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ruslelena [56]
3 years ago
9

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.

<u>AB</u>

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

<u />

<u>BC</u>

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

<u />

<u>AC</u>

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]
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3 0
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

<em>Given that y is greater than x in the classroom;</em>

<em>One of the keywords in the given data is</em><em> "Greater than"</em>

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

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5 0
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
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y=360/x
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6 0
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:

c

Step-by-step explanation:

8 0
3 years ago
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