Answer:
1/3 x 3/11 = 3/33 or 0.09, or 9 percent
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Answer:
x =8 is the equation of the tangent.
Step-by-step explanation:
Here the equation of the given circle is: 
Now, comparing it with the general equation of circle: 
we get the central coordinates (h,k) = (3,-2)
So, the slope of the line joining center and (8, -2) = 
Since the slope of line = 0, line is parallel to x axis.
Now, as tangent and the line is perpendicular to each other
⇒Slope of the tangent = -1/ slope of the line = 
Now, by point slope formula: the equation of the tangent is
(y-y0) = m (x-x0)
or, 
or x =8 is the equation of the tangent.
Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
