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.
Answer:
p=q
Step-by-step explanation:
all angles together is 180. p=70 degrees and q = 70 degrees
Answer:
y = 64(0.5)ˣ
Step-by-step explanation:
We can write this as an exponential decay function. The formula for that is y = a(1 - b)ˣ where a is the initial value and b is the decay factor. In this case, a = 64 and b = 1/2 or 0.5 so the final answer is y = 64(0.5)ˣ.
Let be x the number that Ben thought of, and write the equation:
x/2 + x/4 = 60
Solve for x:
3x/4 = 60
3x = 60*4
x = 240/3
x = 80
Ben thought 80.
<span>In a system of linear equations we should first try to eliminate one variable. Like this:2a+2x=18........................(1)a+3x=17........................(2)Multiply equation (2) with 2:2a+6x=34....................(3)Subtract 1) and (3):-4x=-16x=4Substitute in 1) or 2) to get 'a' value:a=5Therefore the solution is x=4 and a=5...................(Answer)</span>