Answer:
B. 4 and 6 in
Step-by-step explanation:
The triangle inequality rule states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
So for the first qualification, we can eliminate A, C, and D. Therefore the answer is B, 4 & 6 in
Answer:
Positive
Step-by-step explanation:
-13 plus positive 20 equals positive 7
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:
1800
Step-by-step explanation:
(1/2)/100 of x = 9
1/2*1/100 of x = 9
1/200 of x = 9
x/200 of x = 9
x = 9*200
x = 1800
Answer:
There are 13 motorcycles and 22 cars
Step-by-step explanation:
Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...
x + y = 35 (there are a total of 35 vehicles)
2x + 4y = 114 (the total number of tires)
Solve the first equation for either variable...
y = 35 - x
Now substitute that value into the other equation and solve...
2x + 4(35 - x) = 114 (y becomes 35 - x)
Now solve...
2x + 140 - 4x = 114
-2x = -26
x = 13 (there are 13 motorcycles)
Now plug that value into either original equation to solve for y...
13 + y = 35
y = 22 (there are 22 cars(