we are given a function
First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as
Here, it is vertically stretch by 7
so, we get
Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as
Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get
.............Answer
The 1st and 3rd choices are irrational. The other 2 are rational. Irrational numbers are numbers that you can't make a simple fraction out of.
Looking at the figure, we can see that both triangles are right triangles. Therefore, we can apply pythagorean theorems. A right triangle contains a hypotenuse, which is the longest side. In the figure, that would be sides with length 4 and 12. The equation for this is:
c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides
To determine z:
4 = √(z^2 + 3^2)
z = 2.65
To determine x:
12 = √(x^2 + 6^2)
x = 10.39
Answer:
True
Step-by-step explanation:
Let's take a problem such as 3x-2=6
To isolate the variable, you must get rid of everything on one side and essentially do the inverse to the other side. We see -2, so you have to add 2 to each side.
Now you have 3x=8
Next, we device each side by 3. Right now, x is being multiplied by 3 so we have to do the inverse.
Answer is x = 8/3 or 2.666666666666667
