Consider the following set of equations:
2 answers:
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Answer:
117
Step-by-step explanation:
First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.
So to find the area of the rectangle, insert those variables into the area equation for a rectangle.
(RV + (X) ) (PT +(X)) = rectangle area
Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.
(RV + (X)) (PT + (X)) - [(X)(X)] = 92
rectangle - square = remaining area
Now plug in the numbers you know and solve for X.
(8 + X) (4 + X) - ((X)(X)) = 92
Use FOIL to multiply the first part of the equation (first, outer, inner, last)
32 + 8x + 4x + -
= 92
32 + 12x = 92
12x = 60
x = 5
So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117
Answer:
Check below
Step-by-step explanation:
1. Definition for intervals
2. Functions
1)
Let's perform graph tests.
That's an one to one, injective function. Look how any horizontal line touches that only once. Also, It's a surjective and a bijective one.
2)
Injective, surjective and bijective.
Injective: a horizontal line crosses the graph in one point.
3)
The cosine function is not injective, bijective nor surjective.
4)
Since e, is euler number it's a constant. It's also injective, surjective and bijective.
5) Quite unclear format
Despite the Restriction for the CoDomain, the function remains injective, surjective and therefore bijective.
Not injective nor surjective therefore not bijective too.
Injective (one to one), Surjective, and Bijective.
Surjective.
Surjective
12.f: US Citizens→Z, f(x) = the SSN of x.
General function
13.f: US Zip Codes→US States, f(x) = The state that x belongs to.
Surjective
