ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12
The radius (r) is 12.
Answer:
Im pretty sure it's 5.25 cups of flour
Step-by-step explanation:
so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy
For the equation
8/3=14/x
The cross product is
8*x=3*14
Solving for x
x=3×14/8
and reducing
x=5.25
Answer:
Find the places where the derivative is zero and the second derivative is positive.
Step-by-step explanation:
By definition, a function has a minimum where the first derivative is zero and the second derivative is positive.
That will be a "local" minimum if there are other points on the function graph that have values less than that. It will be a "global" minimum if there are no other function values less than that. A global minimum is also a local minimum.
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On a graph, a local minimum is the bottom of the "U" where the graph changes from negative slope to positive slope.
Answer:
A)
– 6x – 2x = 16
-8x = 16
x = 16/-8 = -2
B)
3(3x – 6) = 18
9x - 18 = 18
9x = 18 + 18 = 36
x = 36/9 = 4
C) ASSUMING YOU MADE AN ERROR BY WRITING 0 INSTEAD OF (
5(2x + 3) =-4(-5 – 2x)
10x + 15 = 20 + 8x
10x - 8x = 20 - 15
2x = 5
x = 5/2
12x =
To use the additive inverse to evaluate an expression that uses subtraction, change the sign of the number to positive
<h3>What is additive inverse?</h3>
Additive inverse is simply changing the sign of a number and then adding it to the original number to get an answer that is equal to 0.
The additive inverse of a number is another number
The additive inverse of number 3 is - 3
For an expression that uses subtraction, to use the additive inverse, change the sign of the number to positive
Thus, to use the additive inverse to evaluate an expression that uses subtraction, change the sign of the number to positive
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