You multiply 2(x+1) which is 2x+2.
Then you multiply 5(2x-3) which is 10x-15
Finally, you add 2x+2 and 10x-15, and you get 12x-13
The answer is 12x - 13
Hope this helps!
1.
a
y = 5/2x - 3...slope = 5/2
5x = 2y - 4
2y = 5x + 4
y = 5/2x +2...slope = 5/2
both equation has same slope = 5/2 so the lines are parallel
b.
2x + 8y = -24
8y = -2x - 24
y = -1/4x - 3...slope = -1/4
48y = -12x -144
y = -1/4 -3...slope = -1/4
both equation has same slope = -1/4 so the lines are parallel
c.
2x-7y = -56
7y = 2x +56
y =2/7x + 8...slope = 2/7
7x +2y = 8
2y = -7x + 8
y = -7/2x + 4...slope = -7/2
first equation has slope = 2/7 and 2nd equation has slope = -7/2...so the lines are perpendicular
2.
A. y = 13
B. y = -2/3x - 2/3 ....slope = -2/3
C. 4x-7y = 56
7y = 4x - 56
y = 4/7x - 8 ...slope = 4/7
D.2x - 4y = -10
4y = 2x +10
y = 1/2x + 5/2....slope = 1/2
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A line perpendicular to -3x + 2y = 8
-3x + 2y = 8
2y = 3x +8
y = 3/2 x +4 ....slope = 3/2
This answer is B
.............................................
a line parallel to 2y -x = 2
2y = x +2
y = 1/2x + 1 ...slope = 1/2
This answer is D
..............................
a line perpendicular to x = -13
answer is A. y = 13
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a line parallel to 16x = 28y so
y = 16x/28
y =4/7x ...slope = 4/7
This answer is C
35. an open circle means there is no equal sign, and shading to the left means less then...so inequality is : x < 6
36. a closed circle means there is an equal sign, and shading to the left means less then.... x < = 9
in short...a closed circle means there is an equal sign, an open circle means there is not. if it is shaded to the left, it is less then...if it is shaded to the right, it means it is greater then.
37. x > 4
38. x > = 4
39. x < 1
40. x < = 5
41. x > = 5
42. x < 0
The triangles ABC and ADC are similar.
Therefore