Answer:
scale factor = 
Step-by-step explanation:
the scale factor is the ratio of corrresponding sides. image to original.
scale factor =
=
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Because of the relatively large coefficients {9, 42, 49}, applying the quadratic formula would be a bit messy. Instead, I've chosen to "complete the square:"
9x^2 + 42x + 49 = 0 can be re-written as 9 [ x^2 + (42/9)x ] = -49
Dividing both sides by 9, we get [ x^2 + (42/9)x ] = - 49/9
Completing the square: [ x^2 + (42/9)x + (21/9)^2 - (21/9)^2 ] = -49/9
[ x + 21/9 ]^2 = 441/81 - 441/81 = 0
Then [ x + 21/9 ] = 0, and x = -21/9 (this is a double root).
There are 100 cm in a meter so 100/50=2
2x9 = 18
the ladybug is 18 mm
2, 70$ : 3 = 0, 9o $The total cost for each pen
_____________
Answer:
$900
Step-by-step explanation:
Since 30 is 3/4 of 40, Mike makes 3/4 of what 1,200 is in 30 hours
3/4 of 1,200 is 900
Therefore, Mike makes $900 in 30 hours