Answer:
Option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²
Step-by-step explanation:
Perfect square trinomial is an algebraic expression of three terms which can be combined into a squared binomial like (a+b)^2 = a^2 + 2ab + b^2.
From the given options, we can eliminate first two options because they have only two terms (they are not trinomials).
Checking 3rd option:- 16x² + 24xy + 9y²
16x² + 24xy + 9y² = (4x)² + 2(4x)(3y) + (3y)²
16x² + 24xy + 9y² = (4x + 3y)²
Checking 4th option:- 49x² - 70xy + 10y²
49x² - 70xy + 10y² = (7x)² - 2(7x)(5y) + 10y²
Hence, option C is correct, i.e. 16x² + 24xy + 9y² = (4x + 3y)²
An exponent is customarily indcated using a caret (^), the character above the "6" on most keyboards. People like to write your first term as sin^2(x), but it is perhaps better written as sin(x)^2, the square of sin(x). Note that parentheses are required to identify the argument of the sine function.
You can let some variable stand for sin(x), such as ...
.. z = sin(x)
Now, the expression can be written as
.. z^2 +z -2
This quadratic expression can be factored in the usual way: find two factors of -2 (the constant term) that add to +1 (the coefficient of z).
You know
.. -2 = -1*2 = -2*1
The first factor pair (-1, 2) sums to +1, so we can write the factorization as
.. z^2 +z -2 = (z -1)(z +2)
In terms of the trig function, this is
.. sin(x)^2 +sin(x) -2 = (sin(x) -1)*(sin(x) +2)
Answer:
This study is good because we have minimized sampling error.
Step-by-step explanation:
We are given that . The researcher has two groups.
The researcher classifies the students based on when they volunteer for the study.
The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.
A. This study is poor because the researcher did not use random sampling.
B. This study is poor because the researcher did used random sampling.
C. This study is good because we have minimized sampling error.
D. This study is good due to the equal sample size in each group.
Option C is true : This study is good because we have minimized sampling error.
Answer:the 2nd one is the answer it's easy I just did it :
6x10^3 :six times ten to the third power