(x-8, y+2).
When translating figures, a translation to the right subtracts from the x-coordinate (sort of the opposite of how we think of graphs that go to the right). Translations up would be adding to the y-coordinate.
Answer:
x = 5 and -6
Step-by-step explanation:
Using the intersecting chord theorem which states that the products of the lengths of the line segments on each chord are equal.
Hence:
let
a = 6, b = 5, c = x+1 and d = x
Therefore, ab = cd
6*5 = x(x+1)
30 = x²+x
x²+x - 30 = 0
x²+ 6x - 5x - 30 = 0
x(x+6) - 5(x+6) =0
(x-5)(x+6) = 0
x-5 =0 and x+6 = 0
x = 5 and -6
Answer:
graph attached
Step-by-step explanation:
A graph is a pictorial representation that represent the relationship between two or more things.
Cosine function is periodic with period
. If the point
lies on the graph, point
will also lie on the graph where k is any integer.
Here,
![cos(x-\pi )=cos[-(\pi -x)]=cos(\pi -x)=-cos x](https://tex.z-dn.net/?f=cos%28x-%5Cpi%20%29%3Dcos%5B-%28%5Cpi%20-x%29%5D%3Dcos%28%5Cpi%20-x%29%3D-cos%20x)
Answer:
$84.75 over budget
Step-by-step explanation:
Barts' budget is 285.75
Bills: 240 + 130.50 = $370.50
(subract by his budget)
370.5 - 285.75 = $84.74
:)
Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:



At the 13th day, the mass is given by:

More can be learned about exponential functions at brainly.com/question/25537936