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

Solve the system of
equation using the
elimination method.
2x + y = 4
x - y = 2

Answers

Answer:

x=2

y=0

Step-by-step explanation:

I use symbolab it helps

HELP DUE IN 10 MINS! Find the missing side measurement.

Your answer should be a simplified radical or a whole number. (no decimals allowed)

x =

Answers

Answer:

9^2 + x^2 = 12^2

x^2 = 144 - 81

x^2 = 63

x = √63 = 3√7 or 8

hope that answers your question

Answer:

9^2 + x^2 = 12^2

x^2 = 144 - 81

x^2 = 63

x = √63 = 3√7 or 8

hope that answers your question

Step-by-step explanation:

Find the 92nd term of the arithmetic sequence -29, -22, -15, ...

Answers

Answer:

608

Step-by-step explanation:

The appropriate general formula here is a(n) = a(1) + (n -1)d, where d is the common difference.  Here, d = +7.  Thus:

a(92) = -29 + (92-1)(7) = 608

2y =x
Pls help, im taking a test, pls answer quick! Thx!

Answers

1/2
is the answer because Graph the line using the slope and y-intercept, or two points.

1
2
y-intercept:
(
0
,
0
)

Which equation is the inverse of y =2x^2 - 8?
A. y = + √x+8/2
B. y = +√x+8/2
C. y = + √ x/2 + 8
D. y = +√x/2 +4​

Answers

Answer:

a

Step-by-step explanation:

Find the volume. Round your answer to the nearest tenth and show your work

Maria is saving for a scooter that costs $170. She has $54 already. She gets an allowance of $8 each week. How many weeks w will it take for Maria to save at least enough money to buy the scooter? Write an inequality to represent the situation.

Answers

21 weeks and then she will have saved at least enough money to buy it .

Solve for R*
6r - 4 = 32
please help

Answers

Answer:

r is 6

Step-by-step explanation:

This is because 6x6=36 and 36-4=32

ANSWER FAST

True or False:
Women involved in the women's rights reform movement often also supported the abolitionist movement to end slavery.​

Answers

Answer:

true

Step-by-step explanation:

truuuuuusststttt me

Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)

Help p-p

Answers

3(-5y^2-3)
=-15y^2-9

Answer:

Step-by-step explanation:

this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :)  keep trying

this is called  "Distribution" and is used often

3(-5[tex]y^{2}[/tex] -3)

-15[tex]y^{2}[/tex] +9

if you need more explanation just put your questions at the comments of this problem ... i'll see them   :)

For the equation 3x = 15, what property do you use to solve it algebraically?


Addition Property of Equality

Subtraction property of Equality

Multiplication Property of Equality

Division Property of Equality​

Answers

Answer:

I believe it's "Multiplication Property of Equality"


will mark brainlest if correct! pls help

Answers

Answer:

See below.

Step-by-step explanation:

[tex] y_2 = 4x^2 [/tex]

[tex] x = 1 [/tex]

[tex] y_2 = 4(1)^2 = 4 = a [/tex]

a = 4

[tex] y_3 = 4^x [/tex]

[tex] x = 1 [/tex]

[tex] y_3 = 4^1 = 4 = b [/tex]

b = 4

[tex] y_1 = 4x [/tex]

[tex] x = 2 [/tex]

[tex] y_1 = 4(2) = 8 = c [/tex]

c = 8

[tex] y_3 = 4^x [/tex]

[tex] x = 2 [/tex]

[tex] y_3 = 4^2 = 16 = d [/tex]

d = 16

[tex] y_1 = 4x [/tex]

[tex] x = 3 [/tex]

[tex] y_1 = 4(3) = 12 = e [/tex]

e = 12

[tex] y_2 = 4x^2 [/tex]

[tex] x = 3 [/tex]

[tex] y_2 = 4(3)^2 = 36 = f [/tex]

f = 36

[tex] y_3 = 4^x [/tex]

[tex] x = 3 [/tex]

[tex] y_3 = 4^3 = 64 = g [/tex]

g = 64

What’s the volume of the rectangular prism

Answers

Answer:

24cm3

Step-by-step explanation:

Find the distance between the points (-3,-4) and (2,8) on the
coordinate plane.

pls hurry it’s for a quiz

Answers

Answer:

13 units

Step-by-step explanation:

The length/ distance would be 13

Which is the equation of a line that passes through the point (-3, 5) with a slope
of -2/3

Answers

The slope is( -2,3) because you start at the origin and walk up and go over 2

what is the distance between (0.-3) and (9.6)

Answers

Answer:

d = 12.7  when rounded to the nearest tenths

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (0, -3) and (9, 6)

d=√((9-0)²+(6-(-3))²)

d=√((9))²+(6+3))²)

d=√(81 + (9)²)

d = √162

d = 12.727...

d = 12.7  when rounded to the nearest tenths

Someone plz help me

Answers

2 3/8 • 2 1/2=
19/8 • 5/2=
95/16= 5 15/16 miles

A bookmark has an area of 21 square centimeters. Its perimeter is 20 centimeters. What are the dimensions of the bookmark?

Answers

Answer: The dimensions are 7cm and 3cm.

Step-by-step explanation:

The following equation can be deduced from the question

L × W = 21 ....... i

2L + 2W = 20 .......... ii

Divide equation ii through by 2

(2L + 2W = 20) / 2

L + W = 10 ....... iii

From equation iii

L = 10 - W ......... iv

Put equation iv into I

L × W = 21

(10 - W) × W = 21

10W - W² = 21

W² - 10W + 21 = 0

W² - 7W - 3W + 21 = 0

W(W - 7) - 3(W - 7) = 0

W - 3 = 0

W = 0+3

W = 3 centimeter

Since,

Length × Width = 21

Length = 21/3

Length = 7 centimeters

The dimensions are 7cm and 3cm.

BRAINEST, BEST WILL GET IF EXPLANED WELL

Answers

Answer:

4(x-2) isn't equal to the others because when simplified it is 4x-8

Step-by-step explanation:

A recipe calls for 1/8 cup of honey for every 1/3 tsp of vanilla. If you use 1 tsp of vanilla, how much honey will you need to use?
Just me tryna get caught up in math before my grading period ends tomorrow :)
be ready for a spam you math gods that i absolutely adore

Answers

Answer: 3/8 cups of honey (or 0.375 cups of honey in decimal form)

Steps:
1/8 * 3
= 3/8

20 POINTS ANSWER QUICK

Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3

Answers

Answer: C is not a mixed number

what is the unit rate of 2 = 4.5 of a unit rate

Answers

Answer:

1 = 2.25

Step-by-step explanation:

4.5/2 = 2.25

Meaning 1 is 2.25

Hope this helped!

Answer:

2.25

Step-by-step explanation:

1. Calculate the area of the figure below. Show all of your calculations (distance and area) for full credit.

Answers

Answer:

Not enough information. Where is the picture?

Step-by-step explanation:

Please add picture.

Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing temperature by 7 degrees Celsius. What is the freezing temperature of the gallon of salt water?

Answers

Answer:

-7°C

Step-by-step explanation:

Freezing point of water = 0°C

By adding salt, freezing point lowers by 7°C ;

The freezing point of salt water can be expressed as ;

Since temperature lowers :

Freezing point of salt water :

Freezing point of water - 7°C

0°C - 7°C

= - 7°C

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft, what is the volume of the tank?

Answers

Answer:

96π cu ft.

Step-by-step explanation:

V = Bh      B = area of the base     h = height

The base is a circle, so [tex]B = \pi r^{2} = \pi 4^{2} = 16\pi[/tex]

V = 16π(6) = 96π cu ft.

The volume of the cylinder is 301. 6 cu. ft.

What is the volume of the cylinder?

[tex]V=\pi \times r^2\times h[/tex]

where r is the radius of the cylinder and h is the height of the cylinder

For given question,

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,

[tex]\Rightarrow r=4~ft,~h=6~ft[/tex]

We need to find the volume of the cylinder.

Using the formula of the volume of the cylinder,

[tex]\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.[/tex]

Therefore, the volume of the cylinder is 301. 6 cu. ft.

Learn more about the volume of the cylinder here:

https://brainly.com/question/16134180

#SPJ2

PLEASE HELP QUICK!! ILL GIVE THE BRAINLIEST!!

Ms. Williamson is looking at data to determine (figure out) how long to make her slide shows for class. It takes her about 7 minutes per example problem when she is teaching in front of the class. Write an equation to compare the number of example problems and total minutes of teaching.

Answers

Answer:y=7x+y

Step-by-step explanation:

NEED HELP ASAP I will give BRAINLIST

Line BD intersects line CE and the measure of ∠BAC
is 6° more than twice the measure of ∠CAD

If m∠DAE=122°
, which equation can be solved for x, the measure in degrees of ∠CAD
?

A
3x+128=180
B
2x+6=122
C
2x+128=180
D
3x+6=122

Answers

2737374838219293xjdjeisosidjrjds

Please give me the correct answer.​

Answers

Answer:

The rate of change is 2 euros.

Step-by-step explanation:

You can see on the graph the cost goes up 2 euros each hour. Hope this helps!

It’s 2 1:14 1:16
16-14 =2
Then same things for every other number/ratio
Rate of change = 2

If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years?

Answers

Answer:

1.516 

Step-by-step explanation:

A Person Places Rs 500 in a Accout that is intrest compounded continuously Assuming no additional deposits or withdrawals, How much will be in the Account After seven years If the interest rate is Constant 8.5 percent for the first four year and a constant 9.25 percent for the last three years. So you get The percent 1.516 

Find the unit rate.Round to the nearest hundredth,if necessary. 370 for 12 ft2. The unit rate is $ _______/ft2 I NEED HELP!!!

Answers

Answer:

30.80

Step-by-step explanation:

$370/12ft^2

hope this is helpful ! stay safe, God Bless you and your family...!

If you want to bowl six games which ally is better show work

Answers

Answer:

Pinz

Step-by-step explanation:

So to set up the equation for Lanez:

y = 3.5 + 4.25x

Next we compare the prices for both overall by plugging 6 games in as x:

Lanez:

y = 3.5 + 4.25(6)

y = 3.5 + 25.5

y = 29

Pinz:

y = 3.75 + 4(6)

y = 3.75 + 24

y = 27.75

29>27.75

Lanez is more expensive with it costing $29 for a night as opposed to the $27.75 one would pay to play at Pinz.

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