So legnt=l
width=w
l=-7+3w
l=3w-7
area=66
area=legnth times width or
area=lw
subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))
(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this
w-6=0
add 6
w=6
width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11
width=6
legnth=11
Answer:
-20
Step-by-step explanation:
Let the number be Y
If the sum of a number and seven is doubled, the result is six less than the number, The statement is as expressed below
2(Y+7)= Y-6
Find the value of Y
2Y+14=Y-6
Put the like terms together
2Y-Y=-6-14
Y=-20
The number is therefore -20
<em>Verifying</em>
2(-20+7)=-20-6
2(-13)=-26
<u>-26=-26</u>
Answer:
B) 55cm
Step-by-step explanation:
Circumference = πd
= 
x 
= <u>55cm</u>
Answer:
x = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x - 5
f(x) = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in f(x) [Function]: 15 = 2x - 5
- [Addition Property of Equality] Add 5 on both sides: 20 = 2x
- [Division Property of Equality] Divide 2 on both sides: 10 = x
- Rewrite: x = 10
Answer:
4
Step-by-step explanation:
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
