Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equation.

(2,-2) and (5,9)

Answers

Answer 1

Answer:

3y = 11x-16

Step-by-step explanation:

The general equation of a line that passes through two points can be written as;

y = mx + b

where m is slope and b is the y-intercept

Mathematically in this case;

m = (9-(-2)/(5-2) = 11/3

To write the equation, we use the one-point form

y-y1 = m(x-x1)

(x1,y1) = (2,-2)

y + 2 = 11/3(x-2)

y = 11x/3-22/3+ 2

y = 11x/3 -16/3

so;

3y = 11x - 16


Related Questions

1. Marlin averages for his Social Studies class is listed below. If the teacher
weights homework at 20%, quizzes at 20%, tests at 45%, and the final exam
at 15%, what is Marlin's class average?
1)61%
2)71%
3)74%
4)82%

Answers

The answer is 2) 71%

(-5,3) (-7, 0)
What’s the slope of the line containing the two points

Answers

Answer:

The slope is 3/2 or 1.5

Step-by-step explanation:

To find the slope, simply divide the rise by the run. The rise of this line can be found by subtracting one y coordinate by another (it doesn't matter which by which). The run can be found by subtracting one x coordinate by another (it doesn't matter which by which).

So, let's say, for the y coordinates, I choose to subtract 3 by 0. 3 - 0 = 3. 3 is your rise.

For the x coordinates, I can choose to subtract -5 by -7. -5 - (-7) = 2. 2 is your run.

The slope is rise/run, so your answer is 3/2, which, in decimal form, is 1.5.

Hope this helped!

A study showed that the ratio of the number of people who get their news from social media to the number of people who get their news from other sources is 3:7. Based on this ratio, how many people in a town of 900 get their news from social media? *

Answers

Answer: 240 people get the news from social media
Step-by-step explanation:
The ratio of the number of people who get their news from social media to the number of people who their news elsewhere is 3:7
Total ratio is the sum of the proportion of those that get their news from social media and those that got their news elsewhere.
It becomes 3+7 = 10
Total number of people in the town is 800
To determine the number of people that got their news from social media, we will divide the proportion of those that get their news from social media by the total ratio and multiply by the total number of people in the town. It becomes
3/10 × 800 = 240

Please help me with this problem!!

Answers

it’s 2 times the variable

A figure is shown.
73°
What is the measure of angle x, in degrees?
PLEASE HELP

Answers

Answer:36.5

Step-by-step explanation:

What is the circumference of a circle with a diameter of 10 feet? Use 3.14 as π

Answers

Answer:

31.4

Step-by-step explanation:

Happy holidays and have a great break!

Solve F(x) for the given domain.

F(x) = x 2 + 3x - 2

F(1) =

2
3
30

Answers

Answer:

f(1) = 2

Step-by-step explanation:

To find f(1), substitute x = 1 into f(x), that is

f(1) = 1² + 3(1) - 2 = 1 + 3 - 2 = 2

Tom buys a shirt for $22.00 plus 7% sales tax. His cousin buys a shirt for $18.00 plus 4% sales tax.
A how much do Tom and his cousin pay for the shirts ( show your work )
B who spent more on tax

Answers

A: Tom spent $23.54, Cousin spends $18.72,
B: Tom spent more on tax

10)
M
p
By which rule are these triangles congruent?
A)
AAS
B)
ASA
SAS
D
SSS

Answers

Answer:

B)

ASA

Step-by-step explanation:

Angle K, Side KN, Angle N

A 25 ​-pound bag of dog food costs ​$20.25 A35 ​-pound bag of the same dog food costs ​$27.65 Which bag of dog food is the better​ buy?

Answers

Answer:

The 35 pound bag

Step-by-step explanation:

If you divide the price of the 25 pound bag by the number of pounds it has you get 0.81 dollars per pound

20.25 / 25 = 0.81

However if you divide the price of the 35 pound bag by the number of pounds it has you get 0.79 dollars per pound

27.65 / 35 = 0.79

This means you get more dog food for less in the larger 35 pound bag

My you pls answer this questions

Answers

Step-by-step explanation:

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Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute, Joey has eaten 11 1/4 hot dogs. Let ddd represent the number of hot dogs Joey eats per minute for the next 999 minutes. Which inequality represents the number of hot dogs per minute Joey could eat for the last 999 minutes to break his record?

Answers

Answer:

d > 6 3/4

Step-by-step explanation:

Given that:

72 hot dogs in 10 minutes is required to break Record ;

Consumption after 1 minute = 11 1/4 hot dogs

Number of hotdogs consumed per minute for the next 9 minutes = d

Number of consumption per minute required to break record :

d = (72 - 11 1/4) / 9

d = (60 3/4) ÷ 9

d = (243 / 4) * 1/9

d = 243 / 36

d = 6 3/4 hotdogs per minute

Hence, to break record. Consumption must be > 72 hotdogs in 10 minutes

Hence,

d > 6 3/4

Walmart is having a huge 25 % off sale!!!
If the SALE PRICE for a PS4 is $300, what was the ORIGINAL PRICE?

Answers

9514 1404 393

Answer:

  $400

Step-by-step explanation:

If the price after taking 25% off is $300, then $300 is 75% of the original price.

  $300 = 0.75p

  $300/0.75 = p = $400

The original price was $400.

_____

Check

0.25 × $400 = $100

$400 -100 = $300 . . . . the price after taking 25% off

f(x) = |2x + 1| + 3
g(x) = -2
find (f + g)(x)
A.(f + g)(x) = |2x + 2|
B.(f + g)(x) = |2x| + 2
C.(f + g)(x) = |2x + 1| + 1
D.(f + g)(x) = |2x + 4| - 2

Answers

Answer:

(f + g)(x) = I2x + 1I + 1 ⇒ C

Step-by-step explanation:

Let us solve the question

f(x) = I2x + 1I + 3

g(x) = -2

→ We need to find (f + g)(x), which means add the two functions

(f + g)(x) = f(x) + g(x)

→ Substitute the right side of each function on the right side

∴ (f + g)(x) = I2x + 1I + 3 + (-2)

→ Remember (+)(-) = (-)

∴ (f + g)(x) = I2x + 1I + 3 - 2

→ Add the like terms in the right side

∵ (f + g)(x) = I2x + 1I + (3 - 2)

(f + g)(x) = I2x + 1I + 1

The ratio of the number of boys to girls the number of girls in the school 729 and there are 1248 students in the school how many girls are there

Answers

Answer:

1005 girls

Step-by-step explanation:

From the question we are given ratio of boys to girls as 7 : 29

Total ratio will be 7 + 29 = 36

Total students in the school = 1248 students

Number of girls in the school = 29/36 * 1248

Number of girls in the school = 29 * 35

Number of girls in the school  = 1005

Hence the approximate total number of girls in the school is 1005 girls

Note that the ratio was assumed since we are not given in question

f(x) = 3x2 + 2 and g(x) = x2 – 9,

Answers

The correct answer for this is shown below in the picture

The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?

Answers

Answer:

56 feet

Step-by-step explanation:

The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?

From the above question, our ratio is given as:

Width : Length

5 : 7

Width = 40 feet ,

To solve for the Length, let us represent the length as x

Width/Length

= 5/7 = 40/x

Cross Multiply

5 × x = 7 × 40

x = 7 × 40/5

x = 56 feet

Hence: The length of the rectangular flower bed = 56 feet

A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 6square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Answers

Answer:

2 1/7 pieces

Step-by-step explanation:

A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Each sheet of cardboard = 2 1/2 square feet

Each smaller pieces of cardboard = 1 1/6 square feet

Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷

Each smaller pieces of cardboard

= 2 1/2 square feet ÷ 1 1/6 square feet

= 5/2 ÷ 7/6

= 5/2 × 6/7

= (5*6) / (2*7)

= 30/14

= 15/7

= 2 1/7 pieces

Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces

if the system of equations has no soloution what does the graph look like ?

Answers

When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

What rule should you use? help ​

Answers

Answer:

Sine

Step-by-step explanation:

Using the Law of Sines, you can solve triangles when given two angles and a side.

A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?

Answers

Answer:

i just need  more points so sorry im not helping

Step-by-step explanation:

im just a blank bc it doesnt let me say it seventh grader

Answer: 12

Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12

(5x — 3y) (5х + 3у)​

Answers

252−92

Answer up there

Answer:

[tex]25x^{2} - 9y^{2}[/tex]

Step-by-step explanation:

5x*5x=[tex]25x^{2}[/tex]

3y*3y= [tex]9y^{2}[/tex]

why isn't anyone answering this?

Answers

sorry bro but it makes no sense

What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth

Answers

Answer:

7

Step-by-step explanation:

First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3

Which gives you 2/3 (9x - 6)

Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3

then you divide 6/3 with 2

Getting 2 (3x - 2)

The use the distributive law

2 x 3x - 2 x 2

simplify the equation

6x - 4

expand 4 (x +2) + 2:   4x + 10

which then equals 6x-4=4x+10

add 4 to both sides

6x-4+4=4x+10+4

simplify

6x=4x+14

subtract 4x from both sides

simplify again

2x=14

divide both sides by 2

2x/2 = 14/2

simplify one last time and get the answer

x=7

Given the expression below and based on the values that are given, what will the sign of the product be? -4*(-8/9)*2.78*(1 1/3)*(-2/5)*(-6.2)*(0.2873)*(3 1/11)* A

Answers

Answer:

The sign on the end result is +

Step-by-step explanation:

Given

[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex]

Required

Determine the sign of the result

To do this, we simply write out the product of the sign of individual digit.

[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex] becomes

[tex]- * - * + * + * - * -* + * +[/tex]

Group the product in 2's

[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex]

As a general rule:

[tex]- * - = +[/tex]

[tex]- * + = -[/tex]

[tex]+ * - = -[/tex]

[tex]+ * + = +[/tex]

Apply this rule on the above;

[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex] becomes

[tex]+ * + * + * +[/tex]

Group in 2's

[tex](+ * +) * (+ * +)[/tex]

Apply the rule

[tex]+ * +[/tex]

Finally, this gives:

[tex]+[/tex]

Hence, the sign on the end result is +

What are the coordinates of point (-2, 4) after a 180 degree rotation?

Answers

Answer:

(2,-4)

Step-by-step explanation:

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

Hey Sorry I was not able to get the whole graph but it is the same on both sides except for the negative

If you answer this I will give Brainlyist

Answers

Answer:

The first one goes in between 1 and 2 because its a half and the other one goes on 2 because its 2.

Hope this helped, 0Drink0Milk0

12 is 90% of what number?


12% of 72 is what number?

Answers

Answer:

12 is 90% of what number? 13.33

12% of 72 is what number? 8.64

The first one is 13 rounded up. You do the is/of. 12 = is and the of is unknown. next you do 90% over 100. You have now 12/? and 90/100. You multiply the 12 by 100 and get 1,200 then divide by 90 and I got 13.3 or round it up to 13.

 
Can someone pleaseee help if you’re correct I’ll
Give u brainlist !

Answers

Answer:

Step-by-step explanation:

The blank should be filled in with "Definition of Angle Bisector" because you're told that UW is a bisector of angles VUX and VWX which means that it splits those angles exactly in half.

Select the correct answer Simplify the expression -3 divided by (-2/5)

Answers

Answer:

[tex]7 \frac{1}{2}[/tex]

Step-by-step explanation:

(-3) ÷ (-2/5) = [tex](-3) * \frac{-5}{2}[/tex]

                 [tex]= \frac{15}{2}\\\\= 7 \frac{1}{2}[/tex]

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