Answer:
Step-by-step explanation:
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Answer:
The coordinates of the reflected triangle are
,
and
.
Step-by-step explanation:
Let be a point
, reflections across x- and y-axes are represented by the following operations:
x-Axis reflection:



y-Axis reflection:



If we know that
,
and
, the coordinates after both reflections are, respectively:



The coordinates of the reflected triangle are
,
and
.
Answer:

Step-by-step explanation:
The exponential model for the population in t years after 2013 is given by:

In which P(0) is the population in 2013 and r is the growth rate.
In 2013, the moose population in a park was measured to be 5,100
This means that 
So

By 2018, the population was measured again to be 5,200.
2018 is 2018-2013 = 5 years after 2013.
So this means that
.
We use this to find r.







So the equation for the moose population is:

Hey there! I was looking at your question for a bit then realized you meant
, the imaginary number, not "1" at the end of each number.
- Complex numbers are numbers involving both real and imaginary numbers; thus, this question wouldn't make much sense without the imaginary number

The expression we are given is:

Open parenthesis and combine like terms:


This is answer choice B (assuming it's supposed to be an
and not a "1" at the end)
Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
Point B
Step-by-step explanation:
Lines given:
- y= 2/5x - 1/2
- y= -1/3x +2/3
x coordinate of intersection of given lines is:
- 2/5x - 1/2= -1/3x+2/3
- 2/5x+1/3x= 2/3 +1/2
- 6/15x+5/15x= 4/6+3/6
- 11/15x=7/6
- x= 7*15/11*6
- x= 35/22
For this value of x, the value of y is:
- y= 2/5*35/22 - 1/2
- y=14/22- 1/2
- y= 3/22
As per graph point (35/22, 3/22) is point B