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3 years ago

State the common difference for the given A.P.3/2,1/2,-1/2,-3/2,......

Mathematics

1 answer:

a_sh-v [17]3 years ago

8 0

Answer:

-1

Step-by-step explanation:

The common difference is the constant amount of change between the numbers in an arithmetic sequence.

To find the common difference, you take the last term and subtract it by the previous term.

$\frac{-3}{2} - \frac{-1}{2} =-1$

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leonid [27]

Answer:

AB = 7.07 units

BC = 8.06 units

AC = 12.04 units

Step-by-step explanation:

To find the length for each side of the triangle, apply the distance formula between each pair of vertices.

AB

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(2--3)^2 + (1-6)^2} \\d = \sqrt{(5)^2 + (-5)^2} \\d = \sqrt{25 + 25} \\d = \sqrt{50} \\d=7.07$

BC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9-2)^2 + (5-1)^2} \\d = \sqrt{(7)^2 + (4)^2} \\d = \sqrt{49 + 16} \\d = \sqrt{65} \\d=8.06$

AC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9--3)^2 + (5-6)^2} \\d = \sqrt{(12)^2 + (-1)^2} \\d = \sqrt{144 + 1} \\d = \sqrt{145} \\d=12.04$

4 0

3 years ago

Identify the percent, amount, and base in this problem.

Maksim231197 [3]

Percent = 75%
base = unknown ...the base is the number that follows " of "
amount = 30

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3 years ago

The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities t

Fofino [41]

Answer:

Step-by-step explanation:

Required

Represent the relationship between population of girls and boys

From the question, we have that

$Boys = x\\Girls = y$

Given that y is greater than x in the classroom;

One of the keywords in the given data is "Greater than"

The inequality to represent the system is the greater than sign;

In other words, >

Bringing x, y and > together to form a complete inequality; we have

$Girls > Boys$

Replace Girls with y and Boys with x

$y > x$

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3 years ago

Two numbers have theses properties . both numbers are greater than 6 . their hcf = 6 . their lcm = 60. what are the two numbers

aleksandrvk [35]

Let the numbers be x and y.
x*y=HCF*LCM=6*60=360
thus
y=360/x
next we find the list of combinations of x and y and test if they satisfy the conditions above:
(6,60),(12,30),(18,20),(24,15)
out of the above, only (6,60) and (12,30) satisfy both conditions. Thus our answer is:
(6,60) or (12,30)

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3 years ago

Arnetta’s monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. What is her

Westkost [7]

Answer:

Step-by-step explanation:

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3 years ago

State the common difference for the given A.P.3/2,1/2,-1/2,-3/2,......​

State the common difference for the given A.P.3/2,1/2,-1/2,-3/2,......