Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is <em>arithmetic </em>(a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form 
, where 
is the term number and 
is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that
and hence 
. Therefore, the 30th term of the sequence is 
.
Answer:
(x−5y)(9x+8)
Step-by-step explanation:
9x^2−45yx+8x−40y
Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.
9x(x−5y)+8(x−5y)
Factor out common term x−5y by using distributive property.
(x−5y)(9x+8)
Answer:
D) About 40 miles
Step-by-step explanation:
Using the Pythagorean theorem, you caculate c=√ a^2 + b^2
Oceanfront to Landview is 5(5) units = 25
Landview to Seaside is 6(5) units = 30
25^2 = 625
30^2 = 900
√625 + 900 = 39.0512....
Basically it’s 40 miles
What I would do first is find the base and height of the rectangle and from there you have the diameter of the circle so you can divide that by 2 and you have your radius which you’d be able to find the total area
When you divide you get 6.666667 then in fraction it is 20/3 so in mix number 6 2/3.
