Answer:
Step-by-step explanation:
A perfect square trinomial is written as
, where
first term
= square of first term of binomial
second term=
=twice the product of both terms of binomial.
and third term 'c'=square of last term of binomial
Thus to create a perfect square trinomial put 'a' and 'c' a square number
Let a=4 and c=9
The required trinomial will be

![=(2x)^2+2(2x)(3)+3^2\\=(2x+3)^2.......\text{[using pattern}(a+b)^2=a^2+2ab+b^2]\\=(2x+3)(2x+3)](https://tex.z-dn.net/?f=%3D%282x%29%5E2%2B2%282x%29%283%29%2B3%5E2%5C%5C%3D%282x%2B3%29%5E2.......%5Ctext%7B%5Busing%20pattern%7D%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5D%5C%5C%3D%282x%2B3%29%282x%2B3%29)
Answer:
see explanation
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = width × length
let width be w then length is 2w + 3 ( 3 more than twice the width ), then
A = w(2w + 3) ← distribute
= 2w² + 3w
When w = 4 , then
A = 2(4)² + 3(4)
= 2(16) + 12
= 32 + 12
= 44 ft²
Standard deviation is the square root of the variance, which is the average squared deviation from the mean and as an average of some squared numbers it can't be negative<span>.
</span><span>The smallest value variance can reach is zero. This is when all the numbers in the data set are the same, therefore all the deviations from the mean are zero, all squared deviations are zero and their average is also zero.</span>
ABC is similar to PQR
that means AC/PR is a constant = 12/ 6 = 2
AC= 2 PR
AB= 2PQ
BC= 2QR
Perimeter of ABC= AB+BC+ CA=
2PQ + 2 QR + 2PR= 2( PQ+ QR+ PR)
= 2( perimeter of triangle PQR )
Perimeter of ABC= 2( perimeter of PQR) = 2* 36 = 72
Answer : 72.