Suppose c and d represent two different school populations where c > d and c and d must be greater than 0. which of the following expressions is the largest? explain why. show all work necessary. a: (c + d)2 b: 2(c + d) c: c2 + d2 d: c2 − d2

answer.

a.   ( c + d )² = 9

step by step explanation

lets say c equals 2 and d equals 1 then you replace c with 2 and d with 1 you get this for the expressions

a. ( 2 + 1 )² = 9

step 1

work inside parentheses

↓ ( 2 + 1 )² ↓

( 2 + 1 )² = (3)²

step 2

calculate exponents

↓ 3² ↓

3 × 3 = 9

b. 2( 2 + 1 ) = 6

step 1

2( 2 + 1 ) work inside the parentheses so you would get 2( 3 )

step 2

multiply 2 × 3 = 6

c. 2² + 1² = 5

step 1

calculate exponets

2² = 4

1² = 1

step 2

rewrite expression and solve

4 + 1 = 5

d. 2² - 1² = 3

step 1

calculate exponets

2²→ 4

1²→ 1

step 2

rewrite and solve expression

4 - 1 = 3

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl