2(x + y)² – 9(x + y) – 5 How do I factorise using identity

5. Each year a tree farm grows 40 more trees than the number of trees grown the previous year. The farm sells all of their trees

Veronika [31]

Answer:

1710 trees up to 2016 (not including 2016)

2100 trees up to 2016 (including 2016)

Step-by-step explanation:

Given that

Farm started with 30 trees in 2007.

Every year 40 more trees than the previous year.

It is actually an Arithmetic Progression (AP) with

First term, a = 30 and

Common Difference, d = 40

The AP will look like:

30, 70, 110, 150, ....

We have to find the sum of this AP upto 9 terms and 10 terms:

9 terms sum will give us the total number of trees up to 2016 (not including 2016).

10 terms sum will give us the total number of trees up to 2016 (including 2016).

Formula for sum of 'n' terms of an AP:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_9=\dfrac{9}{2}(2\times 30+(9-1)40)\\\Rightarrow S_9=\dfrac{9}{2}(60+320)\\\Rightarrow S_9=\dfrac{9}{2}(380)\\\Rightarrow S_9=9 \times 180 = 1710$

$S_{10}=\dfrac{10}{2}(2\times 30+(10-1)40)\\\Rightarrow S_{10}=5(60+360)\\\Rightarrow S_{10}=5 \times 420\\\Rightarrow S_{10}=2100$

1710 trees up to 2016 (not including 2016)

2100 trees up to 2016 (including 2016)

4 0

3 years ago

Need help with this question

vampirchik [111]

The slope of line s is; (0 - a)/(c - 0) = -a/c

<h3>What is the Slope of the Line?</h3>

The formula for slope of a line is;

m = (y2 - y1)/(x2 - x1)

For coordinates of two points labelled as; (x1, y1) and (x2, y2).

Thus, for the line s given on the graph, we can say that;

Slope = (0 - a)/(c - 0)

Slope = -a/c

Thus, the correct option to find the slope of line s is;

(0 - a)/(c - 0) = -a/c

Read more about Slope of Line at; brainly.com/question/3493733

#SPJ1

3 0

1 year ago

What is the answer to this geometry question ?

Art [367]

It is 53°....................

4 0

3 years ago

Read 2 more answers

Bananas cost $0.85 per pound. What equation is used to find c, the total cost of p pounds of bananas? A)C=0.85p B) C= p + 0.85 C

kogti [31]

The answer to your question is a)C=0.85p

6 0

3 years ago

Read 2 more answers

Find the value of x. Round to the nearest tenth.

nordsb [41]

Step-by-step explanation:

here,,

a=3,b=10,C=120°

c^2=a^2+b^2-2ab cos120°

=(3)^2 +(10)^2 _2 (3)(10)(-1/2) [cos120°=-1/2]

=9+100-(-30)

=109+30

=139

c=(139 )1/2=11.79

c=12

3 0

2 years ago

2(x + y)² – 9(x + y) – 5How do I factorise using identity ​

2(x + y)² – 9(x + y) – 5How do I factorise using identity