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nikklg [1K]
3 years ago
6

What is the area, in square units, of the parallelogram shown below?

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0
60? im not got with area for some strange reason
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Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,...8,−5,−18,−31,...8, comma, minus, 5, comma, minus, 1
dimaraw [331]

The recursive formula for the arithmetic sequence is given as follows:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

<h3>What is an arithmetic sequence?</h3>

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1)d

In which a_1 is the first term.

The recursive formula for the sequence is given by:

a_n = a_{n-1} + d

In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:

a_1 = 8, r = 13

Hence, the recursive sequence is given by:

  • d(1) = 8.
  • d(n) = d(n - 1) - 13.

More can be learned about arithmetic sequences at brainly.com/question/6561461

#SPJ1

3 0
1 year ago
A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the
pochemuha

Answer:

The quadratic function whose graph contains these points is y=-x^{2}-2x-2

Step-by-step explanation:

We know that a quadratic function is a function of the form y=ax^{2}+bx+c. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.  

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

-2=a*0^{2}+b*0+c\\c=-2

-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17

-17=a*3^{2}+b*3+c\\ c=-9a-3b-17

We can solve these system of equations by substitution

  • Substitute c=-9a-3b-17

-9a-3b-17=25a+5b-17\\-9a-3b-17=-2

  • Isolate a for the first equation

-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}

  • Substitute a=\frac{b}{2} into the second equation

-9\left(-\frac{b}{2}\right)-3b-17=-2

  • Find the value of b

-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2

  • Find the value of a

a=\frac{b}{2}\\  a=-1

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

y=-x^{2}-2x-2

As you can corroborate with the graph of this function.

8 0
3 years ago
PLEASE HELP DUE TODAY! ANSWER ALL NO BITLY!
slava [35]

Answer:

First: 3

Second: y = 8x

Third: Proportional

4 0
2 years ago
Read 2 more answers
The system has how many solutions?
mafiozo [28]

Answer:

1 solution

Step-by-step explanation:

It's only 1, because the two lines intersect in one spot only.

4 0
3 years ago
Read 2 more answers
Help! I need somebody
oee [108]

Answer:

t to the sixth power equals 9

t=1.5

Step-by-step explanation:

6 0
3 years ago
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