Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
Answer:
∠LNM = 38°
∠M = 52°
Step-by-step explanation:
Here, ∠M = x
Let the measure of ∠LNM = ∠1
Now, ∠PNM + ∠1 = 180° (LINEAR PAIRS)
So, ∠1 = 180° - ∠PNM = 180° - 142°
= 38°
⇒∠1 = 38° , or ∠LNM = 38°
Now, in triangle LMN, by ANGLE SUM PROPERTY of a triangle
∠NLM + ∠X + ∠1 = 180°
or, 90° + x + 38° = 180°
⇒ x = 180° - 128° = 52°
Hence, the measure of x = 52° , or ∠M = 52°
To me personally, the first bit f(g(x)) is easy and the domain is tricky. Let's try explain this.
A function takes an input number and returns an output number depending on the function. Look at f(x) = x+3, if we let the input number be 2 then we say that f(2) = 5. We could do f(π) to give us π+3 or even f(x²) to give us x² +3. The trick is to substitute the input into the function equation.
You have been asked to find f(g(x)). You know f(x) =

. Putting numbers in at this point would be easy (try work out f(2), you'll do it really quick) but you have to put in g(x).
f(g(x)) =

we also know that g(x) =

so we can say that
f(g(x)) =

and that is f(g(x)) but the question requires that we simplify it so

f(g(x)) =

Now for the tricky bit (for me, at least). The domain is the full set of values that you can 'put in to' the function and still get a real value out. So how do we work out what numbers 'break' the function? I like to use the fact that DIVIDING BY ZERO IS IMPOSSIBLE. What value of x can we put into the function to make it so the function is being divided by 0? i.e. 1-2x = 0 solve that and you have a value of x that isn't part of the domain.
This means the domain is all real numbers EXCEPT the solution to that equation. (Because if we put that value into f(g(x)) it's impossible to get a value out.)
[I know this was a lot to read, if you have any questions or don't get anything feel free to message me or leave a comment.]
Answer:
The correct option is;
comparing plant survivorship in areas where hikers stay on the trail with plants where hikers leave the trail
Step-by-step explanation:
The hypothesis that the area formerly covered by known plants which is now bare soil due to trampling in the alpine areas by hikers can be tested by means of comparing the areas where during the cause of their visit, the hikers remain on the trail as they move within the park to other portion of the park where it is known that there are either very few or no hiker remain on the trail. The outcome will determine if the cause of the appearance of bare soil is due to the transit and trampling by hikers.
Answer:
-2 is a solution
Step-by-step explanation:
-2-5<8
-7<8