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mafiozo [28]
3 years ago
9

The intercepts of the circle (x-1)^2 + (y-2)^2 = 10 are ?

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

y-intercept:  Let x = 0 and solve for y:

(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10

                                =>  1 + y^2 - 4y + 4 = 10, or   y^2 - 4y  -5 = 0

                                The solutions of this quadratic are y = 5 and y = -1.

                                Thus, the y-intercepts are (0, 5) and (0, -1).

Now find the x-intercepts:  Let y = 0 and solve the resulting equation for x:

(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.

Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:

                                                  x = 1 +√6 and x = 1 - √6, so that the x-intercepts

                                                  are (1+√6, 0) and (1-√6, 0).

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Step-by-step explanation:

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Test Hypothesis:

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Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

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z(s) > z(c)

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We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

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