Answer:
Step-by-step explanation:
let 2x be the length of chord tangent to first circle.
so x=√(14²-6²)=√(14+6)(14-6)=√(20×8)=√160=4√10
length of chord=2x=2×4√10=8√10
Without any extra conditions, the answer could be 3, and the simplest polynomial with the given roots would be
(<em>x</em> + 5) (<em>x</em> - (1 + 4<em>i</em> )) (<em>x</em> + 4<em>i</em> )
= <em>x</em> ³ + 4<em>x</em> ² + (11 - 4<em>i</em> ) <em>x</em> + 80 - 2<em>i</em>
<em />
If the polynomial is supposed to have only <em>real</em> coefficients, then any complex roots must occur along with their complex conjugates:
(<em>x</em> + 5) (<em>x</em> - (1 + 4<em>i</em> )) (<em>x</em> - (1 - 4<em>i</em> )) (<em>x</em> + 4<em>i</em> ) (<em>x</em> - 4<em>i </em>)
= <em>x</em> ⁵ + 3<em>x</em> ⁴ + 23<em>x</em> ³ + 133<em>x</em> ² + 112<em>x</em> + 1360
and then the degree would be 5.
Answer: 95% confidence interval would be (0.344,0.456).
Step-by-step explanation:
Since we have given that
n = 295
x = 118
so,
At 95% confidence, z = 1.96
So, margin of error would be
so, 95% confidence interval would be
Hence, 95% confidence interval would be (0.344,0.456).
Answer:
60
Step-by-step explanation:
Answer:
-8x-6 or -8x+-6.
Step-by-step explanation: