<z = 180 - 43
<z = 137
answer
<z = 137 degrees
Answer:
2c(c - 3)(c - 8)
Step-by-step explanation:
Hello!
Factor:
- 2c³ - 22c² + 48c
- 2c(c² - 11c + 24)
Think: What two numbers multiply to 24, and add up to -11?
Answer: -8 and -3
Split up the -11c into -8c and -3c:
- 2c(c² - 8c - 3c + 24) (factor each pair)
- 2c( c(c - 8) - 3(c - 8))
- 2c(c - 3)(c - 8)
The answer is: " x < -3 " .
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Explanation:
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Given:
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" 9(2x + 1) < 9x – 18 " ;
First , factor out a "9" in the expression on the right-hand side of the inequality:
9x – 18 = 9(x – 2) ;
and rewrite the inequality:
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9(2x + 1) < 9(x – 2) ;
Now, divide EACH SIDE of the inequality by "9" ;
[9(2x + 1)] / 9 < [9(x – 2)] / 9 ;
to get:
2x + 1 < x – 2 ;
Now, subtract "x" and add "2" to each side of the inequality:
2x + 1 – x + 2 < x – 2 – x + 2 ;
to get:
x + 3 < 0 ;
Subtract "3" from EACH SIDE ;
x + 3 – 3 < 0 – 3 ;
to get:
" x < -3 " .
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Answer:
She drove 12 hours
5+4+3=12
Step-by-step explanation:
9x+3y=36
3y=-9x+36
y=-3x+36
For lines to be perpendicular their slopes must be negative reciprocals of each other...mathematically:
m1*m2=-1 and in this case for a line to be perpendicular to y=-3x+36 that line must have a slope of:
-3m=-1, m=1/3 so
y=x/3+b, and using point (6,2) we can solve for b, the y-intercept...
2=6/3+b
2=3+b
b=-1 so the perpendicular line passing through the point (6,2) is:
y=x/3-1 or more neatly...
y=(x-3)/3
