Answer:24 feet
Step-by-step explanation:
Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ
We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6
From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6
Answer:
9/-24 or ~ -0.38
Step-by-step explanation:
x y
3 9
12 -15
from 9 to -15 it will be subtracting 24
From 3 to 12 it will be adding 9
y/x = 9/-24 or -0.375 ~ -0.38
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x-----> the total number of guests
y -----> the amount of meat
we know that
The inequality that represent this situation is equal to
Note The inequality is "greater than or equal" because the given statement say "at least"
The solution of this inequality is the shaded area above the solid line 
The slope of the solid line is positive
The y-intercept of the solid line is -2
The x-intercept of the solid line is 6
therefore
The graph in the attached figure
Remember that
The values of x an y cannot be a negative number
To solve this problem you must apply the proccedure shown below:
1. You have the following expressions shown in the problem above:
(<span>8m^2-6/n+3) + (9m^2-4/n+3)
2. As you can see, they have equal denominators, then you have:
(</span><span>8m^2-6+ 9m^2-4)/(n+3)
</span><span>
3. Therefore, when you sum, you have the following result:
(17m</span>²-10)/(n+3)
<span>
The answer is: </span> (17m²-10)/(n+3)<span>
</span>