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stepladder [879]
3 years ago
7

The line ab has midpoint (-2,4). a has coordinates (3,-2). find the coordinates of b

Mathematics
1 answer:
hodyreva [135]3 years ago
6 0

Answer:

B = (-7,10)

Step-by-step explanation:

Given that , a line AB has midpoint (-2,4) and the coordinates of A is ( 3 , -2). We need to find out the coordinates of B .

  • Let coordinate of B be ( p,q ). We can use midpoint formula , as ,

=> Midpoint = ( x₁ + x₂ / 2 , y₁ + y₂/2 )

=> ( -2,4 ) = ( p + 3)/2 , ( q -2 )/2

  • On comparing ,

=> -2 = p + 3/2

=> p + 3 = -4

=> p = -3 - 4

=> p = (-7)

<u>Also </u><u>:</u><u>-</u><u> </u>

=> q - 2/2 = 4

=> q -2 = 8

=> q = 8 + 2

=> q = 10

<h3><u>Hence</u><u> the</u><u> </u><u>coordinates</u><u> </u><u>of </u><u>B </u><u>is</u><u> </u><u>(</u><u> </u><u>-</u><u>7</u><u>,</u><u>1</u><u>0</u><u> </u><u>)</u><u> </u><u>.</u></h3>
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3 years ago
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Answer:

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A. One-proportion z-test

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And the conditions required are:

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4) The sample size is 10 times lower than the population size.

Step-by-step explanation:

Data given and notation

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\hat p=\frac{159}{865}=0.184 estimated proportion of vacant units

p_o=0.146 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Solution to the problem

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:  

Null hypothesis:p=0.146  

Alternative hypothesis:p \neq 0.146  

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When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And the conditions required are:

1) The data comes from a random sampling

2) Independence condition between observations

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Step-by-step explanation

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sasho [114]

Answer:

first of all,

Step-by-step explanation:

In triangle ABC one side equal  and two sides equal  

Step-by-step explanation:

We are given a prism whose base is square with sides 8 in and height 12 in.

If we take cross section through vertices A, B and C

We will get a cross section as triangle.

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3 years ago
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