Answer:
w² - 13w + 36
Step-by-step explanation:
Given
(w - 9)(w - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
w(w - 4) - 9(w - 4) ← distribute both parenthesis
= w² - 4w - 9w + 36 ← collect like terms
= w² - 13w + 36
You need to multiply the volume of a cone by 3 to get the volume of its corresponding cylinder (a cylinder with the same base radius and perpendicular height).
As in:
Vol. of a cylinder= πr²h
and Vol. of a cone= ⅓πr²h
So assuming volume of a cone is ⅓V, then the volume of the cylinder will be ⅓V × 3 which equals V.
Answer:
x = 1/4
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
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x - 5y = 21
<em>y</em> = -4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 4x - 5(-4) = 21
- Multiply: 4x + 20 = 21
- [Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
- [Division Property of Equality] Divide 4 on both sides: x = 1/4
Answer:
NM = 8
Step-by-step explanation:
Given rectangle JKLM
JN = x + 3 and JL = 3x + 1
JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.
Substitute and solve for x:
x + 3 = 1/2(3x + 1)
2x + 6 = 3x + 1
3x - 2x = 6 - 1
x = 5
Find JN
JN = 5 + 3 = 8
Looking at the options, we see that
NM = JN = 8
Correct option is A
Answer:
The rate is 2% per year.
Step-by-step explanation:
<em>It is given that sum to be $1200000.</em>
<em>The interest per year to be received is $24000.</em>
<em>Let the rate of interest be "r".</em>
The amount interest is given by the formula,
Thus the rate of interest is given by 2% per year.
