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Answer: Choice A) e^c = 4</h3>
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In general if we had something like x = ln(y), then it is equivalent to e^x = y or y = e^x. The Ln is a natural log that is the inverse of the base e exponent. It's a special kind of log.
In this case, x = c and y = 4
So we go from c = ln(4) to e^c = 4
note: Logs are often used to solve for equations with variables in the exponent.
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = 
( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = 
← equation of variation
When x = 5 and z = - 5, then
y = 
= 
= 36
The line from (7, 1) to (-2 10) is a radius of the circle.
Its length is the square root of [ (-2 - 7)² + (10 - 1)² ] = √(81 + 81) = √162
The equation of the circle is: (x- 7)² + (y - 1)² = 162
Answer: 20.25 m
Step-by-step explanation: To find the area of a triangle, use the formula (b•h)/2. Using this formula, substitute the numbers:
(9•4.5)/2
Then solve.
40.5/2
20.25
Answer:
84; 30 and 54
Step-by-step explanation:
9x-5x=24
4x=24
x=6
5*6=30
9*6=54
30+54=84
