A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]
To find the length of a line given two points, we are going to use the distance formula, which is defined below:
( and are the two points)
The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:
- Substitute values into formula
- Combine like terms and then simplify to 0
- Compute
- Compute
The length of DC is 3.
Answer:
2) a.
2) b.
Step-by-step explanation:
2) a. Fraction can be written as ....... (1)
Again, fraction can be written as ........ (2)
Now, comparing expressions (1) and (2) we can say
i.e.
2) b. Fraction can be written as ....... (3)
Again, fraction can be written as ........ (4)
Now, comparing expressions (3) and (4) we can say
i.e.
i.e. {Since multiplication with a negative number on both sides of an inequality will change sign of the inequality.}
i.e.
(Answer)
Solution: Karim has to do the below calculation using the calculator:
We know that the correct answer of this calculation is:
But Karim has entered one of the digits of 3250 incorrectly and he has got the answer 900 more than the correct answer.
Therefore, Karim has got
Let x be the number that Karim entered instead of 3250. Therefore, we have:
So it means Karim has entered 3550 instead of 3250. Hence, he has entered digit 2 incorrectly.
Therefore, the option d. 2 is correct
The slope is -3, the line is going down by 3