Answer:
C) x = -
2 ± 2
7
3
Step-by-step explanation:
Answer:
7 pieces of homework
Step-by-step explanation:
This is an algebra problem. We first need to set up our algebra equation and we are going to find X (The amount of homework Richard submitted)
The algebra equation would be
X+X+2=12
*Combine like terms*
2X+2=12
Subtract 2 to both sides
2X=10
X=5
That means that Richard did 5 pieces of homework. We are not done yet because we want to find the amount of homework Isaac did. Earlier in the problem, it said that Issac did 2 more pieces of homework than Richard. Take Richard's number, 5 and add to 2 to it to get 7 pieces of homework.
(1, 
) and (1, - )
Step-by-step explanation:
Step 1 :
The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)
The distance between these 2 points is the length of the given triangle
Distance between the 2 points is 
= sqrt (sq(4-(-2)) + sq(1-1)) = 6
Hence the given triangle has 3 equal side of length 6 unit.
Step 2:
The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C
We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)
Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle
Hence 
= 6
=> 9 + 1 + 
-2 y = 6
=> -2 y - 26 = 0
=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)
Hence the possible co ordinates of C are (1, ) and (1, - )
2(P + 1) + 3(P + 2) > 2
2P + 2 + 3P + 6 > 2
5P + 8 > 2
Subtracting 8 from both sides,
5P > -6
Dividing 5 from both sides,
P > -6/5
P > -1 1/5
So, final answer of your question is -1 1/5
Hope it helped. Let me know, if you have some concern or doubt about it
