1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sladkaya [172]
3 years ago
5

What is the general rule for the arithmetic sequence? 15, 12, 9, 6, … A. 3n – 18 B. 6(3 – n) C. 3n + 12 D. 18 – 3n

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0
A1 = first term
a1 = 15
---------------------------------------------
d = common difference 
d = (second term) - (first term)
d = a2 - a1
d = 9-12
d = -3
The negative common difference indicates that the terms are decreasing
Each time we subtract 3, or add -3, to get the next term.
----------------------------------------------
nth term of arithmetic sequence
an = a1 + d(n-1)
an = 15 + (-3)(n-1)
an = 15- 3n + 3
an = 18 - 3n

Answer is choice D
You might be interested in
Can you guys answer this please
UNO [17]
What’s the question?
5 0
3 years ago
Read 2 more answers
Y=-x+1 y=2/3x-4 please answer this!!!!
yawa3891 [41]

Answer:

(x, y) = (-15, -14)

Step-by-step explanation:

y = x+1

y = 2/3x - 4

Next, we will substitute the value of y (first equation) into the second equation.

x+1 = 2/3x - 4

1/3x + 1 = -4

1/3x = -5

x = -15

So, y = -14

3 0
3 years ago
PLEASE HELPP! Two functions are shown in the table below. Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = −x +2? Complete the t
cricket20 [7]

Answer:

D) 6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You have $2500 in your bank account. It quadruples every 5 years. How
andrew-mc [135]

Answer:

<h2>2560000</h2>

Step-by-step explanation:

2500 x 4= 10000

10,000 x 4=40,000

40,000 x 4=160,000

160,000 x 4=640,000

640,000 x 4= 2560000

5 0
2 years ago
2. The coordinates of the vertices of ABC are A (5, 2), B (2, 4), and C (7, 5). Determine whether ABC is a right triangle.
Amiraneli [1.4K]

Answer:

Part 2) Triangle ABC is a right triangle (see the explanation)

Part 3) Quadrilateral QRST is not a parallelogram (see the explanation)

Step-by-step explanation:

Part 2) we have

A (5, 2), B (2, 4), and C (7, 5)

Plot the figure to better understand the problem

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the length side AB

A (5, 2), B (2, 4)

substitute the values in the formula

d=\sqrt{(4-2)^{2}+(2-5)^{2}}

d=\sqrt{(2)^{2}+(-3)^{2}}

d_A_B=\sqrt{13}\ units

step 2

Find the length side BC

B (2, 4), C (7, 5)

substitute the values in the formula

d=\sqrt{(5-4)^{2}+(7-2)^{2}}

d=\sqrt{(1)^{2}+(5)^{2}}

d_B_C=\sqrt{26}\ units

step 3

Find the length side AC

A (5, 2), C (7, 5)

substitute the values in the formula

d=\sqrt{(5-2)^{2}+(7-5)^{2}}

d=\sqrt{(3)^{2}+(2)^{2}}

d_A_C=\sqrt{13}\ units

step 4

Verify if the triangle ABC is a right triangle

we know that a right triangle must satisfy the Pythagorean Theorem

so

BC^2=AB^2+AC^2

Remember that the hypotenuse is the greater side

substitute the values

(\sqrt{26})^2=(\sqrt{13})^2+(\sqrt{13})^2

26=13+13

26=26 ----> is true

therefore

Triangle ABC is a right triangle

Part 3) we have

Q (5, 1), R (8, 7), S (14, 10) and T (10, 2)

we know that

The opposite sides of a parallelogram are parallel and congruent

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Step 1

Find the length side QR

Q (5, 1), R (8, 7)

substitute in the formula

d=\sqrt{(7-1)^{2}+(8-5)^{2}}

d=\sqrt{(6)^{2}+(3)^{2}}

d_Q_R=\sqrt{45}\ units

Step 2

Find the length side RS

R (8, 7), S (14, 10)

substitute in the formula

d=\sqrt{(10-7)^{2}+(14-8)^{2}}

d=\sqrt{(3)^{2}+(6)^{2}}

d_R_S=\sqrt{45}\ units

Step 3

Find the length side ST

S (14, 10), T (10, 2)

substitute in the formula

d=\sqrt{(2-10)^{2}+(10-14)^{2}}

d=\sqrt{(-8)^{2}+(-4)^{2}}

d_S_T=\sqrt{80}\ units

Step 4

Find the length side QT

Q (5, 1), T (10, 2)

substitute in the formula

d=\sqrt{(2-1)^{2}+(10-5)^{2}}

d=\sqrt{(1)^{2}+(5)^{2}}

d_Q_T=\sqrt{26}\ units

Step 5

Compare the length of the opposite sides

QR and ST

\sqrt{45}\ units \neq \sqrt{80}\ units

d_Q_R \neq d_S_T

RS and QT

\sqrt{45}\ units \neq \sqrt{26}\ units

d_R_S \neq d_Q_T

Opposite sides are not congruent

therefore

Quadrilateral QRST is not a parallelogram

5 0
3 years ago
Other questions:
  • Graph C (3, 2). Translate the point left 3 units and down 1 unit. Graph the image point C
    15·1 answer
  • FIND THE VALUE OF LOG 16 BASE 1/2
    7·1 answer
  • /// WORTH 70 points /// ASAP ////
    13·1 answer
  • Find the area of the parallelogram​
    9·1 answer
  • 20 POINTS!!!!
    7·1 answer
  • Erica invests $10,000 at 5% interest compounded annually.
    14·1 answer
  • Which two numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?
    10·1 answer
  • The Andrésvhhhhuhcvc
    12·1 answer
  • Is the graphed function linear?
    9·2 answers
  • I just need the answers
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!