7. Write the equation of a line which passes through the points (-3,5) and (6,23)

Answers

Answer 1

Answer:

answer to the equation is

[tex]y = 2x + 11[/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

first find the slope of the line using the two points

[tex]slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2[/tex]

substitute 2 for m and use one of the points for x and y and solve for b

[tex]5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11[/tex]

Now that you found b, the y-intercept, you can substitute that into the equation for your line

[tex]y = 2x + 11[/tex]


Related Questions

Which continent is pictured in the map as number 3?

Answers

The continent is Africa

Answer:  Africa

,  Hope this helps :)

Have a great day!!

You are given a speed in miles per minute. Which conversion factor would you use to express the speed in feet per minute?1 mile Over 5280 feet60 minutes Over 1 second5280 feet Over 1 mile1 minute Over 60 seconds

Answers

Answer:is it mile 1 or 1 mile?

Step-by-step explanation:

answer po plss plss plsss

Answers

Answer:

[tex] - 60[/tex]

Step-by-step explanation:

[tex]( - 1)(5)( - 6)( - 2) \\ ( - 5)( + 12) \\ = - 60[/tex]

Answer:

-60

Step-by-step explanation:

You bought a package of paper for $3 and some pencils for $2 each at the school store. You paid $15 for everything that you bought. How many pencils did you buy?

Answers

Answer:

6  pencils

Step-by-step explanation:

Total cost = paper * cost of a package + pencils * cost of a pencils

We bought 1 pack of paper at 3 dollars and p pencils at 2 dollars

15  = 1*3 + p*2

15 = 3+2p

Subtract 3 from each side

15-3 = 3+2p-3

12 = 2p

Divide by 2

12/2 = 2p/2

6 = p

100%
Use the information to answer the question.
Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.
If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'? Enter the answer in the box.
inches

Answers

Answer:

24 inches

Step-by-step explanation:

It is the same because the rotation doesn't change the size of the triangle

The perimeter of triangle D'E'F' is 24 inches.

We have given,

Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.

What is the meaning of rotation?

If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'

It is the same because the rotation doesn't change the size of the triangle.

To learn more about the rotation visit:

https://brainly.com/question/26249005

fully simplify (2x+y)^2

Answers

Answer:

4

2

+

4

+

2

Step-by-step explanation:

The answer is: 4x^2 + 4xy + y^2

√4x^2/3y
Please show work if you can

Answers

Answer:

√16x/3y

Step-by-step explanation:

√4x^2 = √16x /3y = can't be simplified further

A number added to three is the same as twice the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

Step-by-step explanation:

let the number be x

x +3= 2x

collect the like terms

x-2x= -3

-x = -3

x=3

PLEASE MARK BRAINLIEST

A plant splits into 2 new plants each week. How many plants will you have after 6 weeks?

Answers

Answer:

The answer is 12

Step-by-step explanation

6x2

Just multiply 6 by 12

The endpoints of AC are A(-8, 9) and C (1, -3). Point B(-2, 1) lies on AC. What
is the ratio AB: BC?
A 1:2
B
1:1
C) 2:1
D) 3:1

Answers

Answer:

c)2:1..................

Answer:

C

Step-by-step explanation:

Find the distance of AB:

Distance formula: [tex]\sqrt{[(-8)-(-2)]^2+(9-1)^2}[/tex]

[tex]\sqrt{(-6)^2+(8)^2}=\sqrt{36+64}=\sqrt{100}=10 units[/tex]

Find the distance of BC:

Distance formula: [tex]\sqrt{[(-2)-1]^2+[1-(-3)]^2}[/tex]

[tex]\sqrt{(-3)^2+4^2}=\sqrt{9+16} =\sqrt{25} =5 units[/tex]

AB=10 units

BC=5 units

AB:BC = 10:5=2:1

Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.

Question 8 plz will give brainlest

Answers

Answer:

the answer for question no 8 is. option second...ie 17

90-80*2-2
plz helpppppppppppppppppp

Answers

Answer:

18

Step-by-step explanation:

90-80=10

10*2=20

20-2=18

Answer:

90-80 x 2-2 = 0

Step-by-step explanation:

Firstly. subtract 80 from 90 to get 10.

90-80= 10

Then subtract 2 from 2, to get 0.

2-2=0

Lastly, for your answer multiply 10 by 0 to get 0.

10 x 0 = 0

,  Hope this helps :)

Have a great day!!

seventeen is less than twice the sum of a number and three

Answers

Answer:

no it would be more

Step-by-step explanation:

3+3=6 so not 17 at all

Answer:

x > 17/2 - 3

Step-by-step explanation:

17 < 2(x+3)

17/2 < x+3

17/2 - 3 < x

Plz help it’s due tonight!!!

Answers

Answer: AB≅EF, ∠B≅∠E, BC≅DE

Step-by-step explanation:

AB and EF are both marked with one line, making them congruent.

The same goes for BC and DE since they are marked with two lines.

Angles B and E are congruent because of the marking that is specified in both figures.

Which quadratic equation contains the three points (-4,12), (2,42), and (3,40)

Answers

The quadratic equation that contains the three points is y = -x² + 3x + 40

A quadratic equation is in the form:

y = ax² + bx + c

At point (-4, 12):

12 = a(-4)² + b(-4) + c

16a - 4b + c = 12      (1)

At point (2, 42):

42 = a(2)² + b(2) + c

4a + 2b + c = 2      (2)

At point (3, 40):

40 = a(3)² + b(3) + c

9a + 3b + c = 40     (3)

Solving equation 1, 2, and 3 gives:

a = -1, b =3, c = 40

y = -x² + 3x + 40

Hence the quadratic equation is y = -x² + 3x + 40

Find out more at: https://brainly.com/question/18269329

Chose the correct solution set for each graph.
{x1x2-2)
o {xxs-2}
(-2,00)
(-5,00)
(-00,-5)
{xlx>-5}
{x}x<-5}
{x1–2 {x12 {<1-3 <
(-2,3)
(3,-2)
[-2,2]
(-60,-2)
{x1x2-5}

Answers

Answer:

1.B&E

2.A&C

3.A&D

Step-by-step explanation:

thank me if you get it correct have a nice day:)

Answer:

B & E.A & C.A & D.

Step-by-step explanation:

Sixty tickets at $60 each cost

Answers

Answer:

360$

Step-by-step explanation:

you multiply I think?

Find the slope from this equation
y=3x + 9
Show me how please

Answers

Answer: 3

Step-by-step explanation:

The slope is given by the coefficient of x, in an equation of the form y=mx+c.

Here, the slope, m = 3

solve the inequality. 1/3b - 4 ≤ 4

if this posted twice i apologize. it's not showing that it posted ​

Answers

Answer:

B ≤ 24

Step-by-step explanation:

ANSWER PLZZZZZZZZZZZZZ

Answers

Answer:

to?

Step-by-step explanation:

pls help i give brainless

Answers

Answer:

1. 11 AM

2. 10:30 AM

Step-by-step explanation:

Answer:

Number 5 she started at 11:00 am

number 6 she started at 10:30 am

Step-by-step explanation:

:)

find the missing angles

Answers

Answer:

1: 41

2: 85

3: 95

4: 85

5: 36

6: 49

7: 106

A whale can swim at a speed of 500 m/min. How far does it swim in 1 hour?

Answers

Answer:

30000 metres or 30 kilometers (km)

hope this helps

Answer:

30,000 m or 30 km

Step-by-step explanation:

please give me brainliest

What’s the area of a 70 millimeter circle

Answers

Answer:

The area of the circle is 3,8550 mm

Step-by-step explanation:

given m || n, calculate the value of x

Answers

Answer:   x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

Answer:

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96

The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences.

Determine the number of tables by dividing [blank, it could be 754 or 6 ] by [754 or 6] If there is a remainder, the answer will need to be rounded [up or down] There [is or is not] a remainder, so [125, 126, or 130] tables are needed.

I'm sorry if it doesn't make sense. when there are the parenthesis those are the answer options btw! PLEASE ANSWER NO LINKS PLEASE​

Answers

Answer:

Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.

Step-by-step explanation:

does anyone know this?

Answers

Answer:

Cube

Step-by-step explanation:

To get to her parents' house, Karen would have to drive due north 9 miles. To get to her grandparents' house, she would have to drive due east 12 miles. What is the straight-line distance between the parents' and grandparents' houses

Answers

Answer:

in total 21 miles

Step-by-step explanation:

Help me please

x/3+12=2

Answers

Answer:

x = -30

Step-by-step explanation:

minus 12 on both sides

updated equation: x/3=-10

multiply 3 on both sides

updated equation

x = -30

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