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.
(A)
Choice (B) is not the right answer because I
it's only 3rd order. But because f(x) goes to negative infinity when x goes to positive infinity means that the right answer is (A).
Well we know that the volume of a cylinder equals (area of base) (height)
225pi=a*9
divide both sides by 9
25pi=a
a=pir^2
25pi=pir^2
cancel out pi
25=r^2
5=r so the length of the radius is 5
Answer:
B (6,12)
Step-by-step explanation:
The distance from point A (6,5) to point B should be 7.
A- (6,5)-> (7,5) is 1 unit right
B- (6,5)-> (6,12) is 7 units up
C- (6,5)-> (6,7) is 2 units up
D- (6,5)-> (12,5) is 6 units up
