Answer:
32 m
Step-by-step explanation:
The distance across the river is give as x and we are interested in finding the value of x.
Both the triangles are similar by AA Postulate.
Therefore,
20/x = 10/16 (by c.s.s.t.)
2/x = 1/16
x = 16*2
x = 32 m
Answer:
-0.3n + 0.6
Step-by-step explanation:
if we write out the entire expression we have:
0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)
then we add and subtract
and receive
-0.3n + 0.6
Answer:
x4−5x3−6x2+26x+20
Step-by-step explanation:
(x−5)(x3−6x−4)
=(x+−5)(x3+−6x+−4)
=(x)(x3)+(x)(−6x)+(x)(−4)+(−5)(x3)+(−5)(−6x)+(−5)(−4)
=x4−6x2−4x−5x3+30x+20
=x4−5x3−6x2+26x+20
Answer:
You gave the explicit form.
Step-by-step explanation:
You gave the explicit form.
The recursive form is giving you a term in terms of previous terms of the sequence.
So the recursive form of a geometric sequence is 
and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.
r is the common ratio and can found by choosing a term and dividing by the term that is right before it.
So here r=-3 since all of these say that it does:
-54/18
18/-6
-6/2
If these quotients didn't match, then it wouldn't be geometric.
Anyways the recursive form for this geometric sequence is
Answer: 14 miles ≤ D ≤ 22 miles.
Step-by-step explanation:
The mean distance traveled per gallon, is 18 miles.
But this can fluctuate, at most, by 4 miles.
Because we have here the "at most", we know that we should use the ≤, ≥ symbols.
Then, if the mean is 18mi, the range of possible distances traveled per gallon is:
(18 miles - 4 miles) ≤ D ≤ (18 miles + 4 miles)
Where D is the distance.
14 miles ≤ D ≤ 22 miles.
So the truck can get between 14 miles and 22 miles per gallon on the highway.
