(4, -5) is the last vertex of the rectangle.
Answer:
n < 2
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>
Step-by-step explanation:
<u>Step 1: Define</u>
2(n + 3) - 4 < 6
<u>Step 2: Solve for </u><em><u>n</u></em>
- [Addition Property of Equality] Add 4 on both sides: 2(n + 3) < 10
- [Division Property of Equality] Divide 2 on both sides: n + 3 < 5
- [Subtraction Property of Equality] Subtract 3 on both sides: n < 2
Here we see that any value <em>n</em> smaller than 2 would work as a solution to the inequality.
Answer:
The vertex is (6, -4)
Step-by-step explanation:
f(x) =(х – 8)(х – 4)
First find the zeros
0 = (х – 8)(х – 4)
0 = x-8 0 =x-4
x=8 x=4
The zeros are x=8 and x=4
The vertex is 1/2 way between the zeros
(8+4)/2 = 12/2 =6
To find the y value, substitute 6 into the function
f(6) = (6-8) (6-4)
= -2 (2) = -4
The vertex is (6, -4)
Answer:
245.04
Step-by-step explanation:
The equation to a cylinder for area is A=2πrh+2πr^2
Fill in and solve.
A=2(3.14)(3)(10)+2(3.14)(3)^2
So using PEMDAS you get the answer 245.04