Answer:
a. a + 10 is the correct option.
Answer : 2 boxes
Step-by-step explanation:
1/2 box = 1/4 house
So, 1 full box will be 2/4 or half of the house.
Therefore, 2 boxes of nails will be used for 4/4 or 1 birdhouse
i hope it helped.
The shadow lengthened by 2.25 ft.
<u>Step-by-step explanation:</u>
Height of the lamppost is not needed here.
We can write the ratio as,
5 /4 = x/5
25 = 4x
x = 25/ 4
Now it is not needed to find the length of the new shadow, and so, we need to find the length of the added shadow.
25 / 4 - 16/ 4 = 25 - 16 / 4 = 9/4 = 2.25 ft
Length of the new shadow is 25/ 4 = 6.25 ft
So length of new shadow - length of old shadow = 6.25 - 4 = 2.25 ft shadow lengthened
Suppose

has two roots, reciprocals of one another. Call them

, with

.
Let's divide through

by

for now. By the fundamental theorem of algebra, we can factorize

as

Expand the RHS to get

so we must have


The first equation says

and

occur in a ratio of the negative sum of the roots of

, while the third equation says that the first and last coefficients

must be the same.