The points (-3, -3) and (5, r) lie on a line with slope 3/2
Find the missing coordinate r.

Answers

Answer 1

Answer:

The missing coordinate [tex]r[/tex] is 9.

Step-by-step explanation:

Given the points [tex]P(x,y) = (-3,-3)[/tex] and [tex]Q(x,y) = (5,r)[/tex], the slope of a line passing the two points ([tex]m_{PQ}[/tex]) is determined by equation of secant line:

[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)

[tex]m_{PQ} = \frac{r-(-3)}{5-(-3)}[/tex]

If we know that [tex]m_{PQ} = \frac{3}{2}[/tex], then the value of [tex]r[/tex] is:

[tex]\frac{3}{2} = \frac{r+3}{8}[/tex]

[tex]12 = r + 3[/tex]

[tex]r = 9[/tex]

The missing coordinate [tex]r[/tex] is 9.


Related Questions

Please help me with my homework! I accidentally answered 2 lol

Answers

Answer: 1 is independant

Step-by-step explanation: 2 is dependant. GOT IT CORRECT TRUST ME!!!

12 6x−9y>12 what inequalities is equivalent to the inequality

Answers

Answer:

use mathpapa.com for those type of questions it always helps

Step-by-step explanation:

8.5 as a improper fraction in its simplest form please

Answers

Answer:

9/2

Step-by-step explanation:

8.5 is the same as 8 5/10.

5/10 can be simplifed to 8 1/2

8 1/2 in improper form is 9/2

Hope this helps!

I need help with 2.04, 2.06 and 2.08!!

Answers

Answer:

Sorry I can't help with2.08

Hope the remaining helped

PLS mark BRAINLIEST

City y is 10 miles north of city x city z is 24 miles east of city x how long is the straight roads connecting cities y and z?

Answers

Answer:

26 miles

Step-by-step explanation:

Using Pythagoras rule :

d = straight road connecting city Y and Z :

d = sqrt(xy² + xz²)

d = sqrt(10² + 24²)

d = sqrt(100 + 576)

d = sqrt(676)

d = 26 miles

What is 4 & 1/2 ÷ 1/4?

Answers

Answer:

18

Step-by-step explanation:

Convert the mixed number to an improper fraction 9/2÷1/4

Reduce the numbers with the greatest common factor 2

and then multiply the numbers 9×2=18

18 is the correct answer

****PRE ALGEBRA - HELP ASAP BRAINLIEST & 15 PTS****

Answers

Answer:

x = 3

y = -2

(3,-2)

Step-by-step explanation:

I hope this helps!

A bag of apples weighs 8 4 10 pounds. A crate of bananas is 5 times as heavy as the apples. How much heavier are the bananas than the apples?

Answers

Answer: 33640 pounds
Explanation: 8410 times 5 is 42050, - 8410 = 33640

In ΔGHI, the measure of ∠I=90°, GH = 8.5 feet, and IG = 4.7 feet. Find the measure of ∠G to the nearest tenth of a degree

Answers

Answer:

56.4

Step-by-step explanation:

is it a abc or d please help asap

Answers

Answer:

The answer is D

Step-by-step explanation:

Student Council is selling tickets to the Winter
Dance. Tickets cost $5 per person or $8 per
couple. To cover expenses, at least $1200
worth of tickets must be sold. No more than 500
students can fit in the gym where the dance is
being held.
List two combinations of tickets that could be sold, so
that Student Council makes a profit, yet stays under the
room capacity.

Answers

Answer:

Two possible combinations are;

1) 200 single and 30 couples

2) 150 single and 57 couples

Step-by-step explanation:

The given parameter in the question are;

The cost of ticket per person = $5

The cost of tickets per couple = $8

The minimum worth of tickets to be sold = $1,200

The maximum number of students that can fit in the gym = 500

Let 'x' represent the number of single persons that attend the dance and let 'y' represent the number of couple that attend, we have;

5·x + 8·y ≥ 1,200

x + y ≤ 500

Making 'y' the subject of both equations gives;

y ≥ 150 - 5·x/8

y ≤ 500 - x

From the graph of the inequalities created with Microsoft Excel, we have;

When x = 200, and y = 30, we get;

5 × 200 + 8 × 30 = 1240 > 1200

200 + 30 × 2 = 460 < 500

We also have;

x = 150, and y = 57, we get

Equating both values of 'y', we get;

5 × 150 + 8 × 57 = 1206 > 1200

150 + 57 × 2 = 264 < 500

Therefore, from the acceptable region in the graph, we have the following two possible combinations

1) 200 single and 30 couples

2) 150 single and 57 couples

pls help me Solve the equation -7y + 4 =60 *

Answers

Answer:

y=−8

Step-by-step explanation:

−7y+4=60

Subtract 4 from both sides.

−7y=60−4

Subtract 4 from 60 to get 56.

−7y=56

Divide both sides by −7.

y=−56/7

Divide 56 by −7 to get −8.

y=−8

Grapf if needed:

Which of the numbers below is greater than -2.4? Select all that apply.
A) 1.3
B) −3.6
C) −2
D) −32
E) −5

Answers

Answer:

A) 1.3 and C) −2

Step-by-step explanation:

A & C are greater then -2.4

Will give brainlest

The figure is made up of a cylinder and a cone. What is the exact volume of the figure? Enter your answer in the box.​

Answers

Answer:

V=160.22114

Step-by-step explanation:

Volume of cone = 47.12389

Volume of cylinder = 113.09734

in a class, the ratio of boys to girls is four to three. if there are 20 boys in the class, how many girls are there? process plss

Answers

15 i think????jdjdnrndrnrnd


Mrs. Sanchez went to the hair salon.
The cost of her haircut and style was
$44.35, before tax. The sales tax rate
was 8%. If she added a 20% tip to the
total amount before tax, how muchM
did she pay for the service at the
salon? (Sales tax is paid only on the
service, not the tip.)

Answers

Answer:

$53.22

Step-by-step explanation:

$53.22

Sorry If I am wrong

can someone help me with number one please

Answers

Answer: y=1/4x-5

Step-by-step explanation:

1/4 is the slop

-5 is the y-intercept

Y=mx+b (slope-intercept form)

m=slope

b=y-intercept

y=1/4x-5

-36 is greater than -35
True or false

Answers

Answer:

That is false. -36 is less than -35

False, this is because the more negative a number is, the lesser is becomes.

what is the surface area​

Answers

Answer:

The surface area of the rectangular prism is 748 ft2.

Step-by-step explanation:

formula for surface area: A=2(wl+hl+hw)

A=2(wl+hl+hw)=2(5x16+14x16+14x5)=748

Answer:

748 ft²

Step-by-step explanation:

For the surface area, you need to add up the area of all sides, six in this example, but it can be simplified into three by multiplying some of them by two as its presumed a rectangle

x1 = 5*14*2 = 140

x2 = 16*14*2 = 448

x3 =16*5*2 = 160

You find the sum of these; 140 + 160 + 448 = 300 + 448 = 748

I need adjacent angle pair and vertical

Answers

Answer: Adjacent Angles: (1,2) and (3,4)

Vertical Angles: (1,3) and (2,4)

Step-by-step explanation:

Adjacent means that the two angles add up to 180 (in other words they form a straight line).

Vertical means that they are opposite from each other and have the same equal value.

hope this helps :)

Answer:

Adjacent angle are 4,2 and 1,3. The Vertical angles are 1,2 and 3,4.

Step-by-step explanation:

please help!!! - The price of an item has been reduced by $1.08. The new sale price is $98.75. What was the original price?

Answers

Answer:

my answer is 106.65 that is times

Answer:

$99.83

Step-by-step explanation:

The original price was lowered by $1.08, so the new price is $1.08 less than the original. Since the new price is $98.75, subtract $1.08 to get the original price. $98.75- 1.08= $99.83

Complete the square
to find the vertex
of this parabola.
x?+8y+2x - 23=0

Answers

Answer:

The vertex of the parabola is;

([-1], [3])

Step-by-step explanation:

The given quadratic equation is presented as follows;

x² + 8·y + 2·x - 23 = 0

The equation of the parabola in vertex form is presented as follows;

y = a·(x - h)² + k

Where;

(h, k) = The vertex of the parabola

Therefore, we have;

x² + 8·y + 2·x - 23 = 0

8·y = -x² - 2·x + 23

y = 1/8·(-x² - 2·x + 23)

y = -1/8·(x² + 2·x - 23)

y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)

y =  -1/8·((x + 1)² - 24) =  -1/8·(x + 1)² + 3

Therefore, the equation of the parabola in vertex form is y =  -1/8·(x + 1)² + 3

Comparing with y = a·(x - h)² + k, we have;

a = -1/8, h = -1, and k = 3

Therefore, the vertex of the parabola, (h, k) = (-1, 3).

Pleas help me, please explain how you got your answer :)​

Answers

Answer:

im not sure but i think its e,c,f

Step-by-step explanation:

Answer:

55 °

Here's the way i got my answer :

Complementary angles are two angles that have a sum of 90° ,therefore 35° + X = 90°

X=55° .

to get ∠DBF

180° - 90° = 90 °

to get ∠EBF

∠CBD + ∠DBE + ∠EBF = 180°

35° + 90° + ∠EBF = 180°

∠EBF = 55°

Dana ordered 6 pizzas for her party and each pizza is sliced into quarters. She says in order to find out how many slices there are, she needs to calculate
6 ÷ 0ne fourth. Which multiplication expression will also solve the problem of how many slices there are?

A.24 × one sixth

B.4 × one sixth

C.6 × one fourth

D.6 × 4

plzzzzz help I'm not good at math

Answers

Answer:

d

Step-by-step explanation:

D is the correct answer because when you divide 6 by one forth its just like 6x4

Which expression is equivalent to x + x + 4y?
A)
4xy
B)
6xy
C)
6 + xy
D)
2x + 4y

Answers

Answer:

The answer is b

Step-by-step explanation:

b is  6xy

2x+4y is the equivalent expression of x+x+4y.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  x + x + 4y

x plus x plus four times of y.

In the given expression x and y are two variables.

Equivalent expressions are expressions whose value will remain same after simplifying or solving.

We need to add x variable terms once and then with y term

x + x + 4y

2x+4y

Hence, 2x+4y is the equivalent expression of x+x+4y.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord, the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord stretches. What is the constant of proportionality in her equation?

Answers

A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord 36 , the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord 25 this us What is the constant of proportionality in her equation? Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.

NEED HELP ASAP I WILL GIVE BRAINLIST


What is the value of x in this diagram?

A
28
B
33
C
43
D
47

Answers

Answer:

The angle X = 33° Brainliest pls!

Step-by-step explanation:

180-104 = 76, 76- 10 = 66, 66/2=33

When would you use a pictograph? to compare change over time if the data is numerical to save space for a large set of data if the data is categorical

Answers

Answer:

to save space for a large set of data

if the data is categorical

Step-by-step explanation:

The pictograph is used if the data is categorical

What is a pictograph?

A pictograph is a type of graph that uses pictures or symbols to represent data. It is best used when the data is categorical or non-numerical. For example, a pictograph can be used to show the favorite types of fruits of a group of people or the most popular colors of a group of cars.

Pictographs are useful for presenting data in a visually appealing way that is easy to understand, especially for younger or less experienced readers. They are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.

Given data ,

Let the pictograph be represented as A

Now , pictographs are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.

For example, if you want to show how the population of a city has changed over the years, a line graph or a bar graph would be a better choice than a pictograph

Hence , pictographs are useful if there is categorical data

To learn more about pictographs click :

https://brainly.com/question/768035

#SPJ2

selling price is €280 and percentage profit is 40 percent what is the profit in euro's and the cost price?

Answers

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

what is the length of BC ?

Answers

The answer is c.

Since a^2+b^2=c^2, b^2=c^2-a^2 thus,
16=4-b^2= srt. of 12

Answer:

b = √12

Step-by-step explanation:

Pythogerom Thyrom

a^2 + b^2 = c^2

2^2 + b^2 = 4^2

4 + b^2 = 16

Find the value of b

4 - 4 + b^2 = 16 - 4

b^2 = 12

b = √12

Other Questions
PLLLzzzzzzzz helpppp Which is correct lab safety? A) Rodney wafted the fumes produced during the reaction toward his nose. B) Andrew heated the test tube towards himself in order to better observe the reaction. Eliminate C) Kadie was aware of the lab procedures that day so she began the lab before the rest of the class to be sure she would finish. D) Suzanne did not use all of the sulfuric acid she poured out for the experiment, so she returned the remainder to the stock bottle. w/9 = 0.7 solve equation what is( w) 2. What happened to the territories that had been given to the Central Powers in the Treaty of Brest-Litovsk 5) Last week, you sold 375 tacos, but.this week you only sold 250 tacos. Whatis the percent of change? You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?8 more girls; 3 for every 5There are _ boys and _ girls in the class. the underlined word.1. Some say he impaled 40,000 people. Others sayit was closer to 100,000. In any case, hecondemned a staggering number of people tothis slow and agonizing kind of death.A astonishingB unsteadyC arrangementD small128ex A car traveling at 5m/s starts to speed up after 3 seconds its velocity has increased to 11 m/s what is its acceleration 2. Image formed by a plane mirror is(a) virtual and erect(b) real and erect(c) virtual and inverted 2. a) Write the next two terms of the following sequence and write the rule. ( /3)11, 15, 19, 23, 27, ______, ______Rule: ___________________________________________________b) Write an example of a Fibonacci sequence.__________________________________________________________ no wronge ans or report An ice cream factory makes 120 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours? Choose a recent event from your local, national, or world news. In 6-8 complete Spanish sentences, describe the event in detail.What happened? Where did it happen? Who was involved? What was the outcome? What is your opinion about this event?Record your response. Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 oranges and 7 apples for a total of $4.90. Kyra spent a total of Response area on apples for the two days. What percentage of the flower in the garden are white? A 20%B 40%C 60%D 90% Rewrite the sequence in the function form 2,6,18,54 What is the term used for secretions of endocrine glands responsible for changes taking place in the body? need answer. pls help If you but t tacos for c dollars what is the unit rate Graph x + 4y = 8.identify the x intercept step by step explanation Will mark brainliest and give 11 points if you give explanation The probability that Jessica will strike oil is 18%. If she drills 14 wells, find the probability that she will make exactly 4 strikes.