The formula yields the parallelogram's area A. A=bh. Here, b stands for one base's length and h for its height. The lengths of a parallelogram's four sides are added to determine its perimeter.
<h3>What is the perimeter ?</h3>
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
We must sum up the lengths of the rectangle's four sides in order to get its perimeter. Since there are two of each side length, it is easy to accomplish this by simply adding the length and width and multiplying the result by two. The perimeter formula is defined as perimeter=(length + width)
<h3>What is a Parallelogram ?</h3>
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
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The opposite of -3 is positive 3. This is because the opposite of a negative is a positive.
Answer:
Lina's solution is correct because it expresses 126 as a product of prime factors.
Step-by-step explanation:
Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.
Prime factorization makes use of a factor tree
The number we are to carry out prime factorization on is 126
126
/\
3 42
/\
6 7
/\
2 3
The Prime Factorization is:
2 x 3 x 3 x 7
Hence, Lina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126
= 2 times 3 squared times 7.
Is correct.
Answer:
2(x - 3)(x - 9)
Step-by-step explanation:
Given
f(x) = 2x² - 24x + 54 ← factor out 2 from each term
= 2(x² - 12x + 27) ← factor the quadratic
Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (- 12)
The factors are - 3 and - 9 , since
- 3 × - 9 = + 27 and - 3 - 9 = - 12 , thus
x² - 12x + 27 = (x - 3)(x - 9) and
f(x) = 2(x - 3)(x - 9) ← in factored form