Answer:
Step-by-step explanation:
2x^2-6x+10=0
2(x^2-3x)+10=0
2(x-(3/2))^2-9/4)+10=0
2(x-(3/2))^2+10-9/2=0
2(x-(3/2))^2+(20-9)/2=0
2(x-(3/2))^2+11/2=0
2(x-(3/2))^2=-11/2
square is always positive so there is no solution
Multiply each number by 3
1x3=3
3x3=9
9x3=27
27x3=81
I cant really show you how to graph this but i can try to explain it. you would make a 4 quadrant graph and do rise over run.
1)start by making the graph
2) on the line of the graph marked Y is where you would put -4
3) From -4, you would go up (rise) by 2 and go over to the right 1 where you end is the slop
Answer:
x= 1/4 .....................
y=-1
Answer:
r = 10 ft
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>
Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Volume <em>V</em> = 2000π ft³
Height <em>h</em> = 20 ft
Radius <em>r</em> = unknown
<u>Step 2: Solve for </u><em><u>r</u></em>
- Substitute in variables [Volume of a Right Cylinder Formula]: 2000π ft³ = πr²(20 ft)
- [Division Property of Equality] Isolate <em>r</em> term: 100 ft² = r²
- Rewrite: r² = 100 ft²
- [Equality Property] Square root both sides: r = 10 ft
