2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0).​

Answers

Answer 1

Answer:

y= - 1/4x

Step-by-step explanation:

Answer 2

The equation of the line passing through that point with the required slope is y=2x+3.

What is slope?

The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line.  The slope of a straight line can also be represented by the formula  tan θ = Δy/Δx  So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.

Given:

The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".

The slope of a line passing through points (x1,y1)and(x2,y2) is given by

m=(y2−y1)/(x2−x1)

The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.

slope  m  of a line, and the coordinates of a known point  (x1,y1)  it is simple to plug them into the point-slope formula for a line to determine the equation for that line.

y=mx +b

y1=mx1+b

solve for  b

Going through those steps:

(x1,y1)=(-6, 8)

(x2,y2)=(10,0)

m=(0-8)(10-(-6))=-0.5

[tex]m^p[/tex]=−1/-0.5= 2

our known point is (−4,−5)

−5=2(−4)+b

-5 = -8+b

b = 3

Therefore, the equation of the line passing through that point with the required slope is y=2x+3.

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Related Questions

A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?

Answers

Answer:

[tex]\frac{23}{4}[/tex] feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet

                                                                             =   [tex]\frac{5}{2}[/tex] feet

The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet

                                                                              = [tex]\frac{13}{4}[/tex] feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

                                        =  [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]

                                        = [tex]\frac{10 + 13}{4}[/tex]

                                         = [tex]\frac{23}{4}[/tex]

The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.

What is the slope of the line that passes through the two points below?
A(-2,-9) B(2,4)

Answers

The slope of the line is 13/4 or 3.25. Oh and 3.25 is just 13/4 in decimal form if you need it. I hope this helps!

here is a list of numbers.
-45 -21 -16 12 33 40

Answers

Answer:

-45, -21, -16, 12, 33, 40

Step-by-step explanation:

Answer:

Question A)

-21+12  =answer= -21 and 12

Question B)

45-16=29 =answer= -45 and -16

Question C)

The total is 3.

Thanks.

Convert 1/12 ft. To inches.

Answers

Answer:

1 inch

Step-by-step explanation:

There are 12 inches in 1 foot so 1/12 is 1 inch

1 foot = 12 inches

1/12 feet = 1 inch

A bus arrives at Stop A every 14 minutes and a bus arrives at Stop Bevery 20
minutes. Both buses just arrived at their stops. After how many minutes will both
buses stop at the same time again?

A. 70 minutes

B. 60 minutes

C. 140 minutes

D. 280 minutes


*please help, I’ll give you brainliest :)

Answers

Answer:

b or a

Step-by-step explanation:

If bus A arrives after 14 minutes and bus B arrives after 20 minutes, then both buses will arrive at 140 minutes.

Given:

Bus A = 14 minutesBus B = 20 minutes

How to find the Least common multiple(LCM)

Find the least common multiple of 14 minutes and 20 minutes

14 minutes = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280....

20 minutes = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220.....

Therefore, the least common multiple of 14 minutes and 20 minutes is 140 minutes.

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Adriana y Andrés caminan juntos todos los días. El recorre 150 metros y ella 100 metros por cada minuto de caminata. ¿Cuál es la distancia que recorre cada uno después de 3,6,8,9 y 10 minutos?

Answers

Answer:

hi  o whae your  ayt fk hbod

Step-by-step explanation:

The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer.

Answers

Answer: discrete

Step-by-step explanation:

The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.  

the multiplicative inverse of 7-2 is

Answers

Answer:

8

Step-by-step explanation:

It

Answer:

The answer 1/5

Step-by-step explanation:

mark Brainliest

What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x

Answers

I’m gonna guess and say B

A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?

Answers

Answer:120 minutes.

Step-by-step explanation:

look, 12x8x5=480, and 480/4-120

i need help with this ​

Answers

Answer:

1. x=9

2. x=2

3. x=6

Step-by-step explanation:

I only know 1-3 sorry, but hope this helps

Becky went scuba diving. The inequality statement compares the magnitude of two depths that she reached.

|−28|>|−3|

What does the inequality statement show?

Select from the drop-down menus to correctly complete the statement.

−28 is
Choose... Greater or less
than −3, but 28 m below sea level is a
Choose... greater or less
depth than 3 m below sea level.

Answers

Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.

Step-by-step explanation:

Complete statement is as follows -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

What is inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.

We have the following expression -

|- 28| > |- 3|

The absolute value of the expression, will be -

28 > 3

Now, 28 is greater than 3.

But is we compare -28 and -3, then -28 is less than -3.

Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.

Therefore, we can write the complete statement as -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

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What is StartFraction 5 Over 8 EndFraction divided by One-fourth?

Answers

Answer:

tfollow me plzzz

Step-by-step explanation:

Scientists use a temperature unit called the kelvin. For example, the boiling
point of water at sea level occurs at 373.16 kelvins, written 373.16 K. The
formula K=5/9(F + 459.67), where K is the temperature in kelvins and F is the
temperature in degrees Fahrenheit, can be used to convert Fahrenheit
temperatures to kelvins.

Answers

Answer: F = 9/5K - 459.67

PLEASE HELP!! Please show me work also!

Answers

There isn’t a picture, what’s the question?

Price reduced
25% off
Now £14 625
Work out the price of the car before it was reduced.

Answers

Step-by-step explanation:

let x be the original.price

so x * 75/100= 14625

x=19500

so the price of car before it was reduced was 19500

The price of the car before it was reduced is £19500.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that the price of the car with 25% price reduced is  £14625.

Now to find the price of the car before it was reduced,

for that we will find the price of car to 100 - 25 = 75 percentage.

Let P be the price of the car before it was reduced.

P × 75 / 100 = 14625

P = 14625 × 100 / 75

P = £19500

Therefore, the price of the car before it was reduced is £19500.

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y=3x y=18 solve for x

Answers

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

X=6 because if you are trying to get the answer to 18 then you would do 18=3x and 18 decided by 3 is 6. And 6*3=18

How do you calculate (2x-5)^2

Answers

4x^2-20x+25 is your answer
Answer: 4x^2 -20x+25

(2)^2 -2•2x•5+5^2
4x^2 -2•2x•5+5^2
4x^2 -20x+5^2
4x^2 -20x+25

if x+y=10 and x-y=6 , what is the value of x³-y³​

Answers

Answer:

[tex]\huge\boxed{x^3-y^3=508}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504[/tex]

Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4

Answers

Answer:

the answer is x=4

Step-by-step explanation:

5x-4=19

5x=16-4

5x=20

x=4. (dividing both sides by 5)

what is the distance between a and b? round to the nearest hundreadth

Answers

Answer:

we need the picture

Step-by-step explanation:

Answer:

add a picture please

Step-by-step explanation:

Help please!!!

Question 6
5 pts
Factor the variable expression:
36X + 8X
0419x-4)
4X (9+2)
9(4X+2x)
8(X+X)

Answers

Answer:

4x (9+2)

Step-by-step explanation:

36x+8x

36 and 8 can be divided by 4 and they both have an x

[tex]36x + 8x = 4x(9 + 2)[/tex]

[tex]44x = 36x + 8 x[/tex]

[tex]44x = 44x[/tex]

The Answer is

[tex] \green {\boxed{4x(9+2)}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

helppppppp asaaaaap
8 fiction books
3 non-fiction books
4 historical drama books
Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book?
a.0.8
b.0.267
c.0.2
d.0.533

Answers

Answer:

0.2 (C)

Step-by-step explanation:

8 + 3 + 4 = 15

3 divided by 15 equals 0.2.

3 represents non-fictions books and 15 represents total amount of books.

Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?

Answers

Answer - 11

I’m assuming you’re trying to find the line AB (basically the distance between point A and B). If that’s the case, since they both have the same x vale, subtract their y values. 14-3 gives you 11, which is the length of line AB

IF f(x) = -3x – 2; FIND f(3)

Answers

Step-by-step explanation:

f(3) = -3(3)-2

=-9-2

=-11

A prism has a volume of 620 in.³ the length is 10 inches and the width is 2 inches what is the height of this prism?

Answers

Answer:

Volume= 620 inches3

Length= 10 inches

Width= 2 inches

Height=?

10×2×31

=620

The height is 31 inches

help mehhhhhhhhhhhhhhhhhhhhhhh ;(

Answers

Answer:

180 minutes in 3 hours 225 miles in 3 hours

Step-by-step explanation:

A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x

Answers

Answer:

the answer to the question is A

An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

What is an equation?

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

Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:

y = 4(3)²ˣ

Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

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. John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. *

Answers

Complete question :

John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. * 1 point A. The shirt will have the lowest price with the $20 off coupon. B. The shirt will have the lowest price with the 20% off coupon. C. The shirt will cost the same with either coupon. D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Step-by-step explanation:

Given two different coupon options :

First: 20% off

Second = $20 off

To our hase with one which enables one to pay the amount of money :

The price of the shirt will determine which of the coupons will give the least amount. For instance, a shirts which which cost below $100 will require the $20 off coupon in other to attain the least payment amount. However for shirts which cost above $100, the 20% coupon yield the least amount. Shirts which cost $100. Both coupons yields the same discount amount.

Which statement is true about the transformation?

Answers

An

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.

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