equivalent fractions are fractions which have the same value.
equivalent fractions all have the same simplified form
we can write equivalent fractions by multiplying both numerator and denominator by the same number. We can also write equivalent fractions by dividing both numerator and denominator by the same number
so 5/10
we can get the equivalent fractions by multiplying by a common number
when we multiply by 2
when we multiply by 3
when we multiply by 4
the three equivalent fractions are
10/20 , 15/30, 20/40
The expression of function g(x) is
<h3>How to determine the expression?</h3>
The function is given as:
When the function is stretched horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:
When the function is shifted left by 1 unit, the rule is:
f"(x) = f(x + 1)
So, we have:
When the function is shifted up by 3 units, the rule is:
g(x) = f"(x) + 3
So, we have:
Hence, the expression of function g(x) is
Read more about function transformation at:
brainly.com/question/13810353
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Answer: 12.16
Step-by-step explanation:
1.
Since ABCD is a rectangle, then
angleABE = 90 degrees
angle ABE + angle BEA + 41 = 180
Substitute the known and solve for angle BEA
angle BEA + 41 = 90
angle BEA = 49 degrees
But,
x + angleBEA + 61 = 180 (angles in a straight line)
x = 180 - 61 - 49
x = 70 degrees
2.
triangle XYZ is equilateral, meaning all angles in it are the same, each 60 degrees.
Therefore,
Angle YZX = 60
But Angle YZX = x + 32 (exterior angles equal to the sum of the two opposite interior angles)
60 = x + 32
Therefore,
x = 28 degrees
3.
Angle QPR = Angle QRP (equal oppo sides, equal opposite angles)
Therefore, 2angleQRP + 64 = 180 (angle sum of a triangle)
Angle QRP = 58 degrees
But angle QRP = x + 35 (exterior angles equal to the sum of the two opposite interior angles)
58 = x + 35
x = 23 degrees
The answer is (C) because you multiply each point by 1.5.