Select the number sentence that illustrates the distributive property of multiplication over addition. a. 6 × (4 + 9) = (6 + 4) × (6 + 9) b. 6 × (4 + 9) = (6 × 4) + (6 × 9) c. 6 × (4 + 9) = (6 × 4) + 9 d. 6 × (4 + 9) = (6 + 4) × 9

That is option B

you multiply 4 by 6 then multiply 9 by 6 and add the 2 results.

Q1.).

6(4+9) ? = (6+4)(6+9)

6(13) ==> 78 ==> (10)(15) ==> 150

78 ≠ 150

False, The sides ARE NOT EQUAL.

Q2.).

6(4+9) ? = (6)(4)+(6)(9)

6(13) ==> 78 ==> (24) + (54) ==> 78

78 = 78

True, The sides ARE EQUAL.

Q3.).

6(4+9) ? = (6)(4)+9

6(13) ==> 78 ==> (24) + 9 ==> 33

78 ≠ 33

False; The sides ARE NOT EQUAL.

Q4.).

6(4+9) ? = (6+4)(9)

6(13) ==> 78 ==> (10)(9) ==> 90

78 ≠ 90

False; The sides ARE NOT EQUAL.

Hence; Letter Choice; (B), is the Correct True, The sides ARE EQUAL.

6(4+9) ? = (6)(4)+(6)(9)

6(13) ==> 78 ==> (24) + (54) ==> 78

78 = 78

Hope that helps : )

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

answer: about 22.67

step-by-step explanation: