Answer:
<u><em>All real numbers</em></u>
Step-by-step explanation:
<u><em>We can start out by knowing that</em></u><u><em> the domain of a graph is, the side, to side from the x axis directions. </em></u>
<u><em>We can see that the </em></u><u><em>line continues of the graph shown, meaning it is infinite. </em></u><u><em>Meaning the answer is </em></u><u><em>the domain is all real numbers.</em></u>
<u><em>We can double check by seeing that the other options don't work or aren't enough:</em></u>
<u><em /></u>
<u><em>The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is </em></u><u><em>"All real numbers"</em></u>
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
Substituting figures, we have:
Let's make h subject of the formula.
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
The Pythagorean theorem tells you
... a² + b² = c²
so
... a² = c² - b² = 16² - 9² = 256-81 = 175
... a = √175 = √(25·7)
... a = 5√7
Answer:
x=2
Step-by-step explanation:
18-2x+10=12x
-2x+18+10=12x
-2x+28=12x
subtract 28 from both sides= -2x=12x-28
subtract 12x from both sides= -14x=-28
divide both sides by -14= x=2
x=2 is your final answer
Answer: D, -1
First, plug in the value -1 for x in f(x) first.
can then be simplified to
because
. Next, put the value -1 for x in the equation g(x). This will look like
.
The final step is to evaluate f(x) divided by g(x). f(x) = 1/2 and g(x) = -1/2, so when divided, you get -1.
