Answer:
A
Step-by-step explanation:
the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).
10² = a² + 5²
100 = a² + 25
75 = a²
a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)
3x-16x-24=-12x-30
-13x+12x=-30+24
-x=-6 /*(-1)
x=6
Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
<em>Question:</em>
<em>The digit 8 in which number represents a value of 8 thousandths?
</em>
Answer:
See Explanation
Step-by-step explanation:
The question requires options and the options are missing.
However, the following explanation will guide you
Start by representing 8 thousandths as a digit

i.e.
8 thousandths implies 0.008
Next;
Replace the 0s with dashes
_ . _ _8
Note that there are two dashes after the decimal point and before 8
PS: The dashes are used to represent digits
This implies that thousandths is the 3rd digit after the decimal point
Typical examples to back up this explanation are:
<em>17.008, 1.1489, 0.008 and so on...</em>
3(18 - x/3 = -7)
54-x = -21
-x = -75
x = 75