Line segment cd has a length of 3 units. it is translated 2 units to the right on a coordinate plane to obtain line segment c’d. what is the length of c’d.

C'D'=3 units

Step-by-step explanation:

we know that

The translation of a segment does not modify its length

so

The length of the segment CD and the length of the segment C'D' are equal

therefore

C'D'=3 units

Verify

Let

The coordinate of point C equal to x1 and the coordinate of point D equal to x2

so

The length of segment CD is equal to

CD=x2-x1=3

The rule of the translation is

x > x+2

The new coordinates will be

C'=x1+2

D'=x2+2

The length of segment C'D' is equal to

(x2+2)-(x1+2)=(x2-x1)=3 units

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

29.5977692753

step-by-step explanation: