Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8
slope of a line that is parallel = -3/8
2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4
slope of a line that is parallel = -5/4
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perpendicular, slope is opposite and reciprocal
3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3
4)
x = -7, slope is undefined
so slope of perpendicular line is 0
5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2
5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3
slope is opposite and reciprocal, so the equals are perpendicular
6)
3x + y = 5
y = -3x + 5; slope = -3
6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3
both have slope = -3 so equations are parallel
Answer:
The simplified form would ve -19 - 4x
Step-by-step explanation:
Before we combine anything, we first must expand the expression by distributing the -3 to the terms in the parenthesis.
-7 - 3(4 - 2x) - 10x
-7 - 12 + 6x - 10x
Now we can combine the terms with and without variables.
-19 - 4x
Answer:
( 11 -6)
( -5 6 )
Step-by-step explanation:
Multiply the first row of N by first column of M. This will give the first element in top row of the answer :-
-3*-2 + 1*5 = 11
Then multiply the first row in N by the second column of M to give the second element of the top row.
-3*0 + 1*-6 = -6
Then do a similar process with the second row in N.
Answer:
x = 21
Step-by-step explanation:
3x + 18 + 4x + 15 = 180
7x + 33 = 180
7x = 147
x = 21
For this case we must find the unit cost (dollars per pound) of each site and then compare.
We take into account that:
1kg equals 2.205 pounds
So, we have:
Site 1:
Site 2:
So, the unit cost is:
Thus, the best deal is on site 2.
ANswer:
The best deal is on site 2.
