to make the proportion we make the ratio of the similar sides
For example
4/8 = 12/x
or we can write it as 4/12 = 8/x
or 12/x = 4/8
So last option is correct
D as you can see on the number line d is 1/3 of the way to -2
Answer:
Step-by-step explanation:
<h3><u>Given:</u></h3>
y = 12 cm
θ = 24°
Using trigonometric ratio, tan.
![\displaystyle \boxed{tan \theta = \frac{opposite}{adjacent} }\\\\tan \ 24 = \frac{x}{12} \\\\0.445 = \frac{x}{12} \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 \times 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7Btan%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%7D%5C%5C%5C%5Ctan%20%5C%2024%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20%5C%5C%5C%5C0.445%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20%5C%5C%5C%5CMultiply%20%5C%2012%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C0.445%20%5Ctimes%2012%20%3D%20x%5C%5C%5C%5C5.3%20%3D%20x%5C%5C%5C%5Cx%20%3D%205.3%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
For this case we have:
Let a function of the form 
By definition, to graph 
, where 
, we must move the graph of f (x), h units to the left.
We observe that the red graph has the same form as the black graph, but it is displaced "h" units to the left.
It is observed that 
So, if the black graph is given by, the red graph is given by: 
Answer:
Option A
Answer:
C
Step-by-step explanation:
Absolute value makes anything in it positive, as distance from 0 can only be positive. So if we apply that to every term, we can find the answer.
For a, simplify and it becomes 15>19. That's false
For b, simplify and it becomes 16<13. Also false
For c, simplify and it becomes 15>12. True
For d, simplify and it becomes 12<8. False
For e, simplify and it becomes 19>20. Very False.
So the only true one is C. So C is the answer.
Hope this helped.
