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Answer:
-3
Step-by-step explanation:
x - 4 = - 7
Carry over the - 4 and make x the subject.
x= - 7 + 4
x= - 3
Therefore x is - 3
The y intercept is 9 and the unit rate is -7
So we plug these numbers in
y= -7x (the unit rate)+ 9 (y intercept)
y= -7x+9
R is between S and T, so this implies that R is on line ST and we can say
SR+RT = ST
plug in the given expressions to get
(-2x+24)+(4x+10) = 4x+12
Now solve for x
(-2x+24)+(4x+10) = 4x+12
-2x+24+4x+10 = 4x+12
2x+34 = 4x+12
2x+34-2x = 4x+12-2x
34 = 2x+12
34-12 = 2x+12-12
22 = 2x
2x = 22
2x/2 = 22/2
x = 11
If x = 11, then RS is,
RS = -2*x+24
RS = -2*11+24
RS = -22+24
RS = 2
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Answers:
x = 11 and RS = 2