1. what number should be added to the expression x^2+2x to change it into a perfect square trinomial?

a. 1

b. 2

c. 4

d. 9

2. what number should be added to the expression x^2+14x to change it into a perfect square trinomial?

a. 7

b. 14

c. 28

d. 49

1) Here, Polynomial = x² + 2x
So, 1/2 (2) = 1 & it's square = 1² = 1

In short, Your Answer would be Option A

2)Here, Polynomial = x² + 14x
So, 1/2 (14) = 7 & it's square = 7² = 49

In short, Your Answer would be Option D

Hope this helps!

53 miles

Step-by-step explanation:

Since Molly drives 36 miles East and then 39 miles south, these directions are perpendicular to each other and thus form a right-angles triangle with hypotenuse side, d ,the distance between the post office and Molly's home.

So, using Pythagoras' theorem, we find the distance d, between Molly's home and the post office.

So, d = √(36² + 39²)

= √(1296 + 1521)

= √2817

= 53.08 miles

≅ 53 miles to the nearest mile.

So, Molly has to drive 53 more miles to get home from the post office.