Which ordered pair would fall in the first quadrant of the coordinate plane?
2 answers:
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Answer:
Step-by-step explanation:
Since, If (x,y) represents the coordinates of a line, then after dilation about the origin by the scale factor k, the coordinates of the resultant line will get by the rule,
Here, The equation of the given line is,
y = 2x - 4
x-intercept and y-intercept of the line are (2,0) and (0,-4) respectively,
Hence, the line y = 2x - 4 will be passes through the points (2,0) and (0,-4),
By the above property,
The dilated line about the origin will be passes through the points (3,0) and (0,-6), ( Because (3/2× 2, 3/2×0) = (3,0) and (3/2×0, 3/2×-4) = (0,-6) )
Hence, the equation of transformed line after dilation,
(1)
given =
( cross- multiply )
10j = 54 ( divide both sides by 10 )
j = =
← in simplest form
(9)
let h be the hours worked daily , then
3h = 20 =
( divide both sides by 3 )
h = ÷ 3
= ×
=
= 6
She worked 6 hours each day