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sweet-ann [11.9K]
3 years ago
10

Distance between(-3,-5) and (-4,6)

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0
Just use the distance formula.. (-3 - -4)squared + (-5 - 6)squared
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What is the recursive rule for this geometric sequence? 1/2, -2, 8, -32
Gnesinka [82]

Answer:

see explanation

Step-by-step explanation:

A recursive rule allows us to find the term in a sequence from the previous term.

From the given geometric sequence find r the common ratio

r = \frac{-2}{\frac{1}{2} } = \frac{8}{-2} = - 4

Hence recursive rule is

a_{n+1} = - 4a_{n} ( a₁ = \frac{1}{2} )

4 0
3 years ago
use coordinate notation to write the rule that maps each preimage to its image. The identify the transformation and confirm that
Ymorist [56]

The <em>rigid</em> transformations used for each figure:

  1. Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
  2. Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)

<h3>What transformation rules do create the resulting images?</h3>

In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:

Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.

(x, y) → (- x, - y)

Figure 6 - Translation one unit in the +x direction and two units in the -y direction.

(x, y) → (x + 1, y - 2)

To learn more on transformation rules: brainly.com/question/9201867

#SPJ1

8 0
2 years ago
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0
2 years ago
Are these numbers divisible by<br> 2,3,5,10<br> 444:<br> 90:<br> 45:
anyanavicka [17]

444 ÷ 2 = 222

444 ÷ 3 = 148   

90 ÷ 2 =  45   

 90 ÷ 3 =  30   

 90 ÷ 5 = 18 

90 ÷ 10 = 9

45 ÷  3 = 15   

 45 ÷ 5 = 9

So 444 can be divided into 2 and 3

90 can be divided into  2, 3, 5,  and 10

45 can be divided into  3 and 5

Hope this helps. :) 



6 0
3 years ago
Read 2 more answers
If renting a bike cost $5 plus $2.50 per hour how much will i costs for 6 hours​
Natasha2012 [34]

Answer:

15per 6 hours

Step-by-step explanation:

2.5x2=5x3=15

5 0
2 years ago
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