Paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant
so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8
equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4
B is answer
No. Because sides JM and KL have different slopes from sides AD and BC .
The formula of a slope:
For AD:
We have the points A(2, -2) and D(1, -4). Substitute:
For JM:
We have the points J(4, -4) and M(2, -9). Substitute:
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Another argument.
No. Because the MJ is not twice as long as AD.
The formula of the length of a segment:
The length of AD:
The length of MJ:
Answer:
61.15 m
Step-by-step explanation:
From trigonometry :
Tan x = opposite / Adjacent
x = 28°
Tan 28 = distance from base to fire / height
0.5317094 = distance from base to fire / 115
distance from base to fire = 115 * 0.5317094
distance from base to fire = 61.15 m
Answer:
-350/9 (improper fraction)
-38 8/9 (mixed number)
Step-by-step explanation:
Converting to improper fractions :
- 3 5/3
- 3 x 3/3 + 5/3
- 9/3 + 5/3
- <u>14/3</u>
2. -8 1/3
- -(8 x 3/3 + 1/3)
- -(24/3 + 1/3)
- <u>-25/3</u>
Multiplying them :
- 14/3 x -25/3
- -350/9 (improper fraction)
- -38 8/9 (mixed number)
Answer:
B) {x| x<-12 or x>-6}
Step-by-step explanation:
-2/3x>8
change -2/3 as -3/2 and multiply both sides by -3/2x
-2/3x•(-2/3)x<-3/2•8
calculate
reduce
x<-3•4
multiply numbers
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x<-12
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now we're done with the first equation, let's do the other equation to find the answer!
-2/3x<4
multiply both sides by -3/2 and again change -2/3 by -3/2
-3/2•(-2/3)x>-3/2•4
calculate
reduce
x>-3•2
multiply numbers
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x>-6
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