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:
if 
Step-by-step explanation:
Recall some following basic ideas about absolute value:
or I guess 

or just
but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at
alone for a second.
*
if
is positive or zero.
When is
positive or zero? [greater than or equal to 0]

Subtract 3 on both sides

*
if
is negative or zero.
When is
negative or zero? [less or equal to 0]

Subtract 3 on both sides

So looking at the bullet points (the *),
fits into the first inequality.
Therefore,
.
Answer:
63 yellow marbles
Step-by-step explanation:
You can set up this equation as a proportion:
7/5 = x/45
Divide 45 by 5 to see what 7/5 must be multiplied by to get to x/45.
You should get 9, so also multiply 7 by 9 to get this:
7/5 = 63/45
This shows that there are 63 yellow marbles for 45 green marbles.
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34 + 18
the tree grew 18 ft taller meaning (+18)
add the two numbers to get
52 feet.
9514 1404 393
Answer:
f(-5) = -81
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
f(-5) = -(-5)^2 +10(-5) -6
f(-5) = -25 -50 -6
f(-5) = -81