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2 years ago

1. Write an equation of the line in slope-intercept form that passes through (4.2) and (8.–2).

Mathematics

1 answer:

12345 [234]2 years ago

4 0

Answer:

its (8+4)/(-2-2) so the slope is -3x

Step-by-step explanation:

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Only smart bros know the answer

Cloud [144]

Answer:

3.3

Step-by-step explanation:

4 x 3 = 12

40 ÷ 12 = 3.3 hope this help . if im wrong oh well

5 0

2 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

gizmo_the_mogwai [7]

Answer:

The other endpoint of the segment is $(-18,-7)$ .

Step-by-step explanation:

The midpoint of the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the following formula:

$(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

where $(x_m,y_m)$ = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

$(-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )$

To find $x_1$ we need to solve this equation:

$-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18$

and to find $y_1$ we need to solve this equation:

$2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7$

The other endpoint of the segment is $(x_1,y_1)=(-18,-7)$ .

5 0

3 years ago

Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthe

Ivahew [28]

Answer:

$y = -2x + 6$

Step-by-step explanation:

Given

$(x_1,y_1) = (1,4)$

$(x_2,y_2) = (2,2)$

Required

Determine the line equation

First, we calculate the slope (m) using

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{2-4}{2-1}\\$

$m = \frac{-2}{1}$

$m = -2$

The equation is then calculated using:

$y - y_1 = m(x - x_1)$

$y - 4 = -2(x - 1)$

Open bracket

$y - 4 = -2x + 2$

$y = -2x + 2 + 4$

$y = -2x + 6$

5 0

2 years ago

Read 2 more answers

Melissa has 350 in her savings account. she decides that she will put the same amount of money each month into her account.Her g

Ray Of Light [21]

C = 350+xm
mc=350+x
m = (350+x)/c

7 0

3 years ago

he amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and s

sp2606 [1]

Complete question:

He amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n equals 47 customers is observed. Find the probability that the average time waiting in line for these customers is

a) less than 8 minutes

b) between 8 and 9 minutes

c) less than 7.5 minutes

Answer:

a) 0.0708

b) 0.9291

c) 0.0000

Step-by-step explanation:

Given:

n = 47

u = 8.3 mins

s.d = 1.4 mins

a) Less than 8 minutes:

$P(X$

P(X' < 8) = P(Z< - 1.47)

Using the normal distribution table:

NORMSDIST(-1.47)

= 0.0708

b) between 8 and 9 minutes:

P(8< X' <9) = $[\frac{8-8.3}{1.4/ \sqrt{47}}< \frac{X'-u}{s.d/ \sqrt{n}} < \frac{9-8.3}{1.4/ \sqrt{47}}]$

= P(-1.47 <Z< 6.366)

= P( Z< 6.366) - P(Z< -1.47)

Using normal distribution table,

$NORMSDIST(6.366)-NORMSDIST(-1.47)$

0.9999 - 0.0708

= 0.9291

c) Less than 7.5 minutes:

P(X'<7.5) = $P [Z< \frac{7.5-8.3}{1.4/ \sqrt{47}}]$

P(X' < 7.5) = P(Z< -3.92)

NORMSDIST (-3.92)

= 0.0000

3 0

3 years ago