What is the equation of the line that goes through the points (4,-1) and
(2,3)?

Answers

Answer 1

Answer:

y = -2x + 7

Explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7


Related Questions

Type in the missing terms in this sequence of square numbers.
1, 4, 9,
, 25, 36,
, 64, 81, 100,
, 144

Answers

Answer:

16, 49, 121

Step-by-step explanation:

A local hotel has 158 rooms. Due to a scouting event, the entire hotel booked except for two rooms. If the girls scouts are using three times as many rooms as the boy scouts, how many rooms are the boy scouts using?

Answers

Answer:

39

Step-by-step explanation:

Let, total rooms girls booked be x and total rooms girls booked be y.

entire hotel was booked except two rooms.

so, total = 158-2 = 156

x+ y = 156

this is equation 1.

also, girls are using three times more room than boys.

so, y=3x

substituting y=3x in 1st equation,

x+ 3x = 156

or, 4x = 156

or, x= 156/4

x= 39

Please help and explain please. would appreciate it!

Answers

Answer:

area of ΔAPQ = 8 units²

Step-by-step explanation:

since the dimensions are 1/3 size, the area scale factor will be 1/9.

72/9 = 8 units²

Answer:

Step-by-step explanation:

A/4=72/12

A=4(72)/12

A=24 u^2

a.f(a)=22
b.f(a)=37
c.f(a)=32
d.f(a)=42

Answers

Answer:

with no question asked the answer could be anyone of the options

Step-by-step explanation:

Find an equation for the line below

Answers

I’ve attached my work below...
Hope this helps!
y=-1/2x+4.5
y=mx+b
first do rise over run so it goes down 3 units and to the right 6 units then you simplify 3/6 to the smallest fraction which would be 1/2 and since the line is going down horizontally the slope(1/2) would be negative then you simply see where the line crosses the y-axis and that is the "b"(4.5) for the equation now all you gotta do is plug in the numbers and you get
y=-1/2x+4.5

does the volume method length x width x height apply to all volume finding questions

Answers

Answer:

No.

Step-by-step explanation:

This only applies to solids like cubes and some prisms.

It does not apply to such solids are cylinders, pyramids, cones and triangular prisms.  It will apply to a prism whose cross-section is a rectangle.

A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?

Answers

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?Immersive Reader

Answers

Answer:

6.67 yards

Step-by-step explanation:

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?

Please note that:

1 foot = 0.333 yard

20 feet = x yards

Cross Multiply

1 foot × x yards = 20 feet × 0.333 yards

x yards = 20 feet × 0.333 yards/1 foot

x yards = 6.66667 yards

Approximately = 6.67 yards

Therefore, the measurements in yards is 6.67 yards.

PLEASE HELP I NEED IT ITS DUE IN 3 MIN TYSM <333

Answers

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

11 + 2x

Step-by-step explanation:

6 + 5 = 11. -2x + 4x = 2x.

I'm using a method my elementary teacher. My dearest apologizes if this is wrong.

Help meeeee pweaassee!!

Answers

Answer:

7. divide both sides by 18.

8. subtract 4 from both sides.

9. add 3 on both sides.

10. multiply by 6 on both sides

Hope that helps! :3

Step-by-step explanation:

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number​

Answers

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

IM MARKING BRAINLIEST
Valerie replaces one car alternator every 1.75 hours. She takes a 1-hour lunch break.



Which equation can be used to determine how many alternators she replaces in 8 hours?

Multiple choice question.
A)
1.75w−1=8
B)
1.75w+1=8
C)
18w−1=8
D)
18w+1=8

Answers

Answer:

A)

1.75w−1=8

Step-by-step explanation:

The slope of the line in the graph tells us the ____ liters of the petrol is consumed for every mile.

Answers

Answer:

.16

Step-by-step explanation:

5 by 30 and you get your answer

help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?​

Answers

Answer:

401(k) plan

Step-by-step explanation:

The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

Tools
Question 11
The table shows the relationship between y, the cost to rent a boat, and the amount of time the boat is rented,
Boat Rental Costs
Time, X Cost, v
(hours) (dollars)
1
3
5
80
7
104
Which graph best represents the relationship between x and y shown in the table

Answers

I think the answer is D

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $11. The auditorium can hold at most 100 people. The drama club must make no less than $770 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.

Step-by-step explanation:

Answer:

possible solution (10,80)

Step-by-step explanation:

Variable Definitions:

x=the number of student tickets sold

y= the number of adult tickets sold

“at most 100 people"→100 or fewer tickets

Therefore the total number of tickets sold, x+y, must be less than or equal to 100:

x+y≤100

“no less than $770"→$770 or more

Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:

6x+11y≥770

Solve each inequality for y:

x+y≤100

y≤−x+100

6x+11y≥770

11y≥770−6x

y≥ -6/11x+70

Graph y≤100−x by shading down and graph y≥-6/11x+70

by shading up

PLEASE HELP!!
Question 1 of 5
Solve the following equation for x using a table of values (nearest fourth of a unit), graphing technology, and successive
approximation (three iterations). The solution lies between x = -2 and x = -1.
x + 3 = 2 (- x - 1)
Select the correct order that shows the least accurate to most accurate method of approximation.
Lowest Accuracy: Table of values: x= -1.5
Intermediate Accuracy: Successive approximations: x-1.5625
Highest Accuracy: Graphing technology: x-1.543
O
Lowest Accuracy: Table of values: X~ -1.5
Intermediate Accuracy: Graphing technology: x -1.543
Highest Accuracy: Successive approximations: x-1.5625
O
Lowest Accuracy: Successive approximations: x= -1.5625
Intermediate Accuracy: Table of values: x-1.5
Highest Accuracy: Graphing technology: x -1.543
o
Lowest Accuracy: Graphing technology: x-1.543
Intermediate Accuracy: Successive approximations: x= -1.5625
Highest Accuracy: Table of values: x-1.5

Answers

Answer:

lowest accuracy: Table of values:x=-1.5

intermediate accuracy: successive approximate: x=-1.5625

Highest accuracy: Graphing technology: x=1.543

Step-by-step explanation:

i just did this question

Someone Please Help Me!

Answers

9514 1404 393

Answer:

  discrete

Step-by-step explanation:

"The number of (anything)" means the possible values are counting numbers. The random variable involved is necessarily discrete.

The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of ANB. Compute the whole number value of 2021 squared -2022The identity a squared minus B squared equals parentheses a plus B parentheses parentheses a minus B parentheses is true for all values of A and B. Compute the whole number value of 2021 squared -2020 squared

Answers

Question:

The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]

Answer:

[tex]2021^2 - 2022^2 = -4043[/tex]

Step-by-step explanation:

Given

[tex]A^2 - B^2 = (A + B) (A - B)[/tex]

Required

Solve:  [tex]2021^2 -2022^2[/tex]

In: [tex]2021^2 -2022^2[/tex]

[tex]A = 2021; B = 2022[/tex]

[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes

[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]

[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]

[tex]2021^2 - 2022^2 = -4043[/tex]

. A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based on a random sample of 10 balls you find a standard deviation of 3.2 mm. Does the sample suggest the standard deviation is higher than that claimed by the manufacturer?

Answers

Answer:

Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer

Step-by-step explanation:

Sample standard deviation, s = 3.2

Population standard deviation, σ = 2

Defining the Null and alternative hypothesis :

H0 : σ = 2

H1 : σ > 2

The test statistic :

Use the Relation :.

[(n - 1)*s²] ÷ σ²

[(10 - 1) * 3.2²] ÷ 2²

(9 * 10.24) ÷ 4

92.16 ÷ 4

= 23.04

We obtain the Pvalue for the distribution :

Using the Pvalue from Chisquare distribution calculator :

Pvalue(Chisquare score, df)

df = n - 1 = 10 - 1 = 9

Pvalue(23.04, 9) = 0.006107

Decision :

If Pvalue is < α ; Reject H0 ; α = 0.05

0.006107 < 0.05 ; We reject H0

12.6% of
RI 149 390bn​

Answers

Answer: RI 18,823.14

Step-by-step explanation:

I guess that we want to find the 12.6% of Rl 149,390

First, we assume that Rl 149,390 is the 100%

Then we can write an equation like:

Rl 149,390 = 100%

Then if the amount X is the 12.6%, we also have the equation:

X = 12.6%

Then we have the two equations:

X = 12.6%

Rl 149,390 = 100%

If we take the quotient between these two equations we get:

(X/Rl 149,390) = (12.6%/100%)

Solving this for X we get:

X =  (12.6%/100%)*(Rl 149,390) = RI 18,823.14

PLEASE HELP ME PLEASE PLEASE PLEASE

Answers

Answer:

Step-by-step explanation:

l/100 km   means   liters per 100 Kilometre. How many liters a car need for traveling 100 km.

Km/l  means  liter per km

What is the length of the line segment that has endpoints at (-5,7) and (7,2)

A 13
B 10.9
C 5.4
D 15

Answers

Answer:

A

Step-by-step explanation:

sqrt of (x_2 - x_1)^2 + (y_2 - y_1)^2

sqrt of (7 - -5)^2 + (2 - 7)^2

sqrt of (12)^2 + (-5)^2

sqrt of (144 + 25)

sqrt of (169)

13

f=6 and p = 2
3f – 9p + 8 + f

Answers

Answer:

14

Step-by-step explanation:

18-18+8+6

0+14

14

hope this helped!

Answer:

Step-by-step explanation:

F = 6

P = 2

Then:

3.(6) - 9.(2) + 8 + 6

18 - 18 + 8 + 6

8 + 6

14

;D

help ASAP please! ill mark u brainliest

Answers

Answer:

box and whisker

Step-by-step explanation:

need help please 9× > 108​

Answers

Answer:

x > 12

Step-by-step explanation:

9x>108

x> 108/9

x > 12

Answer:

[tex] \boxed{ \tt{x > 12}}[/tex]

Step-by-step explanation:

[tex]9x > 108 \\ x > \frac{108}{9} \\ x > 12[/tex]

What is the perimeter of the composite figure?

Enter your answer in the box.
perimeter = yd

Answers

Answer: 38 yd. plz mark me brainliest

Step-by-step explanation: Square: 4+4+4+4=16 6+8+8=22 so 22+16=38 so 38 yd. plz mark me brainliest. (tap the crown on the bottom right of an answer) there has to be 2 answers if there is no crown and 2 answers then reload the page.

Answer:

in big TRAINGLE

by using Pythagoras law

other side =√(6²+8²)=10yd

perimeter of composite figure =6+4+4+4+4+10=32yd

Can I have some help please

Answers

Answer:

I think it's trapezium .

PLEASE HELP! Tis urgent-

Answers

Answer:

Rectangular Pyramid.

Step-by-step explanation:

I believe the rectangular pyramid has a greater volume. :) Hope I helped! Have a wonderful day! Please give brainliest! Remember your worth!!! :D

I need to know the answer to the question

Answers

Answer:

X=4

Step-by-step explanation:

Answer and Step-by-step explanation:

To get x, we need to put everything on the right. We start off by multiplying each side by 3.

3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3

7 + 2x = 15

Now, we subtract 7 from each side.

(7 + 2x) - 7 = 15 - 7

2x = 8

Finally, we divide each side by 2.

2x ÷ 2 = 8 ÷ 2

x = 4

The answer to this equation is x = 4.

I hope this helps!

A thanks and 5 stars + brainliests are appreciated, but I help to help!

#teamtrees #PAW (Plant And Water)

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