24/5
I think this is the right answer, hope this help
Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) = 
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k = 
Since, k is between 0 and
, function f(x) is vertically compressed by a scale factor
.
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) = 
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.
The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>
A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
Learn more about parallelogram on:
brainly.com/question/3050890
#SPJ1
Answer:
y = -1.0
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 4y and subtract 14 from both sides:
1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)
1y + 4y = 9 - 14
Combine like terms:
5y = -5
Isolate the variable, y. Divide 5 from both sides:
(5y)/5 = (-5)/5
y = -5/5
y = -1
y = -1 is your answer.
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Noon is 12, I'm guessing you mean both of these at am, or both at pm. 12-3 is 3 hours, but there's 5 extra, so the elapsed time would be 3:05.