Hello!
First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.
4(8)=32
32/2=16
Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A=
r².
We know that the diameter of this circle is eight. Therefore our radius is 4.
A=
²
A=
Now we multiply.
16
≈50.27
Now we add our triangle.
50.27+16=66.27
The nearest answer to this is B)66.2. It may have been a bit over as we used
, not 3.14.
I hope this helps!
Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function

Have a look at the attached graph.
- The red portion represents the graph of the function
.
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is indeed a function.
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is a one-to-one function, as there is only one x-value for each y-value.
Therefore, we conclude that the function is one-to-one.
1/4(6 + 2c) > 3
0.25 (6+ 2c) > 3
1.5 + 0.5c > 3
0.5c > 1.5
c > 3
Or multiply both sides by 4 to get rid of the 1/4,
6 + 2c > 12
2c > 6
c >3
Well it's a dare so I guess I'll do it.