The point A(-1, 4) is translated five units right and three units down. Which rule describes the translation?
1 answer:
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and h(x)= 2x-8
g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
Answer: m∠E = 55°
Step-by-step explanation: If a triangle has two equal sides, it is called Isosceles. Another characteristics of this type of triangle is that the angles opposite the equal sides are also congruent.
Triangle ΔEFG has two sides with approximately the same length:
≈
So, it is an isosceles.
Therefore the opposite angles are m∠E and m∠F.
m∠E = m∠F
m∠E = 55°
Angle at vertex E is 55°.