Answer:
Option D is correct, i.e. (4xy - 3z)² = 16x²y² -24xyz + 9z², a perfect square trinomial.
Step-by-step explanation:
Given the expression is (4xy - 3z)².
Using the formula, (a - b)² = a² -2ab +b².
(4xy - 3z)² = (4xy)² -2(4xy)*(3z) + (3z)²
(4xy - 3z)² = 16x²y² -24xyz + 9z²
It is a trinomial expression and we got it from squared binomial.
Hence, option D is correct, i.e. (4xy - 3z)² = 16x²y² -24xyz + 9z², a perfect square trinomial.
The answer is £200, if you divide 222 by 1.11 it gives you 200
Answer:
The dimensions of the rectangle are 22cm of length and 15cm of width
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a rectangle
a = area = 330 cm²
L = length =
w = width = L - 7cm
a = l * w
we replace with the known values
330 cm² = L * (l - 7cm)
330 cm² = L² - 7Lcm
0 = L² - 7Lcm - 330 cm²
when we have an equation like this we can use bhaskara
a = 1
b = -7Lcm
c = -330cm²
ax² + bx + c = 0
x = -b(±)√(b² - 4ac)/2a
we replace with the known values
L = -(-7cm)(±)√(7² - 4(1)(-330cm²)) / 2(1)
L = 7cm(±)√(49 + 1320cm²)) / 2
L = 7cm(±)√(1369cm²)) / 2
L1 = (7cm + 37cm) / 2
L1 = 44cm / 2 = 22cm
L2 = (7cm - 37cm) / 2
L2 = -30cm / 2 = -15cm
The positive represents the unknown with which we work (L) and the negative with which we do not work (W)
The dimensions of the rectangle are 22cm of length and 15cm of width
Answer:
7/25
Step-by-step explanation:
Probability = # of favorable outcomes / # of possible outcomes
Favorable outcomes = # of blue and yellow marbles
There are 3 yellow marbles and 4 blue marbles
There are 7 blue and yellow marbles so the favorable outcome is 7
Possible outcomes = total number of marbles
12 + 3 + 6 + 4 = 25
There are a total of 25 marbles
So possible outcomes = 25
If probability= favorable outcomes / possible outcomes then the probability of pulling a blue or yellow marble is 7/25