The points (4, -17) and (8, r) lie on a line with slope 5. Find the missing coordinate r.

Answers

Answer 1

Answer:

The missing coordinate, 'r', is 3

Step-by-step explanation:

The given parameters of the two points are;

The coordinates of the given points = (4, -17) and (8, r)

The slope of the line on which the two points lie, m = 5

The formula for finding the slope of a line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]m =5 = \dfrac{r-(-17)}{8-4} = \dfrac{r + 17}{4}[/tex]

[tex]5 = \dfrac{r + 17}{4}[/tex]

5 × 4 = r + 17

r = 20 - 17 = 3

r = 3


Related Questions

it takes Diego 1/24 of an hour to complete a lap on a circular bike track. The track is 1/3 mile long. What is Diego's bike speed?

Answers

Answer:

Step-by-step explanation:

Will give brainliest

Answers

Answer:

26°

Step-by-step explanation:

Please brainliest me

In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11

Answers

Answer:

Population of wolves in 2016 = 23

Step-by-step explanation:

Equation of the line of best fit has been given as,

y = 1.5x - 1

Here, y = population of a pack of wolves

x = duration (in years) since year 2000

Duration between year 2000 and 2016 = 16 years

Now we substitute the value x = 16 in the equation of line of best fit,

y = 1.5(16) - 1

y = 24 - 1

y = 23

Therefore, population of wolves in 2016 = 23

PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

the third one

Step-by-step explanation:

bc like there are 2 boxes of 1 and 5 boxes of 1/6 so thats already 2 and 5/6 which applies to all of them. then there is 1 box of 1 and 2 boxes of 1/3 so thats 1 and 1/3 which applies to all of them also but when you make them have the same denominator you get 2 and 5/6 + 1 and 4/6 which deletes the second one. When you add you should get the same denominator so that deletes the first one so then you simplify that and the fraction should still be equal to the unsimplified fraction so you should get 4 and 1/2 if that makes sense

84 = 7d A. 8 B 12 C. 77​

Answers

Answer:

B

Step-by-step explanation:

84=7d

Divide by 7

12=d

I agree that the answer is 12, so B

What is the slope of the table:
х -5, -3, -1
y 0, 5, 10

Answers

Answer:

slope is 5/2

Step-by-step explanation:

(-5,0) (-3,5)

m = 5-0/-3-(-5)

m = 5/2

Compare -3 and 9. Which of the following is true?

Answers

3- is negative and 9 is a positive

can someone help me with this? ill give brainiest

Answers

Answer:

answer goes this way :

0

5

8

9

8

5

0

Answer:

0,5,8,9,8,5,0

Step-by-step explanation:

sub the values

What is m⦟3?

⦟1 and ⦟2 form a linear pair. ⦟1 and ⦟3 are vertical angles.

m⦟1 = 57°.

What is m⦟3?

Answers

57 degrees because vertical angles are the same measure

Line segment XY is located at X(2, 6) and Y(4,8). If the line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). What are the coordinates of X'?

Answers

Given:

Line segment XY is located at X(2, 6) and Y(4,8).

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).

To find:

The coordinates of X'

Solution:

If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:

[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is

[tex](x,y)\to (2(x-(-3))+(-3),2(y-4)+4)[/tex]

[tex](x,y)\to (2(x+3)-3,2y+2(-4)+4)[/tex]

[tex](x,y)\to (2x+6-3,2y-8+4)[/tex]

[tex](x,y)\to (2x+3,2y-4)[/tex]

The coordinate of X are (2,6).

[tex]X(2,6)\to X'(2(2)+3,2(6)-4)[/tex]

[tex]X(2,6)\to X'(4+3,12-4)[/tex]

[tex]X(2,6)\to X'(7,8)[/tex]

Therefore, the coordinates of X' are (7,8).

*WILL GIVE BRAINLEIST FOR THE BEST ANSWER* At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie is creating a scale model of this building, using the scale 250 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?


Enter your answer as a decimal in the box.


_______ m


Question 4 options:


A. 0.8



B. 4



C. 2

Answers

Answer:

0.8

Step-by-step explanation:

0.8x250=200, which is the closest tenth of a decimal.

Answer:

A. 0.8m

Step-by-step explanation:

1m/250m

1m/250m = x(m/212m

x=212/250

x=0.848

0.848m=0.8m

Write the equation of the line that passes through the points (1, -8) and (-4,4).
Put your answer in fully reduced point slope form, unless it is a vertical or horizontal
line.

Answers

The point slope form is 2x-y-9=0 simplified down
The pre reduced version is 8x-y-36=0

Let set A = (1,3,5,7) and set B(1,2,3,4,5,6,7,8)
Which notation shows the relationship between set A and set B7 (2 points)

Answers

I need this answer to

Find the distance between the two points.
(-1, -3), (1, 3)

Answers

Answer:

d = 6.324555

Step-by-step explanation:

d=√1−(−1))^2+(3−(−3))^2

d=√(2)^2+(6)^2

d=√4+36

d=√40

d=6.324555

D=Distance*

Distance between the two points is 6.32.

Another name for the upper quartile is the _______ quartile.

Answers

Upper Quartile can also be known as fourth quartile.

pls help this is the last question to complete the assignment

Answers

Answer:

Corresponding interior angles are supplementary and vertical angles are congruent

angle 1 is 98

angle 3 is 98

angle 4 is 82

angle 5 is 98

angle 6 is 82

angle 7 is 98

angle 8 is 82

Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
3 cm, 4 cm, 5 cm
4 cm, 10 cm, 14 cm
5 cm, 11 cm, 15 cm
06 cm, 6 cm, 13 cm
7 cm, 4 cm, 12 cm
8 cm, 10 cm, 17 cm

Answers

5cm I think or you can try 7cm

Can anyone help me please I am so confused and stuck so please help

Answers

I am assuming that it is division.

The answers are B and D.

What is 39 divided by 0????????????

Answers

Answer:

Your answer whould be 0 ;)

Answer: zero Divided by anything is always zero so the answer is zero.

(a^2- 8a- 26) / (a + 2) simplified

Answers

Answer:

a-10 - 6/a+2

Step-by-step explanation:

The simplification of the expression (a²- 8a - 26) / (a + 2) is (a - 10) - 6/(a + 2).

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given b,

(a²- 8a - 26) / (a + 2)

First quotient = a

Remainder = -10a - 26

Second quotient = -10

Remainder = -6

By quotient remainder theorem,

(a²- 8a - 26) = (a + 2)(a - 10) - 6

Thus,

[(a + 2)(a - 10) - 6]/(a + 2) = (a - 10) - 6/(a + 2)

Hence "The simplification of the expression (a²- 8a - 26) / (a + 2) is (a - 10) - 6/(a + 2)".

For more about the number system,

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#SPJ2

the value of the expression. -5.6 - ( 3.4 - 6.8)

Answers

Answer:

-2.2

Step-by-step explanation:

Answer:

-19.04 + 38.08 = 19.04

i need help with this question!! please help me

Answers

Answer:

a) all

b)all

c) square, rectangle

d) square

e) rhombus, square

Step-by-step explanation:

Please help!!!!!!!! PLEASE

Answers

Answer:

the correct answer is 6....

The answer to this is 6!

The question is in the photo. Please answer with the correct answer.

Answers

Answer:

18ft

Step-by-step explanation:

just add all the sides. since it’s a rectangle, you there is 2 sides that’s 3ft long and that are 6ft long. so you would do 3+3+6+6

Answer 18 ft
Explanation: 3x6=18

I rlly need help on this i forgot to do it last night and its due in 10 mins
pwease pwease help me im already failing math
if you come here for points ill reported you :)

Answers

Answer:

okkkkk wait I too need help right now,,,.

Solve the equation: 3√3x + 4 = -2​

Answers

Answer:

2√3/3

Step-by-step explanation:

3√3x=-6 divide both sides by 3√3 x=-2/√3 rationalize the denominator

Find the missing angle.

Answers

Answer:

45 Degrees

Step-by-step explanation:

This would be a right angle. The other side would be 45 Degrees. Which when you add them equals 90.

Answer:

45 degrees

Step-by-step explanation:

The following figure shown is a square

All of the angles in a square are right angles meaning that they equal 90

If a diagonal line cuts through the middle then it splits the right angle into to 45 degree angles therefore your answer is 45 degrees

John consistently saves
7/12
of his monthly salary. John's salary has recently been increased by $312.
As a result of the pay raise, John's monthly savings is now $1512. How much was John's salary before
the pay raise?

Answers

Answer:

2280

Step-by-step explanation:

As in understandable steps,

1512x12 = 18144

18144 / 7

= 2592

2592 - 312

= 2280

An equation is formed of two equal expressions. John's salary before the pay raise is $2280.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the pay of John before the raise be x.

As it is stated that John's pay was increased by $312. And he saves 7/12 of his pay which is equal to $1512. Therefore, the equation that can represent the current saving John has,

[tex]\dfrac{7}{12}(x+312)=1512\\\\(x+312) = \dfrac{1512 \times 12}{7}\\\\x+312= 2592\\\\x =2592-312\\\\x = 2280[/tex]

Hence, John's salary before the pay raise is $2280.

Learn more about Equation:

https://brainly.com/question/2263981

Erin needs to make at least a 75 on her semester exam to maintain a B in the class. Which number line correctly represents this situation?

Answers

Just need points so give me five stars

Determine the value of each of the following expressions.

−|−13| =


|6| =

Answers

The value of the first one is negative 13 the second 6
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