Answer:
Step-by-step explanation:
I think you are trying to use synthetic division for
divided by x-3
First
x -3 = 0 , make it equal to 0 and add 3 to both sides
x = 3
Then we write all the coefficients and continue with
a pattern of multiply by 3 and add to the next coefficient.
See attachment.
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
Cost y is directly proportional to the pound of potato y = 1.89x The constant of proportionality is the cost of 1 pound of potato, and it is 1.89
Step-by-step explanation:
The number of hours that it'll take both printers to do the job is 2.4 hours.
<em>Number of hours used by printer A = 6 hours</em>
<em>Number of hours used by printer B = 4 hours </em>
<em />
Therefore, the number of hours that'll be used by both printers will be calculated thus:
1/6x + 1/4x = 1
Using 12 as the LCM
2x + 3x = 12
5x = 12
Divide both side by 5
5x/5 = 12/5
x = 2.4 hours
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