Answer:
in order to find the area, we should break up the figure. you can see that in the image we have a quarter of a circle and a square. here are the areas for each of these shapes
square:
circle:
but since we only have a quarter of this circle we need to divide the area by 4 so the formula becomes
now we can plug in our numbers
we are given 6 m for our radius or length of square
the square will be (6)^2 = 36 m^2
now onto our circle
π(6)^2/4 = 28.26 m^2
now add these two shapes together to find the total area = 64.26 m^2
Answer:
B. 12
Step-by-step explanation:
✔️Find the value of x
The side lengths of two similar triangles are always proportional.
Given that ∆ABC ~ ∆LMN, therefore:
AB = 5
LM = 10
AC = x + 5
LN = 3x + 3
Plug in the values
Cross multiply
(distributive property)
Collect like terms
Divide both sides by 5
x = 7
✔️Find AC
AC = x + 5
Plug in the value of x
AC = 7 + 5
AC = 12
We have been given a graph of function g(x) which is a transformation of the function
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
