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xeze [42]
3 years ago
10

Quadratics Help please?

Mathematics
2 answers:
il63 [147K]3 years ago
7 0
Remember that
for a right triangle

with legs a and b and hptonuse c
a²+b²=c²

given
a=x+5
b=x-3
c=9


(x+5)²+(x-3)²=9²
x²+10x+25+x²-6x+9=81
2x²+4x+34=81
2x²+4x-47=0

use quadratic formula

for 0=ax²+bx+c
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
so
a=2
b=4
c=-47

x=\frac{-4+/- \sqrt{4^2-4(2)(-47)} }{2(2)}
x=\frac{-4+/- \sqrt{16+376} }{4}
x=\frac{-4+/- \sqrt{392} }{4}
x=\frac{-4+/- 14\sqrt{2} }{4}
x=-1+/- 3.5\sqrt{2}
x can't be negative because lengths can't be negative
so
x=-1+3.5√2
if we evaluate
x=3.94975
round
x=3.950 cm
irakobra [83]3 years ago
5 0
(x-3)^2 + (x+5)^2=9^2
(x^2-6x+9) + (x^2+10x+25)=81
2x^2+4x+34=81
2x^2+4x-47=0
From here just use quadratic formula
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Answer:

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Step-by-step explanation:

a) Develop a point estimate of the proportion of people aged 65–69 who are working

If we take into account the sample taken, the point estimate is

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b) Set up a hypothesis test so that the rejection of h0 will allow you to conclude that theproportion of people aged 65–69 working has increased from 2005

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We can express this null and alternative hypothesis as:

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First we calculate the standard deviation, as we will need it to calculate the test statistic:

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As the P-value is bigger than the significance level, the effect is not statistically significant, so the hypothesis can not be rejected.

We conclude that there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

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