Answer:
see explanation
Step-by-step explanation:
73.
18 = 3x
(divide both sides by 3 )
6 = x
( multiply both sides by
)
6
= 3x [
×
= 3 ]
divide both sides by 3
x = 2
74.
24 = 2x
( divide both sides by 2 )
12 = x
( multiply both sides by
)
12
= 2x ( divide both sides by 2 )
x = 6
75.
9
× x = 18
( divide both sides by 9
)
x = 2
76.
2 = x ×
( multiply both sides by
)
2
= 4x ( divide both sides by 4 )
x = 
Answer:
-7/2 is the slope. -10.5 is your starting point on the y-axis. You go from -10.5, up 7 and over to the left 2 times because it's negative.
Step-by-step explanation:
-7x-2y=-21
-2y=7x-21
y=-7/2x-21/2
y=-7/2x-10.5
Hope this helps!
You would use distribution. So, in this case, it would be 10a - 50. You use -10 to multiply -a and 5, and you get 10a, and -50.
The starting weight of the radioactive isotope = 96 grams
Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams
After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.
This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.
Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.
So,
Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5
The general equation of the sequence will be:

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.
We can plot the sequence using the above equation. The graph is attached below.
Acute: The angle is LESS than 90 Degrees
Obtuse: The angle is MORE than 90 Degrees
Right: The angle is EXACTLY 90 Degrees