Answer: Rational Numbers are the Numbers where if p/q, q is not equal to 0 and p is an integer. So according to this questionm denominators can’t have the negative rational numbers. If it has, we need to convert it to standard form, eg:- p/-q = -p/q
Answer:
(-3, 13)
Step-by-step explanation:
Coordinate of A is (7,5)
4 units to the left means (7-4, 5) --> (3,5)
8 units up means (3, 5+8) --> (3,13)
Reflected across the y-axis means that the sign of whatever x coordinate you have now will be reversed.
So (-3,13)
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Answer:
1800
Step-by-step explanation:
Labor quantity variance= Actual quantity ×standard price - standard quantity ×standard price
Standard quantity=2×2600=5200
Labor quantity variance
5050×12-5200×12=1800
The correct answer is definitely C.
