Answer:
Angle CAB
Step-by-step explanation:
Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.
A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.
Here fixed point is P and angle is 100 degrees
The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.
In other words, by rotation here ABC will be similar to A'B'C'
Hence angles of ABC will remain equal to angles of A'B'C' in that order.
So m/_ C'A'B'=m /_CAB
Answer:
Option A , (0, 20); y equals one over eighty times x squared plus 20
Step-by-step explanation:
The equation of parabola is given by
(X-h)^2 = 4p(Y-k)^2
In this case h = 0
So we get
Y = X^2/4P +k
Focus point is (h, p+k) , p+k = 40
Hence h, k = (0,20)
P = 40-k = 20
Equation Y = X^2/80 +20
Hence, option A is correct
The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)
<h3>What is Greatest Common Factor?</h3>
The greatest common factor (GCF) is the largest factor two or more numbers have in common
From the question,
-2x^2-4x-6
By collecting like terms
-2(x^2-2x-3)
By factoring x^2-2x-3
-2(x^2-3x+1x-3)
Collecting like terms
-2(x^2-3x)+(x-3)
-2(x(x-3)+1(x-3))
-2(x+1)(x-3)
hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is
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The least common denominator is two
Answer:
a. x - 2y = 4
Step-by-step explanation:
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