What does r equal? 5(3-5r) + 3r = -(5r + 2)
1 answer:
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Answer:
The distance between the posts is feet.
Step-by-step explanation:
In the attached figure, let DB and AC be the posts and let AD be the wire attached to the top of the posts.
BC is the distance between the posts and we need to find BC.
Note that BC = DE
Also, EC = DB = 8m and AE = AC - EC = 17 - 8 = 9 m.
Now, in the right triangle ADE,
= (24+9) (24-9)
= 33(15)
= (3 × 11) × (3 × 5)
Since DE = BC,
Hence, the distance between the posts is feet.
Answer:
Step-by-step explanation:
(Assuming the den is a rectangle)
Let be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as
.
The area of a rectangle is given as , therefore we can form the following equation:
Expanding this, we have:
This factors into , therefore
.
Because -11 is extraneous, the length of the den is feet and the width is
. Thus, the dimensions of the den are
.