Answer:
2/π ≈ 0.637 m/s
Step-by-step explanation:
The rate of change of area with respect to time is ...
A = πr²
dA/dt = 2πr·dr/dt
Filling in given values in the above equations, we can find r and dr/dt.
25π = πr² ⇒ r = 5
20 = 2π·5·dr/dt
dr/dt = 20/(10π) = 2/π . . . . meters per second
The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.
To find the slope you use the equation:
m = (y₂-y₁) ÷ (x₂-x₁)
You plug in the two points into this equation to find m (m is the slope)
m = (1 - 0) ÷ (0 - 2)
m = 1 ÷ (-2)
m = - 1/2
Next you use this equation:
y = mx + b
Because you know m you plug it in.
y = -1/2x + b
Now you need to find b. To do so you plug in either of the points into this equation(you come out with the same answer for b)
y = -1/2x + b
1 = -1/2(0) + b
1 = b
Finally you plug in b and you get your new equation.
y = -1/2x + 1
Answer:
Positive thinking is all of mind also positive
Step-by-step explanation:
Answer:
Step-by-step explanation:
⅓x + 7 = -2
isolate the x term by subtracting 7 from both sides
⅓x = -9
Multiply both sides by 3
x = -27
The rationalized expression in general term is given by: (-8 -4√2) / 3
<h3>What is rationalization?</h3>
Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.
As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.
(8√2 / 6-3√8 ) Multiply by ( 6+3√8)/( 6+3√8)
(8√2 / 6-3√8 )( 6+3√8)/( 6+3√8)
8√2(6+3√8) / (6-3√8)² Expand the denominator using the FOIL method.
8√2(6+3√8) / (36 - 18√8 + 18√8 - 72)
8√2(6+3√8) / -36
48√2 + 24√2√8 / -36 ::::. √8 = 2√2
48√2 + 96 / -36
-12(4√2 + 8) / 12x3
(-8 -4√2) / 3 is the result.
Learn more about rationalization in:
brainly.com/question/14261303
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