Ans: Option A
Explanation:
Let's solve it smartly!
Given expression:

--- (A)
Factors: (x+p)(x+q)
Condition: c<0
Now let us expand (x+p)(x+q):
=>

--- (B)
By comparing (B) with (A), we can say that:
pq = c --- (C)
Now, as the condition says, c<0, it means either p or q is negative. Both cannot be positive or both cannot be negative.
1) If p>0, q>0, it means c>0 since (+p)(+q) = (+c)(according to equation (C)). Condition is not met.
Hence, option B and D are wrong.
2) If p<0, q<0 it means c>=0 since (-p)(-q) = (+c)(according to equation (C)). Condition is not met.
Hence option C is out as well.
We are left with Option A:p<0, q>0 it means c<0 since (-p)(+q) = (-c)(according to equation (C)).
Condition is MET!
Hence,
Ans: Option A: p= -3, q= 7
Answer:
x=7
Step-by-step explanation:
6x-12 = 2x-6
get like terms on the same side by adding/subtracting.
6x - 12 = 2x - 6
+ 12, -2x on both sides
6x - 2x = -6 + 12
4x = 6
divide all by 4
x = 1.5
to check your answer, plug in 1.5 for x and see if they are equal to one another.
6(1.5) - 12 = -3
2(1.5) - 6 = -3
Answer:

Step-by-step explanation:
we know that
The scale on a map is 
we can say that
on a map is equal to
in the actual
so
Convert centimeters to meters
Remember that


Answer: x=2
√
10
, -2
√
10