Write the equation of the line in y = mx + b form from the given information. The line passes through the point (1, 5) and has a slope of 2.

Answers

Answer 1

Answer:

y=2x+3

Step-by-step explanation:

the equation of the line given in y=mx+b form is for m being the slope and b being the y intercept

we are given a point (1,5) and a slope (2)

since we know the slope, we can plug thatk known value into the equation:

y=2x+b

now we need to find b

because the line will pass through the point of (1,5), we can use it to solve for b

substitute 5 as y and 1 as x

5=2(1)+b

5=2+b

3=b

therefore the equation is

y=2x+3

Hope this helps!!


Related Questions

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.

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

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.


The manager of a restaurant recorded how many people were in different groups of
customers and how much those groups spent on food and beverages. The scatterplot below
shows the data she recorded.

Answers

Answer:

$135

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hows it goin my boi

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

how do you put 72.3 and 39.1 in Commutative Property​

Answers

Answer:  

70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)  

Step-by-step explanation:  

i dont have an explanation but that is the answer i can confirm because i did it and got it wrong but then it showed the right answer hope it helps you

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:

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.

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

Answers

Answer:

(6*y130896+1%315£&+)

(19+!re

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

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

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

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:

Which of the following expressions is/are equivalent to 16x + 8-2?
A. 22x
B. 24x2
C. 16x+ 6
D. 2(8x + 3)
E. 2(8x 8 - 2)
F. 4(4x + 2) - 2

Answers

B. 24x2 is the correct answer

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

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!

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.

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:

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

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.

Answers

Answer:

child's ticket =  4.75        adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

HELP PLEASE!!! I need to name each angle

Answers

Answer:

XWZ and ZWX are the only ways to label this angle

Step-by-step explanation:

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

*
87-1 = 25+2 simplifies to :​

Answers

it simply to nothing

Answer:

175 /2

Step-by-step explanation:

change 7 3/8 from a mixed. number to to an improper fraction

Answers

First, we set up the mixed number 7 3/8 with different colors, so it is easy to follow along:

7
3
8

Step 2 - Multiply
Next, we multiply the whole number by the denominator.

7 x 8 = 56

Step 3 - Add Numerator
Then, we add the numerator to the answer we got in Step 2.

56 + 3 = 59

Step 4 - Solution
Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 7 3/8 as an improper fraction is:

59
8

Answer:

59/8

Step-by-step explanation:

Multiply the whole number by the denominator.

[tex]7 * 8 = 56[/tex]

Add the numerator to the product.

[tex]56 + 3 = 59[/tex]

Write the sum over the denominator.

[tex]\boxed{\frac{59}{8}}[/tex]

Hope this helps.

f(x) = x - 4 + 1
Describe the transformation

Answers

Answer:

here i gotchu mate:)

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted down  

3

units

What’s the correct answer for this question?

Answers

ANSWER

l

Or

Or

EXPLANATION

The given line has slope,

and

We can find the equation in the point slope form, which is given by,

We substitute the point and slope to get,

We can also simplify further to get,

We make y the subject to get,

This is called the slope intercept form.

We could also write in standard form to get

Or

Mrs.Hilt’s yard is 48 feet long and 39 feet wide . What is the area of Mrs.Hilt’s back yard?

Answers

Answer:

               1872

Step-by-step explanation

10n-5(2n-5) what’s the answer

Answers

Answer:

25

Step-by-step explanation:

10n−5(2n−5)

Distribute:

=10n+(−5)(2n)+(−5)(−5)

=10n+−10n+25

Combine Like Terms:

=10n+−10n+25

=(10n+−10n)+(25)

=25

plz mark me as brainliest.

Answer: 25

Step-by-step explanation:

Given

 10n-5(2n-5)

Distributive property

=10n-(5×2n-5×5)

Simplify

=10n-(10n-25)

Take off parenthesis (REMEMBER to change signs whenever it is "-" outside)

=10n-10n+25

=0+25

=25

Hope this helps!! :)

Please let me know if you have any questions

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

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.

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