Ask question

Ask question

All categories

2 years ago

15

estamos construyendo una carretera que enlace los puntos a = 12 ,21 y b =(17,23) otro punto se encuentra en c =(3,9) es posible

que una unica carretera permita unir estos tres puntos

1 answer:

Nadusha1986 [10]2 years ago

7 0

Answer:

is not possible

Step-by-step explanation:

<u><em>The question in English is</em></u>

we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope ab

we have

a = (12 ,21) and b =(17,23)

substitute

$m=\frac{23-21}{17-12}$

$m=\frac{2}{5}$

step 2

Find the slope ac

we have

a = (12 ,21) and c =(3,9)

substitute

$m=\frac{9-21}{3-12}$

$m=\frac{-12}{-9}$

simplify

$m=\frac{4}{3}$

step 3

Compare slopes ab and ac

The slopes are different

That means ----> is not possible that a single road allows to join these three points

You might be interested in

A past survey of students taking a standardized test revealed that % of the students were planning on studying engineering in c

Angelina_Jolie [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $-0.00870$

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 1068000$

The first proportion $\r p_1 = 0.084$

The second sample size is $n_2 = 1476000$

The second proportion is $\r p_2 = 0.092$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

From the normal distribution table we obtain the critical value of $\frac{ \alpha }{2}$ the value is

$Z_{\frac{\alpha }{2} } =z_c= 1.96$

Now using the formula from the question to construct the 95% confidence interval we have

$(\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }$

Here $\r q_1 = 1 - \r p_1$

=> $\r q_1 = 1 - 0.084$

=> $\r q = 0.916$

and

$\r q_2 = 1 - \r p_2$

=> $\r q_2 = 1 - 0.092$

=> $\r q_2 = 0.908$

So

$(0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }$

$-0.00870$

3 0

3 years ago

5/8 of the prizes at the giant spin were dolls. If there were 64 prizes , how many prizes were not dolls ?

inna [77]

First you find how many prizes were dolls. Then you subtract that number from 64.

5 0

3 years ago

Read 2 more answers

Kevin is making a picture frame. He has a piece of trim that is 4 feet long.How many 14−inch-long pieces can Kevin cut from the

Lerok [7]

First, convert 4 feet into inches - 48 inches. Then, divide 48 by 14 to get 3.43, so he can have 3 14-inch long pieces. To get the left over out of a foot, take 14 x 3 to get 42, then subtract 42 from your original 48 inches to get 6 inches left, which is half of a foot.

7 0

2 years ago

Read 2 more answers

5х + 34 = -2 (1 - 7x) help me solve it step by step !

snow_lady [41]

Answer: x = 4

Step-by-step explanation:

5x + 34 = -2(1 - 7x)

5x + 34 = -2 + 14x Multiply -2 to 1 and -7x

5x + 36 = 14x Add 2 to both sides

36 = 9x Subtract 5x to both sides

4 = x Divide 9 to both sides

3 0

3 years ago

Read 2 more answers

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 21 ft/s. The ball height h (in feet) after

Alexxx [7]

Answer:

Step-by-step explanation:

The position equation is given as

$s(t)=-16t^2+21t+3$ and we are looking for the times when the position of the ball is 9 feet. That means that we simply plug in a 9 for s(t) and factor to solve for t:

$9=-16t^2+2t+3$ and

$0=-16t^2+21t-6$ and this is what we factor to find t:

t = .42 sec and then again on its way back down at t = .89 sec

5 0

3 years ago