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
Yanka [14]
2 years ago
8

If 24, x, and 6 form the first three terms of an arithmetic sequence

Mathematics
1 answer:
AveGali [126]2 years ago
7 0
<h3>Answer:  15</h3>

===============================================

Work Shown:

d = common difference

p = first term = 24

q = second term = a+d = 24+d

r = third term = q+d = 24+d+d = 24+2d = 6

------------

Solve for d

24+2d = 6

2d = 6-24

2d = -18

d = -18/2

d = -9

We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.

------------

First term = 24

Second term = 24-9 = 15

Third term = 15-9 = 6

We get the sequence 24, 15, 6

You might be interested in
What is the y-intercept of the line -7x-5y=-45?
Goshia [24]

Answer:

The y-intercept is at the point (0, 9).

Step-by-step explanation:

WE have the y intercept when x = 0:

-7(0) - 5y = -45

-5y = -45

y = -45/-5 = 9.

7 0
3 years ago
Read 2 more answers
Solve for x <br> -2^2(-5x+10)=100
masha68 [24]

Answer:

x=7

Step-by-step explanation:

Hi there!

-2^2(-5x+10)=100

Solve -2^2:

-4(-5x+10)=100

Divide both sides by -4:

\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25

Subtract 10 from both sides:

-5x+10-10=-25-10\\-5x=-35

Divide both sides by -5:

\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7

Therefore, x = 7.

I hope this helps!

3 0
3 years ago
Multiple Response: Please select all correct answers and click "submit."
Serhud [2]
E. Line.......! <---------->
8 0
3 years ago
Hi! I just need somebody to explain how this is done.
iren2701 [21]

Answer:

Exact form: x = \frac{10.8}{sin(57)}

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

<em>In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle</em>

In the given figure

∵ ∠C is the right angle

∴ ΔACB is a right triangle

∵ m∠B = 57°

∵ AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

∵ AB = x

→ We can use the function sine to find x

∵ sin∠B = \frac{opposite}{hypotenuse}

∴ sin∠B = \frac{AC}{AB}

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = \frac{10.8}{x}

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

∴ x = \frac{10.8}{sin(57)}

∴ x = 12.87752356

→ Round your answer to the nearest tenth

∴ x = 12.9

Exact form: x = \frac{10.8}{sin(57)}

Rounded to the Nearest Tenth: x = 12.9

3 0
3 years ago
Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given object funct
Dmitrij [34]
Refer to the figure shown below.

The feasible region that satisfies all the constraints is the shaded region.
The bounding vertices are
A (0, 3)
B (0, 0)
C (5, 0)
D (1.5, 3.5)

All the functions that define the constraints are either linear or constant.
The maximum value is at vertex D, and equal to 3.5.

3 0
3 years ago
Other questions:
  • Write an expression to represent:<br> One minus the product of four and a number x
    11·2 answers
  • 11+(20-13) evalute question
    13·2 answers
  • 4.4 x 10 to the negative fifth power is what in standard form
    8·1 answer
  • What two numbers add to 8 and multiply to 28
    8·1 answer
  • The ratio of girls to boys in a gardening club was 2:5. There were 10 girls. How many boys were there in the club?
    8·1 answer
  • How many meters are equivalent to 400 centimeters???
    8·2 answers
  • Can someone help me pls
    11·2 answers
  • What is the value of (0.6)^3 ?
    14·1 answer
  • The function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit
    10·1 answer
  • I will give you a Brainliest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!