Answer:
the correct answer is b.
Step-by-step explanation:
it is b because if you plug in -7, two of the x-values will have -7 making the x-values the same and in order to be a function all x-values have to be different.
First integral
Since 
is a linear function, its graph is a line. This means that you can decompose the area under its graph as the sum of a right triangle and a rectangle, as shown in the attached image.
All the dimensions are fairly easy to deduce: we have
So, the area of the triangle is
For the rectangle, we have
So, the total area is 
Second integral
We have
So, this function is the upper half of the unit circle (the two halves are the functions 
)
Since the area of the unit circle is 
, the value of the integral is 
Third integral
It follows the exact same logic as the first one, you only have to adjust the numbers.
9514 1404 393
Answer:
41.1
Step-by-step explanation:
A triangle solver can do this nicely. b ≈ 41.1
__
You can use the law of cosines for the purpose.
b² = a² +c² -2ac·cos(B)
b² = 120² +110² -2(120)(110)·cos(20°) ≈ 1692.1148
b ≈ √1692.1148 ≈ 41.13532
The missing side is b ≈ 41.1 units.
Answer:
The equation would be y = 2x - 8
Step-by-step explanation:
The equation of the line would have a slope of 2, since parallel lines have the same slope. We can use that and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 2 = 2(x - 3)
y + 2 = 2x - 6
y = 2x - 8
Answer:
197.5 mph.
Step-by-step explanation:
If flying with wind a small plane flew at 410 miles and 380 miles then the next step is to divide both speeds by two. This way you get the mph. So now it is 205 mph and 190 mph. Now we find the average of these two numbers and you get 197.5 mph.
