The answer is 24 square units
Answer:
Part A: The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is 1/3. This is because triangle P'Q'R is smaller than PQR by 1/3
Part B: The coordinates after P"Q"R" are P"(1, -2) Q"(0, -3) R"(-1, 0)
Part C: No the triangles are not congruent because they are not the same size. If there wouldn't have been a dilation or reflection then it would've been congruent.
Step-by-step explanation:
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Answer:
<u>Point-slope form: y-9 = -3(x - 6)</u>
<u>Standard form: y = -3x+27</u>
Step-by-step explanation:
The point-slope form equation is y - y1 = m(x - x1). Because we are trying to find the equation that passes through (6,9), use these values as x1 and y1. In this equation m is the slope and we are also given that the slope is -3. This means that the equation in point-slope form is y-9 = -3(x - 6).
If it is asked for the equation in standard form, some simple moving of terms can accomplish that. Multiply out the -3 and get y-9 = -3x + 18. Add 9 to both sides to get a final answer of y = -3x+27.
1) 
2) 
Step-by-step explanation:
Solving the equations using quadratic formula.
1) 
The quadratic formula is:

where a =3, b = -1 and c= -6
Putting values:

2) 
The quadratic formula is:

where a =-5, b = 7 and c= 3
Putting values:

Keywords: Solving Using Quadratic Formula
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0 duh because -6 is 6 before zero so if u add 6 u get 0