Answer:
A.
Step-by-step explanation:
Not sure how to show work; it's intuitive.
Think about it like this.
When x gets infinitely large, we want to know if the y-value gets larger or smaller.
Given this function, we know that f(x) approaches negative infinity when x gets larger because -(∞)³ would just be a really big negative number. (I'm plugging ∞ in for x because it just represents the idea that x is getting infinitely large.)
Similarly, we know that f(x) approaches positive infinity when x gets infinitely negative because -(-∞)³ would be a really big positive number; the negatives cancel out. (Again, I'm plugging ∞ in for x because it represents the idea that x is getting infinitely negative.)
Another way you could think about it is to visualize a negative cubic function. One end goes up and the other goes down. You know from algebra that when cubic functions are negative, they get bigger on the left and smaller on the right; this gives you the same answer.
Answer:
858
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
You can split it down the middle to form 2 right triangles. Then, use the rules of sin, cosin, and tan to figure out the length of the sides.
You have the bottom side is 9 (because you split the original triangle in half, so 18/2 = 9) and that the angle next to that side is 35. You are trying to find the hypotenuse because that will help you find the perimeter.
You can use cosin(angle) = adjacent/hypotenuse
you have:
angle = 35
adjacent = 9
hypotenuse = unknown, call it x
So you can plug those values into your equation and you would have:
cosin(35) = 9/x
Rearranging the terms, you have:
x = 9/cosin(35)
Put this in a calculator and you will get x = about 11
To find the perimeter, just do 11 + 11 + 18 = 40 feet
I believe this is the question: "Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH represents the actual walkway. ABCD is similar to EFGH. Two irregular similar quadrilaterals ABCD and EFGH are drawn. AB measures 5 inches, BC measures 4 inches, CD measures 4 inches and AD measures 3 inches. EF measures 45 feet. What is the total length, in feet, of the actual walkway?"
We should determine the ratio(proportionality) of the two similar quadrilaterals. Since AB corresponds to EF, AB=5, EF=45, we know that the side lengths of EFGH is 45/5=9 times those of ABCD. The perimeter of ABCD=5+4+4+3=16 feet, so the perimeter of EFGH, the actual pathway, is 16*9=144 feet.
