The expressions for this are A,B,C,E,G
Answer:
=14s4−7s2+15
Step-by-step explanation:
Steps:
1: Distribute the Negative Sign
=12s4−6s2+4s+6s4−4s+27+−1(4s4+s2+12)
=12s4+−6s2+4s+6s4+−4s+27+−1(4s4)+−1s2+(−1)(12)
=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12
2: Combine Like Terms
=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12
=(12s4+6s4+−4s4)+(−6s2+−s2)+(4s+−4s)+(27+−12)
=14s4+−7s2+15
Answer: =14s4−7s2+15
<em><u>Hope this helps.</u></em>
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Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
