Answer:49/4
Step-by-step explanation:
Improper fraction
Use the Quadratic formula,
x= -b +/- sqrt(b^2-4ac)
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2a
x= 4 +/- sqrt(16+12)
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-6
x = 4+/- sqrt(28)
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-6
x = 4 +/- 2*sqrt(7)
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-6
x= 2(2+/- sqrt(7))
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2(-3)
x= 2+/- sqrt(7)
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-3
N/4 < -1 — we can multiply both sides with 4, so we dont have to deal with fractions.
N < -4
So, our N goes left from -4 on a number line.
-10x<-100 — divide both sides by 10
-x < -10
x > 10
X is from 10 rightwards.
5x>20 — divide both sides by 5
x > 4
X is rightwards from 4.
The answer to the problem is 299.85 m.
The aides of a right triangle will always satisfy the Pythagorean relationship ...
a² + b²= c²
We can take each of these and try it out:
(1) ... 10² + 24² = 100 + 576 = 676
√676 = <em>26 Yes</em>.
(2) ... 12² + 18² = 144 + 324 = 468
√468 = 21.6, not 20. <em>No.</em>
(3) ... 15² + 26² = 225 + 676 = 901
√901 = 30.017 Awfully close. As an engineer, I'll buy this one. <em>Yes.</em>
(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
√4,100 = 64.03, not 80.<em> No.</em>
