Hello from MrBillDoesMath!
Answer: (2x + 1) (x-5)
Discussion:
To factor the polynomial let's find its roots using the quadratic formula:
x = ( -b -+\- sqrt ( b^2 - 4ac)) / 2a which in our case is:
x = ( - (-9) +\- sqrt ( (-9^2 - 4*2*(-5)) ) /(2*2)
x = ( 9 +\- sqrt (81 + 40))/4 =>
x = ( 9 +\- sqrt(121)) / 4 =>
x = ( 9 +\- 11) /4 as sqrt (121) =11
Finally then,
x = ( 9 - 11) /4 = -2/4 = -1/2 and
x = (9 + 11)/4 = 20/4 = 5
So the polynomial factors as follows:
( 2x - (-1) ) ( x - 5) or
(2x + 1) (x-5)
Thank you,
MrB
Answer:
3 milkshakes will cost 0.75 cents
4 milkshakes will cost $1.00
Step-by-step explanation:
3 x 0.25 = 0.75
4 x 0.25 = 1.00
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Answer:
-12
Step-by-step explanation:
(3/4)m=-9
m=(-9/1)/(3/4)
m=(-9/1)(4/3)
m=-36/3
m=-12
I hope this helps you
find trapezoid sides from right triangle
base is 2 unit and the height is 6 unit
let's find hypothenus(trapezoid side)=x
x^2=2^2+6^2=40
x=2 square root of 10
let's sum of the trapezoid sides
2x+2 bases
4 square root of 10+(7unit+3unit)
4 square root of 10 +10