jayden used the following steps to simplify the given expression.

-3 + 2(2 + x + 3)

step 1: = -3 + 2(x + 2 + 3)
step 2: = -3 + 2(x + 5)
step 3: = -3 + 2x + 10
step 4: = 2x + (-3) + 10
step 5: = 2x + 7

what property of real numbers was used in step 3?
a)distributive property
b)associative property of addition
c)commutative property of addition
d)associative property of multiplication

Option A -distributive property

Step-by-step explanation:

Given : expression     -3 + 2(2 + x + 3)

Step 1: = -3 + 2(x + 2 + 3)

Step 2: = -3 + 2(x + 5)

Step 3: = -3 + 2x + 10

Step 4: = 2x + (-3) + 10

Step 5: = 2x + 7

In step 3 distributive property is applied i.e. c(a+b)=ca+cb

in step 2- 2(x+5) when we apply distributive property it became

2x+10

Therefore, option A is correct

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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