<span>The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis
If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.
You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.
Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.
So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.
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Answer:
57.5 mi
Step-by-step explanation:
1 in = 5 mi
11.5 × 5 = 57.5 mi
Answer: 32°
Step-by-step explanation: see photo
Answer:
a)
, b)
, c)
, d) 
Step-by-step explanation:
a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

b) The general solution is found after separating variables and integrating each sides:

Where
is the time constant and 
c) The time constant is:


The particular solution of the differential equation is:

d) The amount of radium after 300 years is:

Answer:
D) x = -12 or x = 2
Step-by-step explanation:
The given quadratic equation is:

When y=0, we obtain:

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

We factor by grouping to obtain:


Either
or 
Either
or 