Line v passes through points (5, 4) and (10, 2). Line w is perpendicular to v. What is the slope of line w?

Answers

Answer 1

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation that goes through (5,4) and (10,2)

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}}\implies \cfrac{-2}{5} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{2}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{2}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{2}\implies \cfrac{5}{2}}}[/tex]


Related Questions

Which table does NOT represent a linear function?

Answers

Answer:

3rd

Step-by-step explanation:

3rd one because rate of change is not same

18 - 15 / 0 - -1 = 3

20 - 18 / 1 = 2

21 - 20 / 1 = 1

Answer: i honestly think it would be the table with:

-1,15

0,18

1,20

2,21

Step-by-step explanation: hope this helped ty for the points

Situation. 11. The weather channel reported overnight rainfall of 1.5 inches and an average of 0.5 inches each hour for the remainder of the day. After how many hours will there be more than 5 inches of rain?​

Answers

Answer: The amount of precipitation that falls around the world may range from less than 0.1 inch per year in some deserts to more than 900 inches per year

Step-by-step explanation:

Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.

Answers

The area of the pool is the amount of space it occupies

The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Let the dimension of the pool be x and y, where x represents width and y represents length.

So, the relationship between the width and the length is given as:

[tex]\mathbf{y = 15 + x}[/tex]

The area of the pool would be:

[tex]\mathbf{A = xy}[/tex]

Substitute 15 + x for y

[tex]\mathbf{A = x(15 + x)}[/tex]

Open bracket

[tex]\mathbf{A = 15x + x^2}[/tex]

And the perimeter of the pool would be

[tex]\mathbf{P = 2(x + y)}[/tex]

Substitute 15 + x for y

[tex]\mathbf{P = 2(x +15 + x)}[/tex]

[tex]\mathbf{P = 2(2x +15)}[/tex]

Open brackets

[tex]\mathbf{P = 4x +30}[/tex]

Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Read more about areas and perimeters at:

https://brainly.com/question/11957651

Plz help I need help

Answers

Answer:

a is 4 because 4 x 16=20 i hope this help

Answer :

a + 16 = 20

a = ?

a = 20 + 16

a = 36

a = 36 ✔️

What is the reciprocal of
5/6

Answers

Answer:

6/5

Step-by-step explanation:

From a group of 15 men and 12 women, how many ways can you select a group of 2?
Answer:

Answers

The total number of ways this can be done together is 105 × 66 = 6930

This is a combination question question it has to do with selection.

In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;

15C2 = 15!/(15-2)!2!

15C2 = 15!/13!2!

15C2 = 15×14/2

15C2 = 105 ways

Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;

12C2 = 12!/(12-2)!2!

12C2 = 12!/10!2!

12C2 = 12×11/2

12C2 = 66 ways

The total number of ways this can be done together is 105 × 66 = 6930

Learn more about combination here: https://brainly.com/question/14492965

What is the answer to 4/5w = 8

Answers

Answer:

w = 10

Step-by-step explanation:

[tex]\frac{4}{5}w=8~(Given)\\\\\frac{5}{4}(\frac{4}{5}w)=\frac{5}{4}(8)~(Multiply~5/4~on~both~sides)\\\\w=10~(Simplify)[/tex]

Answer:7 1/5

Step-by-step explanation:

-4/5 on each side

'and you get w= 7 1/5

A coin is flipped 10 times. What is the probability of getting exactly 4 tails?

Answers

Answer: The probability is approximately 20.51%.

Step-by-step explanation:

ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?

Answers

Answer:

The answer is 7 she Can Buy 7 packages of cookies.

Step-by-step explanation:

1. 15-5.50=9.50

2.9.50-7.75=1.75

3. 1.75-0.25*7=0

She wouldn't have any money left over to buy it

a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances. ​

Answers

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft

please help.......,................​

Answers

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

Pre college need help

Answers

Answer:

No

Step-by-step explanation:

Substituting into both equations proves that the second equation does not work for the ordered pair provided

Answer:

No

Step-by-step explanation:

2+(-5)=3

4(2)+3(-5)=-7

What is a number and how do i get it when i do the thing?

Answers

Answer:

number is a mathematical object used to count, measure, and label. ... Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called numerals; for example, "5" is a numeral that represents the number five.

evaluate the expression when a=4 and b=-3.

-a+7b​

Answers

Answer:

-4+7x-3=-21+-4=-25

Step-by-step explanation:

The value for -a+7b will be -25

Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form

Answers

y=2/3x -3

the picture is the explanation

How many groups of 1/2 are in 7

Answers

Answer:

14

Step-by-step explanation:

There would be 14 groups of 1/2 in seven

If X = -6 and Y = 10 then find |x|-|3y|/|xy|

Answers

Answer:

(2)

Step-by-step explanation:

Question 1
2 pts
A game uses a single 6-sided die. To play the game, the die is rolled one time, with the
following results:
• Even number = lose $7
1 or 3 = win $2
5 = win $8
.
.

Answers

Answer:

sorry 400

Step-by-step explanation:

If 1 + 2 = 1, 2 + 3 = 2, 3 + 4 = 3, 4 + 5 = 4, … 50 + 51 = 50 and 51 +
1 = 51, then what is the sum of 1, 2, 3, … , 51?

Answers

Answer: 1326

Step-by-step explanation: There is no factorial for addition however the formula n (n+1)/2 works for this where n is the last number of your addition (in this case 51).

Would appreciate brainly <3

I really need help, like my teacher hasn't gotten back to me yet. I looked through my lessons but my brain isn't comprehending ✨anything.✨ And im about to cry im so mad about myself.

Answers

Answer: 15

Step-by-step explanation:

Sorry bout that.....

is 0.045 greater than 0.00195​

Answers

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

Select all the statements that show correct reasoning for finding 14/15÷7/5 Group of answer choices Multiplying 1415 by 5 and then by 17. Multiplying 1415 by 5 and then dividing by 7. Dividing 1415 by 5, and then multiplying by 17. Multiplying 1514 by 7 and then dividing by 5. Multiplying 14/15 by 7 and then multiplying by 15.

IF YOUR ANSWER IS INCORRECT OR BS I WILL GIVE YOU 0 STARS AND TAKE MY POINTS BACK!!!!!

Answers

Answer:

Option B

Step-by-step explanation:

Correct way of dividing fractions:

14/15 ÷ 7/5 = 14/15 × 5/7

Answer choices

A) Multiplying 14/15 by 5 and then by 17. FALSEB) Multiplying 14/15 by 5 and then dividing by 7, TRUEC) Dividing 14/15 by 5, and then multiplying by 17. FALSED) Multiplying 15/14 by 7 and then dividing by 5.  FALSEE) Multiplying 14/15 by 7 and then multiplying by 15. FALSE

Let's see

[tex]\\ \sf\longmapsto \dfrac{14}{15}\div \dfrac{7}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{14}{15}\times \dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{70}{105}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

Rewrite 1/4 barrel 2/5 hour as a unit rate ​

Answers

Answer:

5/8

Step-by-step explanation:

1/4÷2/5=1/4×5/2=5/8 barrel/Hour

Can anyone plz help me out with this?
I am all mixed up
I also need to find the axis of symmetry as well.
Thanks for the help
I appreciate it

Answers

Answer:

Down here    ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y  intercepts

x - intercepts : where the graph touches the x - axis

                      x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

                      y - intercepts = (0, 3)

(c)  Vertex of the parabola

vertex: the point of symmetry

          vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

                            axis of symmetry : x = 4

-Chetan K

To mix weed killer with water correctly, it is necessary to mix 10 teaspoons of weed killer with 2 gallons of water. Find how many gallons of water are needed to mix with the entire box if it contains 20 teaspoons of weed killer.​

Answers

Answer: 4 gallons

Step-by-step explanation:

HELP ME OUT PLEASE

Which equation could represent the relationship shown in the scatter plot?

A) y = -3x - 2

B) y = 9x -1/2

C) y = -3/4x + 10

D) y = -2/3x + 1​

Answers

Answer:

C) y = -3/4x + 10

Step-by-step explanation:

Slope is negative and its value (-3/4) can be determined from the line.

The line crosses the axis of ordinates at y = 10, when x = 0. If you substitute x for 0 in y = -3/4x + 10, y = 10. This corresponds to the line drawn in scatter plot.

What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)

Answers

Answer:

Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.

Step-by-step explanation:

Even if both 1/4 is left, that doesn't mean you started with the same amount.  Also, both 1/4 pieces are different shapes and sizes, making him wrong.

Hope this helped!! :)

what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee

Answers

Answer:

10

Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)

X1=9

X2=9

Y1=-2

Y2=8

Distance= (9-9)²+(-2-8)² (all square root)

=(0)²+(-10)² (all square root)

=0 + 100 (square root)

=100 square root

=10

Please help please please help me please help please please

Answers

Answer:

y - 6 = -3 ( x - 7)

Step-by-step explanation:

Use one of the points.

m is the slope

☆Answer : (X1, Y1) = (7, 6) (X2, Y2) = (11, -6)m = -3

Y - Y1 = m(X - X1)

y - 6 = -3(x - 7)

y - 6 = -3x + 21

y - 6 + 3x - 21 = 0

y - 27 + 3x = 0

3x + y - 27 = 0

.ggzgugimjhzieejwjdjnenwuene

Answers

Answer:

what da hel.l I didn't understood anything

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