Answer:
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Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 4 x = 5
Subtract 5 from both sides:
x^2 - 4 x - 5 = 0
x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2
(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2
(4 - 6)/2 = -2/2 = -1:
Answer: x = 5 or x = -1
Answer:
SY=34, SK=21 and KY=13
Step-by-step explanation:
we have that
SY=SK+KY
substitute the given values
(36-x)=(13x-5)+(2x+9)
solve for x
36-x=15x+4
15x+x=36-4
16x=32
x=2
<em>Find the value of SY</em>
SY=(36-x)=36-2=34
<em>Find the value of SK</em>
SK=(13x-5)=13(2)-5=21
<em>Find the value of KY</em>
KY=(2x+9)=2(2)+9=13
Answer:
706.85775
Step-by-step explanation:
First you find the volume of the tank
13*3.14159=40.84067
40.84067*75=3063.05025
Then find the volume of both the tank and sleeve
13+3=16
16*3.14159=50.26544
50.26544*75=3769.908
Subtract the original volume with the combined volume
3769.908-3063.05025=706.85775