10=25

t^2-3t-15=0

Use quadratic formula to get possible values of t,

$t_1=\frac{3+\sqrt{69}}{2}$

$t_2=\frac{3-\sqrt{69}}{2}$

Hope this helps :)

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Complete the remainder of the function of the table for the given function rule: Y=4-3x/4 X|-4 0 4 8 12 Y| 7 4 1 ? ? PLZ HELP!