A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates $A(1,-1)$ , $B\left(1,-2\right)$ , and $C(2,-1)$ represent House A, House B, and House C. The planner decides to place a playground centered at the origin, and moves the houses to make space. House A is now located at $A'(3,-4)$ . What are the new coordinates of House B and House C when each house is moved using the same translation?

Step-by-step explanation:

o get from home to her friend Addison's house, Tina would have to walk 8 kilometers due north. To get from home to her friend Baldwin's house, Tina would have to walk 6 kilometers due east. What is the straight-line distance between Addison's house and Baldwin's house?

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.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

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{

y

|

y

≤

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,

y

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}

step-by-step explanation:

answer: approximately 206 bones

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