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Answer:</u></h3>
The formula determine the distance from C to D is:

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Step-by-step explanation:</u></h3>
The formula that can be used to determine the distance from point C to point D is:

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

So, here we have:
(a,b)=(a,b) and (c,d)=(0,b)
X and y are books
x is fiction
y=nonifiction
x+y=36
x=12+y
12+y+y=26
2y+12=26
minus 12
2y=14
divide 2
y=7
sub
x=12+y
x=12+7
x=19
nonfiction=7
Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
Answer:
-9xy+16x
Step-by-step explanation:
x(y-2) +3x(6-y) -7xy
Distribute
xy -2x +18x-3xy -7xy
Combine like terms
-9xy+16x
You are correct, the profit is modeled by:
-0.1t² + 6t + 67
We are also told that "t" is the number of years after 2010. So in 2016, the value of t will be 6. We substitute this into the equation we formed:
-0.1(6²) + 6(6) + 67
= 106.6 thousand dollars