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Bogdan [553]
4 years ago
13

(2, 4)

Mathematics
1 answer:
k0ka [10]4 years ago
5 0

Answer:

The answer to your question is (-5, 0)

Step-by-step explanation:

Data

Endpoint = (9, 0)

Midpoint = (2, 0)

Endpoint 2 = ?

Formula

Xm = (x1 + x2) / 2

Ym = (y1 + y2) / 2

-Solve for x2 and y2

X2 = 2Xm - x1

Y2 = 2Ym - y1

-Substitution

X2 = 2(2) - 9

Y2 = 2(0) - 0

-Simplification

X2 = 4 - 9 = -5

Y2 = 0 - 0 = 0

-Coordinates of the endpoint 2

  (-5, 0)

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The side lengths of a triangle are 12, 19, and x units.
shepuryov [24]

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

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3 years ago
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1,420 you have to do subtraction
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If f(x) = [x] – 5, what is f(8.6)?<br> 3<br> 4<br> 8<br> 9
shutvik [7]

Answer:

Step-by-step explanation:

The strange thing about the greatest integer function is that the number you are evaluating the function at is not actually the number unless its an integer.  The rule is to round down, ALWAYS, if you are dealing with a value of x that is not an integer.  In other words, you are NOT evaluating the function at 8.6, you have to round down to 8 and evaluate it there.  8 - 5 = 3

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A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform. Find a 95% co
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Answer: (0.7335,\ 0.7865)

Step-by-step explanation:

Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.

sample size : n= 1000

sample proportion: \hat{p}=\dfrac{760}{1000}=0.76

Critical value for 95% confidence interval = z_{\alpha/2}=1.96

Confidence interval :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.76\pm(1.96)\sqrt{\dfrac{0.76(1-0.76)}{1000}}\\\\=0.76\pm0.0264708866493\\\\\approx0.76\pm0.0265\\\\=(0.76-0.0265,\ 0.76+0.0265)=(0.7335,\ 0.7865)

Hence, the  95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform: (0.7335,\ 0.7865)

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