Answer:
At a point when r = 6 ft
The rate of change of Area with time is given as
(dA/dt) = 36π = 113.1 ft²/min
Step-by-step explanation:
Area of a circle, A = πr²
A = πr²
(dA/dt) = (dA/dr) × (dr/dt)
(dA/dr) = 2πr, (dr/dt) = 3
(dA/dt) = 2πr × 3 = 6πr
At a point when r = 6 ft
(dA/dt) = 6πr = 6π × 6 = 36π = 113.1 ft²/min
<h2>
Greetings!</h2>
Answer:
x = −4 and x = 4
Step-by-step explanation:
4x² = 64
Lets get x² on its own. To do this we divide each sides by 4:
x² = 16
Now to get just x, we need to square root this answer:
√x² = √16
x = √16
x = 4
But this can be ±4 as it -4 and 4 squared both give 16.
So your answer is x = −4 and x = 4
<h2>Hope this helps!</h2>
Answer:
(-3, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = x + 8
x + y = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y </em>[2nd Equation]: x + x + 8 = 2
- Combine like terms: 2x + 8 = 2
- [Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6
- [Division Property of Equality] Divide 2 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = -3 + 8
- Add: y = 5
Step-by-step explanation:
incomplete question
you didnt give any choice to choose from
Answer:
y = -1/2x + 2.5
Step-by-step explanation:
- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c
- to find c we substitute the values from the given point into the equation
(0) = -1/2*(5) + c
- rearrange and calculate and you'll get c = 5/2 or 2.5
- replace the value of c and now you've got y = -1/2x + 2.5
