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
Setler [38]
2 years ago
8

If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?

Mathematics
1 answer:
Rudiy272 years ago
6 0

The value of a28 given a11 = 23 and a15 = −5 is -96

Given:

a11 = 23

a15 = −5

Where,

a1 = first term

d = common difference

a11 = a + 10d = 23

a15 = a + 14d = -5

a + 10d = 23 (1)

a + 10d = 23 (1)a + 14d = -5 (2)

subtract (1) from (2) to eliminate a

14d - 10d = -5 - 23

4d = -28

d = -28 / 4

d = -7

Substitute d = -7 into (1)

a + 10d = 23 (1)

a + 10(-7) = 23

a - 70 = 23

a = 23 + 70

a = 93

So,

a28 = <em>a + 27d</em>

= 93 + 27(-7)

= 93 + -189

= 93 - 189

= -96

Therefore, the value of a28 given <em>a11 = 23</em> and <em>a15 = −5</em> is -96

Learn more about arithmetic sequence:

brainly.com/question/6561461

You might be interested in
Please answer this correct answer now fast
lutik1710 [3]

Answer:

WX = 8 mm

Step-by-step explanation:

To be able to solve for WX, we need to first find the size of angle \angle z.

We use the law of sines in the blue triangle to do such:

\frac{sin(z)}{11} =\frac{sin(133)}{20} \\sin(z)=\frac{11\,sin(133)}{20} \\sin(z)=0.4022

Now we can use this value in the larger right angle triangle where WX is the opposite side to angle  \angle z, and the 20 mm side is the hypotenuse:

sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm

which rounded to the nearest integer gives

WX = 8 mm

3 0
3 years ago
(Please Help) Drag a statement or reason to each box to complete this proof.
SOVA2 [1]

Answer:

see the explanation and the attached figure

Step-by-step explanation:

we have

-2(x+1)=8 ----> given

Divide by -2 both sides

-2\frac{(x+1)}{-2} =\frac{8}{-2} ----> by Division Property of Equality

Simplifying

x+1=-4

Subtract 1 both sides

x+1-1=-4-1 ----> by Subtraction Property of Equality

Simplifying

x=-5

6 0
3 years ago
What’s the area of the triangle??
viktelen [127]
Note that one side is 20 ft, and the other is 16.

This means that the side that is part of the triangle is 4 ft.

The measurement is still the same for the triangle's height.

Find the area of the rectangle:
24 x 16 = 384
Find the area of the triangle:
4 x 24 = 96

Add the two numbers together:

384 + 96 = 480

You're answer is (C)

hope this helps
5 0
3 years ago
Read 2 more answers
What is the solution of the equation n/10 = 7?<br><br>n= ____​
ozzi

Answer:

n = 70

Step-by-step explanation:

n/10 = 7

Multiply each side by 10

n/10 *10 = 7*10

n = 70

3 0
2 years ago
Read 2 more answers
Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the
Dominik [7]
G=37

Angle ACD and angle DCB are a linear pair. Meaning they are supplementary.

ACD=90 degrees

180-90=90

90 degrees equals the angle of DCB.

90-53=37

So g=37
3 0
3 years ago
Other questions:
  • A statistician wishing to test a hypothesis that students score at least 75% on the final exam in an introductory statistics cou
    7·1 answer
  • The figure shows ∆ABC inscribed in circle D. If m ∠CBD = 25°, find m ∠BAC, in degrees.
    12·1 answer
  • A triangle cannot be both
    8·1 answer
  • (6x+3)(-5x-6) <br><br> i need 20 more characters so i'm typing this
    6·1 answer
  • Which of the following is a perfect cube?<br> A. 243<br> B. 143<br> C. 443<br> D. 343
    10·2 answers
  • What is the measurements of the circle?​
    14·1 answer
  • Jake opened up an account with $300 and
    14·2 answers
  • Determine whether the function are inverse. F(x)=6x+l;g(x)=6x-1
    13·1 answer
  • Pleaseeeeeeeee<br> help me
    14·1 answer
  • 1.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!