Hello from MrBillDoesMath!
Answer:
x = 4
x = ( -7 + sqrt(29)) /2
x = ( -7 - sqrt(29)) /2
Discussion:
x^3+3x^2-23x-20 factors as (x - 4) (x^2 + 7 x + 5) so x =4 is one root
The roots of the quadratic factor, x^2 + 7x + 5, can be found using the quadratic formula where a = 1, b = 7, and c = 5
x = ( -b +\- sqrt(b^2-4ac)) / 2a
x = ( -7 +\- sqrt( 7^2 - 4*1*5) ) / (2*1) =>
x = ( -7 +\- sqrt (49-20) ) / 2 =>
The "+" root: ( -7 + sqrt(29)) /2
The "-" root: ( -7 - sqrt(29)) /2
Regards,
MrB
Answer:
A = 78.5 cm²
Step-by-step explanation:
Area = π · radius²
if diameter is 10 then radius is 5
A = 5²·π
A = 25 × 3.14
A = 78.5 cm²
Answer:
54 x 1; 27 x 2; 18 x 3; 9 x 6
Step-by-step explanation:
Find all the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
A rectangle with area 54 can have the dimensions:
54, 1
27, 2
18, 3
9, 6
Answer:
x=20
Step-by-step explanation:
2(x+10)=60
distribute 2 by multiplying numbers in parenthesis
2x+20=60
subtract 20 from both sides
2x=40
divide both sides by 2
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x=20
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