A straight line passes through A (-2, 0) and B (2,-k). The line is
perpendicular to a line 34+2x=5 Determine the value of K.​

Answers

Answer 1

Answer:

-6

Step-by-step explanation:

Let the slope of the first line be m1

Let the slope of the second line be m2

If both lines are perpendicular, then;

m1m2 = -1

Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).

m1 = y2-y1/x2-x1

m1 = -k-0/2-(-2)

m1 = -k/4

Get the slope of the line 3y + 2x = 5

Rewrite the equation;

3y = -2x + 5

y = -2/3 x + 5/3

Hence the slope of the line m2 is -2/3

Since m1m2 = -1, then;

-k/4(-2/3) = -1

2k/12 = -1

k/6 = -1

k = -6

Hence the value of k is -6


Related Questions

(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.

Answers

Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).

A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.

(sorry if im wrong)

:(

Probability. A professor rides his bike to work some days and drives his car on the other days. On any day there is an 80% chance the professor will ride his bike and a 20% chance he will take his car. If the professor rides his bike, there is a 10% chance he will be late. If he takes his car, theres a 5% chance he will be late. 18. What is the probability the professor is late

Answers

Answer:

0.09

Step-by-step explanation:

Given :

P(bike) = 0.8

P(car) = 0.2

P(Late given car) = P(Late | car) = 0.05

P(Late given bike) = p(Late | bike) = 0.1

Probability that professor is late :

P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]

P(late) = [0.05 * 0.2] + [0.1 * 0.8]

P(late) = 0.01 + 0.08

P(late) = 0.09

Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7

Answers

The one that is non-linear is D
The answer is D. That is the non linear function!

Find the midpoint of the segment with the following endpoints.
(2, -4) and (6. – 10)

Answers

Answer:

midpoint (4,-7)

Step-by-step explanation:

please see work attached where you utilize the midpoint formula.

please give thanks :)

Answer:

[tex](4,-7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Endpoint (2, -4)

Endpoint (6, -10)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute [MF]:                    [tex](\frac{2+6}{2},\frac{-4-10}{2})[/tex]Add/Subtract:                       [tex](\frac{8}{2},\frac{-14}{2})[/tex]Divide:                                  [tex](4,-7)[/tex]

write one hundred eight million four hundred four thousand in standard form

Answers

Answer:

108,404,000

Step-by-step explanation:

Answer:184,400,000

Step-by-step explanation:

good

what is the solution to 0.2 (4x-8)=0.4(12-2x)​

Answers

The answer is x=4!

Explanation:

Start with:
0.2(4x-8)=0.4(12-2x)
simply:
0.8x-1.6=4.8-0.8x
add 0.8 to both sides to cancel each other out:
1.6x-1.6=4.8
Add 1.6 to each side:
1.6x=6.4
Divide by 1.6:
X=4

Hope this helps!

Sophie went to the lake with her family. First, they spent 1 1/4 hours of fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?

Answers

Overall, they spent 3 3/4 hours fishing and swimming.

PLEASE HELP I WILL MARK BRAINLIEST FOR THE ANSWERS! PLEASE HELP PLEASE ITS DUE AT 12

Answers

Answer:

61

Step-by-step explanation:

84+38=122

180-122=58

DBC=58

180-58=122

122÷2=61

61+58=119

180-119=61

Answer:

61

Step-by-step explanation:

84+38=122

180-122=58

DBC=58

180-58=122

122÷2=61

61+58=119

180-119=61

16. If y varies directly as x, and x = 9 when y = 15, find y when x = 33?​

Answers

Answer:

y=55 when x is 33

Step-by-step explanation:

Use the direct variation formula:

[tex]\frac{y}{x} =k[/tex]  or [tex]\frac{y}{x} =\frac{y}{x}[/tex]

Insert the given values:

[tex]\frac{15}{9}=\frac{y}{33}[/tex]

To simplify the equation, cross multiply:

[tex]15(33)=9(y)\\\\495=9y[/tex]

Isolate the variable. Divide both sides by 9:

[tex]\frac{495}{9} =\frac{9y}{9} \\\\55=y[/tex]

Therefore, when x is 33, y is 55.

:Done

A car dealership is comparing the sales of two employees. The equation that represents Kevin’s sales is S = 60n-5, where n represents the number of years of employment. Dylan’s sales are displayed in the table below:

Years of Employment (n):
2
6
10
Number of Cars Sold (S)
104
324
544

(n) (S)
2 104
6 324
10 544

Compare the statement below to compare the employees’ rate of change.

greater than, 55, 60, -5, -116, 220, less than, 104, equal to

Kevin’s rate of change is _______. Dylan’s because Kevin sells_______ cars per year employed and Dylan sells ________ cars per year employed.

Answers

Answer:

I been trying to look for that answer for so long but can we help each other at least

Answer:

Step-by-step explanation:

We have  Kevin's sales equation is

[tex]S=60n-5[/tex]

Step 1

Find out Dylan's sales equation

Find the slope

We need two points

We take

[tex](2,104)[/tex] And [tex](6,324)[/tex]

[tex]m=(324-104)/(6-2)[/tex]

[tex]m=\frac{220}{4} \\m=55[/tex]

Find the equation in slope intercept form

[tex]s=mn+b[/tex]

We have

[tex]m=55[/tex]

point [tex](2,104)[/tex]

Substitute and solve for b

[tex]104=55(2)+b\\[/tex]

[tex]b=104-110\\b=-6\\[/tex]

So

[tex]S=55n-6\\[/tex]

Therefore

Kevin's rate of change is 60

Dylan's rate of change is 55

Compare

Kevin's rate of change is greater than Dylan's rate of change because Kevin's sell 60 cars per year and Dylan's sells 55 cars per year.

PLEASE MARK ME AS BRAINLIEST

Find the slope of the line containing the points below.

(3,3) and (12,15)

Answers

Hope this might help u

Answer:

[tex]m=\frac{4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 3)

Point (12, 15)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{15-3}{12-3}[/tex]Subtract:                              [tex]m=\frac{12}{9}[/tex]Simplify:                               [tex]m=\frac{4}{3}[/tex]

Can someone help me.

Answers

Answer:

Its green

Step-by-step explanation:

In here wehn they don't say or it means that the line is going to be attached

Solve by graphing (y= x + 4)
(x-y=1)

Answers

Use photomath it’ll give it to you

a function is shown f(x) = 2/3x +3 what is the value of f (6)?

Answers

Answer:

The answer is 28/9

Step-by-step explanation:

Step one

Given information

We are given that the function is

[tex]f(x) = 2/3x +3[/tex]

And we are expected to find f(6), that is substitute the value of x with 6

Step two:

[tex]f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9[/tex]

Plsss Help me but QUICK ASAP

Answers

Answer:

Step-by-step explanation:

THe second one

I think it’s the second one

List the sides in ^ EFG in order from smallest to largest.

Answers

Answer: Choice A) EF, EG, FG

================================================

Explanation:

We'll use these two rules

The smallest side is always opposite the smallest angleThe largest side is always opposite the largest angle

This only applies to triangles.

EF is the smallest side because the angle G is the smallest angle.

FG is the longest side because it is opposite the largest angle E

That places EG in the middle.

The order of the sides from smallest to largest is EF, EG, FG

Please help me slove this problem
3x - 3 = 12

Answers

Answer:

x=5

Step-by-step explanation:

We kind of have to work backward.

First, we take 12+3 because when we move it over the equal sign, we make it the opposite.

12+3=15

Our new equation is now, 3x=15

We now take:

3x__=15

The blank represents x, which is 5.

Hope this helps!

-AxekickNebulite

The population of a city decreases by 3.7% per year. If this year's population is 211,000, what will next year's population be, to the nearest individual?​

Answers

Answer:

20,3193

Step-by-step explanation:

Population decrease per year in city = 3.7%

Current population = 211,000

Next year's population = 211,000*3.7/100

                                      = 7807

                                      = 211,000-7807

                                      =203193

Next year's population= 203193

Therefore, next year's population will be equal to 20,3193.

The next year's population is 203193.

Given that, the population of a city decreases by 3.7% per year.

What is population growth and population decrease formula?

If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100})^n[/tex].

If the constant decrease in population be R% per annum, then the population after n years = [tex]P(1-\frac{R}{100})^n[/tex].

This year population is 211,000.

Now, [tex]211000(1-\frac{3.7}{100})^1[/tex]

= 211000×0.963

= 203193

Hence, the next year's population is 203193.

To learn more about the population increase and decrease visit:

https://brainly.com/question/27779235.

#SPJ5

.

-550/100 ÷ 14/7
Please and thank you ​

Answers

Answer:

-2.75

Step-by-step explanation:

Which statement about this equation is true?


3(4x - 2) = 12x


a. The equation has one solution.

b. The equation has no solution.

c. The equation has a few solutions.

d. The equation has many solutions.

Answers

Answer:

There are no solutions please mark brainliest

Step-by-step explanation:

Answer:

B. this equation has no solution

Step-by-step explanation:

distribute the 3

12x-6=12x

get the ex on one side

-6=0

-6 does not equal 0

A 15% tip on a $20.05 lunch bill is about ...

A. $0.15
B. $1.50
C. $3.00
D. $2.05

I will give brainliest to whomever gives the answer and an explanation!! Please help!

Answers

The answer is c. Just try it

PLZ HELP ME FASTTTT Which phrase is a translation of the expression shown? 4/7d-7 A)4 times d plus seven B)seven-fourths of d minus C)four-sevenths of d minus seven D)four-sevenths of d plus seven

Answers

Answer:

C

Step-by-step explanation:

4/7d means four sevenths of d, multiplying 4/7 by d

-7 means minus 7, subtracting 7

please give thanks by clicking heart button! :)

Answer:

C is correct, give the person above brainly!

Step-by-step explanation:

A restaurant chef made 1 4/5 pints of mushroom soup. Each bowl holds 3/10 of a pint. How may bowls of soup will the chef be able to make?

Answers

Answer:

Step-by-step explanation:

Take:

1 bowl requires 3/10 pint

X bowls require 9/5

Upon cross multiplication you get:

(3/10)x=9/5

;15x/15 = 90/15

x = 6 bowls

Sue is 43 years old, owns her car, but takes the bus to work. Her collision deductible is $250, and she does not have comprehensive coverage. If her cars safety rating is 22 what is her annual premium?

Answers

I believe is is 216.67 I’m not sure let me know if it is correct and I’m sorry if It is not right

Answer:

B. $2080

Step-by-step explanation:

A.P.E.X

4(3 + 5) - 3 x 9² ?​

Answers

Answer:

- 211

Step-by-step explanation:

4(3 + 5) - 3 x 9² =4(8) - 3(81) =32 - 243 =- 211

if angle 1 and angle 2 are vertical, and angle 2 and angle 3 are complentary, angle 3= 56^, what is angle 1

Answers

I think it’s 34 because if angle 3 is 56, then angle 2 is 34 because they are complementary and angle 1 is 34 because it’s a vertical angle w/ angle 2

1. Which one of the following is polynomial function ?
(2x+1)x²
A. f(x) =
2x+1
-20 +4x²+8
C. f(x) =
2
2x +4x²+x
D. f(x) =
+ 2x
2x
B. f(x) = 4x2 +2V x2 + 3​

Answers

Answer:

Answer is Option B f(x)=2V x2+3

Isaiah already has 16 dollars. Every hour (x) that he works at the bakery, he earns another 4 dollars (y). How many total dollars will Isaiah have after 13 hours of work?

Answers

$68
4x13=52 + 16 = 68
Its 68
He already has $16
If he makes $4 an hour and does 13 hours of work then he would make
$52
$52+$16=$68
Therefore he will have $68 in total

whats the answer to the question fast!!!

Answers

Answer:

The first one and the last one

Step-by-step explanation:

Simplify

7(-3/4x-3)

-21/4x-21

-5 1/4x-21

You will get the same answer if you just simply the last one.

Central Subs made 27 sandwiches using 12 pounds of turkey. How much turkey was used per sandwich?

Answers

Simple, do 12 divided by 27, so
.44444444444 is your answer

So “roughly .44 or almost half a pound”
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