All categories

3 years ago

What is an equation of the line that passes through the points (6, -3)and (−6,−5)?

Mathematics

2 answers:

Lady_Fox [76]3 years ago

4 0

Answer:

y = 1/6x -4

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

m=(-5 - -3)/( -6 -6)

= (-5+3)/ (-6-6)

= -2/-12

= 1/6

The slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 1/6 x +b

Substitute a point into the equation

-5 = 1/6(-6) +b

-5 = -1+b

Add 1 to each side

-4 = b

y = 1/6x -4

Anna007 [38]3 years ago

4 0

Answer:

y=1/6x-4

Step-by-step explanation:

You might be interested in

The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of

aliya0001 [1]

Answer:

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.95$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{1000}{\sqrt{64}} = 245$

The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.

The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

7 0

3 years ago

4y + 10 = 5x 2.5x + 2y = -10

Mekhanik [1.2K]

Answer:

are they seperate equations?

Step-by-step explanation:

5 0

3 years ago

Triangle XYZ is translated by the rule [x+1, y-1] Ian been dilated by scale factor of 4 centered at the origin. Which statement

Ainat [17]

Answer:

D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.

Step-by-step explanation:

After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.

3 0

3 years ago

The price of a train ticket from Orlando to Atlanta is normally $118.00. However, the train company is offering a special 75% di

Agata [3.3K]

Answer:

<em>The sale price of a ticket from Orlando to Atlanta for someone under the age of 16 is </em><em>$29.5</em>

Step-by-step explanation:

The price of a train ticket from Orlando to Atlanta is normally $118.00.

i.e the normal sell price of a ticket is $118

But, the train company is offering a special 75% discount to children under the age of 16.

i.e the sell price of ticket for children is 75% less than the normal sell price.

So, the sell price is,

$=118-\left(118\times \dfrac{75}{100}\right)\\\\=118-88.5\\\\=\$29.5$

Therefore, the sale price of a ticket from Orlando to Atlanta for someone under the age of 16 is $29.5

3 0

3 years ago

A cylinder has a surface area of 224 pie square meters and a diameter of 14 meters. Find the height of the cylinder.

inna [77]

Answer: 9 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

Surface area if a cylinder (S)= 2 π r2 + 2 π r h

Where r is the radius and h is the height

Diameter is equal to 2r , so in our case:

14 =2r

r = 14/2 = 7 meters

Replacing with the values given and solving for h:

224 pi = 2 π 7^2 + 2 π 7 h

224 π - 2 π 7^2 / 2 π 7= h

703.71 -307.87 /43.98 = h

9 = h

7 0

4 years ago