Answer: Value of w is 4 units and the equation is correct.
Step-by-step explanation:
Let width of a rectangle be 'w'.
Let length of a rectangle be '2w+2'.
Since we have given that
Area of rectangle = 40 square units.
As we know the formula for "Area = Length × Breadth" :
So, it becomes,
But dimension can't be negative.
So, w must be 4 units.
Hence, Value of w is 4 units and the equation is correct.
B. 12
C. 16
D. 18
Answer:
18
Step-by-step explanation:
Answer:angle a is about 85.57°
Step-by-step explanation:
Since they are complimentary, their sum equals 90° (6x+29+x-5=90°). You use this equation to find the value of x, which is ~ 9.428. After finding the value of x you plug it back in into a’s equation to find the value of a.
Answer:
Option C.
Step-by-step explanation:
First, let's define the transformations used here:
We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:
Horizontal shift:
For a general function f(x) an horizontal shift of N units is written as:
g(x) = f(x + N)
where:
If N > 0, the shift is to the left
if N < 0 , the shift is to the right.
Reflection across the x-axis.
For a function f(x), a reflection across the x-axis is just written as:
g(x) = -f(x)
So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:
g(x) = -f(x) (only for the reflection)
g(x) = -f(x - 1) (for the reflection and the shift)
Then the graph of the red function is:
y = -f(x - 1)
We can rewrite this as:
y = -1*f(x - 1)
dividing both sides by -1 we get:
y/-1 = f(x - 1)
This is what we can see in option C, so the correct option is C.