How do you write an equation in slope-intercept form for the line through the given points (8, 10) and (14, 13)

Answers

Answer 1

Answer:

y=1/2x+6

Step-by-step explanation:

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

m=(13-10)/(14-8)

m=3/6

simplify

m=1/2

y-y1=m(x-x1)

y-10=1/2(x-8)

y=1/2x-8/2+10

y=1/2x-4+10

y=1/2x+6


Related Questions

Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?

28
30
31
40

Answers

answer:

i believe 28

Step-by-step explanation:

Show processes po Pa help po need ko po bukass pleaseeee po.... I BRAINLIEST ko po yung tamang sagot:(​

Answers

there's your answer.............

find the area (pls help)

Answers

Answer:

Equation: 4.8 times 5.2 then divided by 2

= 12.48 (area)

Step-by-step explanation:

The formula of finding the area of a triangle:

base * height then divided by 2

* = multiply

Base: 4.8

Height: 5.2

multiply them

= 24.96

then divide by 2

= 12.48

hope this helped :)

Answer:

12.48

Step-by-step explanation:

5.2 times 4.8 is is 24.96 and that divded by 2 is 12.48

Brainliest for correct answer

Answers

Answer:

4

Step-by-step explanation:

The pre-image is the starting coordinates and it then gets larger. when you multiply four by 3 you get 12 and when you multiply four by -4 you get 16. So the pre-image dilated by 4.

Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right

Answers

Acute is the kind of angle

There are 5 slices in the pizza. Wayne ate 2 slices of the pizza. What fraction of the pizza is left?

Answers

Answer:

3/5

Step-by-step explanation:

5/5 - 2/5 = 3/5

Answer: 3/5

If they are 5 and 2 were eaten, there are 3 left. You would put the amount left as the numerator over the denominator of total slices there were from the start. You cant simplify 3/5 down so it stays that way.

When (3x + 2)^2 is subtracted from 10x^2, the result is

Answers

The answer is 7x^2 - 2^2.

PLS HELP answer all and the pictures, label them as the first 3, and the second one 4
1. Identify the solid by its description:
One triangular base and three lateral faces that are triangles
2. Identify the solid by its description:
Two parallel rectangular bases and four lateral faces that are rectangles

Answers

Answer:

Is a rectangular polygon because it has sides which are rectangleIt a polygon cone or a polygon pyramid because it has a base of a polygon

Solve by substitution the system of equations. (y = 4x + 1) (3x + 2y = 13).

Answers

Answer:

(6*y130896+1%315£&+)

(19+!re

solve the equation of the 18y = 144 to find the value of y

Answers

Answer:

y=8 i think

Step-by-step explanation:

Answer: y=8

Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8

I hope this helps you or anybody!

PLEASE HELP

Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2) is dilated to create polygon ABCD with vertices at A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4). Determine the scale factor used to create the image

A. 3
B. 2
C. 1/2
D. 1/3

Answers

The scale factor of the image after the dilation is k = 2

Given data ,

Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2)

Now , the dilated polygon is represented as A'B'C'D'

where the coordinates are A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4).

Now , we can compare the corresponding side lengths of the two polygons to determine the scale factor:

Scale factor = (corresponding side length of dilated polygon) / (corresponding side length of original polygon)

So, A'/A = 2 / 1

A' = 2A

So, the scale factor is k = 2

Hence , the dilation is solved.

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ1

help help help please ​

Answers

Answer:

the lines are perpendicular because they have the same slope so the correct answer would be c

Step-by-step explanation:

I need help with the answer.

On a school field trip, there will be one adult for every 12 students. Which equation could be used to find “a”, the number of adults, if “s”, the number of students, is unknown?

a) a= 12s
b) a= 12/s
c) a= s/12
d) s + 12

please please please help!

Answers

Answer:

a) a = 12s

Step-by-step explaination:

Find the measure of 44.
{
44
158°
K
*4 = [?]

Answers

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

PLZ HELP!!!!! Find the slope of each line that passes through the given points. (−2, 1) and (6, −5)

Answers

Answer:

m = -3/4

Step-by-step explanation:

-5 - 1 / 6 - -2 = -6/8 = -3/4

Answer:

Step-by-step explanation:

(-5 - 1)/(6 + 2)= -6/8 = -3/4

3. P343. 13. A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who has changed jobs within the past years. (a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? (b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. (c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.

Answers

Answer:

a) A sample of 385 must be taken.

b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

c) A sample of 246 is needed.

Step-by-step explanation:

Question a:

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

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

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

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Absence of preliminary data:

This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?

A sample of n must be taken.

n is found when [tex]M = 0.05[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96*0.5[/tex]

Dividing both sides by 0.05

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (19.6)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up,

A sample of 385 must be taken.

Question b:

In a sample of 100 workers, 20 of them had changed jobs within the past year.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]

The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

Question c:

Same procedure as question a, just with [tex]\pi = 0.2[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]

[tex]n = 245.8[/tex]

Rounding up

A sample of 246 is needed.

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 429 watts with a standard deviation of 10 watts. What is the probability that the mean amplifier output would be greater than 432.1 watts in a sample of 76 amplifiers if the claim is true

Answers

Answer:

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean output of 429 watts with a standard deviation of 10 watts.

This means that [tex]\mu = 429, \sigma = 10[/tex]

Sample of 76:

This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]

What is the probability that the mean amplifier output would be greater than 432.1 watts?

This is 1 subtracted by the pvalue of Z when X = 432.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{432.1 - 429}{1.147}[/tex]

[tex]Z = 2.7[/tex]

[tex]Z = 2.7[/tex] has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Which two-way frequency table correctly shows the marginal frequencies?

Answers

Answer:

B

Step-by-step explanation:

Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue

Answers

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500

You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?

Answers

I’m pretty sure the answer is $934

n airline company charges the following baggage fees: $25 for the first bag and $35 for the second (i.e., you pay $60 if you check two bags). Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. About how much revenue should the airline expect for a flight of 120 passengers

Answers

Answer:

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Step-by-step explanation:

For each passenger:

54% of passengers have no checked luggage, that is, 54% probability of no revenue.

34% have one piece, that is, 34% probability of $25 revenue.

12% have two pieces, that is, 12% probability of $60 revenue.

The expected revenue for a single passenger is:

[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]

For 120 passengers

15.7*120 = $1,884

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Dont steal points please if you do you will get repo answer all please I will give brainliest if its correct and 5 stars rating and the heart thanks.

Answers

Answer:

Here is the work I did yesterday for you

Step-by-step explanation:

Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?

Answers

Answer: 4 months

Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.

Answer: 4months

Step-by-step explanation:

Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.

Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?

Answers

Answer:

5/12 cup of water per plant

Bu soruya bi bakarmsiniz​

Answers

Answer:

x=9

y=20

Step-by-step explanation:

6/8=3/4

x/12=9/12=3/4

15/y=15/20=3/4

Billy ate 30% of a pizza and Bonnie ate 3/8 of a pizza who ate more

Answers

Bonnie ate more because 3/8 is 37.5.
Hope this helps!

Determine which of the following pairs of angles are complementary,
supplementary or neither.

Answers

Step-by-step explanation:

Supplementary angles add up to 180

Complementary angles add up to 90

you can check those angles by adding them up

121+59=180                 Supplementary

49+51=100                  Neither

25+65=90                  Complementary

Hope that helps :)

Step-by-step explanation:

121 and 59 are supplementary.49 and 51 neither.25 and 65 are complimantary.

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

Answers

Answer:

65

Step-by-step explanation:

Hi,

Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.

I hope this helps :)

Answer:

65

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees

I need help with this question-
36. Cone A is similar to Cone B with a scale factor 3:5. If the surface area of Cone B is 725 ft^2, find the surface area of Cone A.

Answers

Answer:

uhh 7 maybe?

Step-by-step explanation:

i dont know

HELP PLEAse?
Classify the triangle by its sides and angles.

-acute, scalene
-obtuse, scalene.
-acute, equilateral
-obtuse, equilateral

Answers

Answer:

acute, equilateral

Step-by-step explanation:

Answer:

Acute, equilateral

Step-by-step explanation:

Angle of 60 is acute and it is an equilateral triangle.

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