All categories

3 years ago

If a,b,c are in arithmetic sequence then a = ...

Mathematics

2 answers:

andriy [413]3 years ago

8 0

Answer:

If a, b and c are in arithmetic progression, that means that a + c = 2b. So a + b, a + c and b + c are also in arithmetic progression.

This might help.

andrew11 [14]3 years ago

3 0

Answer:first term

Step-by-step explanation:

If a, b, c are in sequence then a is the first term

You might be interested in

Marizza181 [45]

Answer:

325 miles

Step-by-step explanation:

Given that,

A car travels 390 miles in 6 hours.

We need to find the distance travelled in 5 hours.

6 hours = 390 miles

1 hour = 65 miles

In 5 hours,

5 hours = (65×5) miles

= 325 miles

So, it will travel 325 miles in 5 hours.

3 0

2 years ago

Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0

Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16 - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1 (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

Learn more about ellipse here:

brainly.com/question/26679189

#SPJ1

8 0

2 years ago

You and your mom enter a drawing with 3 different prizes. A total of 9 people entered the drawing, and prizes are awarded random

julsineya [31]

Answer:

$\frac{1}{72}$

Step-by-step explanation:

We have been given that there are total 9 people who entered the drawing competition. There are 3 prizes to be distributed to the winners. The total number of ways that 3 prizes can be awarded to the 9 people can be determined as 9*8*7 = 504.

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*7 = 7.

Therefore, the probability that I win the first prize and my mom wins the second prize would be: $\frac{7}{504}=\frac{1}{72}$

5 0

3 years ago

Read 2 more answers

A printer takes 5mins to print 90 copies of a repor. At this rate, how many copies of the same report can it print in 1/2 hours

just olya [345]

I think it could print 540???

4 0

3 years ago

A particular brand of dishwasher soap is sold in three sizes: 25 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a

ss7ja [257]

Answer:

Please find solution in the picture attached

Step-by-step explanation:

4 0

3 years ago

If a,b,c are in arithmetic sequence then a = ...​

If a,b,c are in arithmetic sequence then a = ...