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lozanna [386]
2 years ago
10

Is the sequence 7, 9, 11, 13,.. A)arithmetic B)geometric C) both D)netheir

Mathematics
2 answers:
ladessa [460]2 years ago
6 0
This sequence is arithmetic, because each number is the last number plus two.
kari74 [83]2 years ago
6 0

The correct option will be: A) Arithmetic

Explanation

If a, b, c,.... is a sequence, then

It will be arithmetic sequence when 2b = a+c

and it will be geometric when b^2 = a*c

The given sequence is 7, 9, 11, 13, ....

Here, a= 7, b= 9, c= 11

Arithmetic check

2b= a+c \\ \\ 2(9)= 7+11\\ \\ 18=18  (True)

Geometry check

b^2= a*c\\ \\ 9^2 = 7*11\\ \\ 81 = 77  (False)

So, we can see that the given sequence satisfies the arithmetic rule. That means it's Arithmetic sequence.

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Tell whether the lines through the given points are parallel, perpendicular, or neither.
antoniya [11.8K]

Answer:

The Slope of Line 1 is ->  -\frac{2}{9}

The Slope of Line 2 is -> -\frac{9}{2}

These two lines are - >  Perpendicular

Step-by-step explanation:

To find the slope of line one, you follow these steps:

First Coordinate 10 -> x1, 5 -> y1

Second Coordinate -8 -> x2, 9 -> y2

Then insert the assigned values into this equation:  \frac{y2-y1}{x2-x1} -> \frac{9-5}{-8-10} which equals \frac{4}{-18} which simplifies to -\frac{2}{9}

Then do the same process to find the slop of line 2:

First Coord: 2 -> x1, -4 -> y1

Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: \frac{y2-y1}{x2-x1}  ->\frac{11-2}{-6-(-4)} which equals \frac{9}{-2}.

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

Hope this helps!

5 0
3 years ago
Using Substitution solve: y=x+5<br> 4x+y=20
Vladimir [108]

Answer:

3

Step-by-step explanation:

So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3

4 0
3 years ago
Consider the equations 15x + 9y = 45 and 9x + 8y = 12. Solve the system of equations using elimination. Give your solution to th
True [87]

Answer:

(-5.77, 6.46)

Step-by-step explanation:

15x + 9y = 45 ----------- i

9x + 8y = 12----------------ii

Multiply equation i by 9 the coefficient of x in equ ii

And equation ii by 15 the coefficient of x in equ I

9 x 15x + 9y = 45 ----------- i

15 x 9x + 8y = 12----------------ii

135x+81y = 405

135x+120y= 180

Subtract equation ii from I

135x-135x+81y-(+120y)= 405-180

-39y=225

y = 225/-39 = -5.77

Insert the value of y in equ i

15x + 9y = 45

15x+9(-5.77) = 45

15x-51.92=45

15x = 45+51.92

15x= 96.92

x = 96.92/15= 6.46

(x,y) = (-5.77, 6.46)

x = 6.92/15

5 0
3 years ago
-4/3 divided by (-12)
marissa [1.9K]

Answer:

0.11111111111

Step-by-step explanation:

i hope this is right! if not im sorry!

7 0
3 years ago
Read 2 more answers
What is 1 1/3 times 1 4/9 in fraction form
nikitadnepr [17]

Answer:

52 / 27

Step-by-step explanation:

3 0
2 years ago
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