The flags are a translation. Both flags are located at different origins, so it couldn't be a rotation. Both flags have the colors in the same place ( black on the bottom, white on the top) so one flag was moved up or down from the other flag, which is a translation.
Answer: 27 dogs were seen at the clinic on monday.
27/45 = 0.6
0.6 = 60%
We want to solve 9a² = 16a for a.
Because the a is on both sides, a good strategy is to get all the a terms on one side and set it equal to zero. Then we apply the Zero Product Property (if the product is zero then so are its pieces and Factoring.
9a² = 16a
9a² - 16a = 0 <-----subtract 16a from both sides
a (9a - 16) = 0 <-----factor the common a on the left side
a = 0 OR 9a - 16 =0 <----apply Zero Product Property
Since a = 0 is already solved we work on the other equation.
9a - 16 = 0
9a = 16 <----------- add 16 to both sides
a = 16/9 <----------- divide both sides by 9
Thus a = 0 or a = 16/9
25 pens is better because if you see the cost of one it will be cheaper
Answer:
x = 1/2 and 3/2
Step-by-step explanation:
The given equation is logₓ (8x-3) - logₓ 4 = 2
Then we have to determine the value of x.
logₓ ![[\frac{(8x-3)}{4}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%288x-3%29%7D%7B4%7D%5D)
= 2 [ since log a - log b = log 
]
Now 
[if 
b = c then 
= b]
4x² = 8x -3
4x² - 8x + 3 = 0
(2x)² - 2(4x) + (4-4) + 3 = 0
[(2x)² - 2 (4x) + 4 ] - 1 = 0
(2x - 2)² = 1
(2x - 2)² = ± 1 ⇒
2x - 2 = 1 and 2x - 2 = -1
x = 3/2 2x = 1
x = 1/2
Therefore, x = 1/2 and 3/2 are the answers.
