6 + (-4) —> 6 - 4 = 2
(-8) + (-14) —> (-8 + (-14)) —> -(8+ 14) —> -(22) = -22
(-12) + 5 —> (-12 + 5) —> -(12-5) —> -(7) = -7
Answer:
Option C - 2(-5)+2(3) ; -4
Step-by-step explanation:
Distributive property means breaking up the factors and multiplying them separately
So here we have 2(-5+3) = 2(-5)+2(3) = (-10)+(6) = (-4)
So (-4) is the value.
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Answer:
A. The scale factor is three.
B. Nine copies of ABCD could fit in A'B'C'D'.
Step-by-step explanation:
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Part A:
The distance between two points can be calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Each of the point may take the 1st or the 2nd coordinates. Substituting the known values,
d = sqrt ((23 - 2)² + (3 - 24)²)
d = 21√2
d = 29.7
Part B:
We get the angle between the lines generated from points and the origin.
Angle 1: θ = tan⁻(3/23) = 7.43°
Angle 2: θ = tan⁻(24/2) = 85.24°
Subtracting the values,
Angle = 77.8°
Thus, the polar coordinate is (29.7, 77.8°).