write an equation of a line passing through the point (-4,11) and perpendicular to the line 4x + 5y = -45

Answers

Answer 1

Answer:

y = 5/4x - 6

Step-by-step explanation:

First, put 4x + 5y= -45​ in y = mx + b form

4x + 5y= -45​

5y = -4x - 45

y = -4/5x - 9

So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4 right so to find the equation of the perpendicular line in this question, plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

-11 = 5/4(-4) + b

-11 = -5 + b

-6 = b

so you should Plug in b and the slope into y = mx + b

y = 5/4x - 6

So, the equation is y = 5/4x - 6

if this doesn't make sense i don't know what will


Related Questions

PLEASE HELP!

A triangle has side lengths of: 6, 10 and 16. Is it a right triangle? Show all of your work to justify your answer.

Answers

yes its a right triangle

Step-by-step explanation:

Solve for x, rounding to the nearest hundredth.

Answers

X=-0.78
Hope this helps!

Element X decays radioactively with a half life of 15 minutes. If there are 400 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 87 grams?

Answers

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

Therefore the mass of the element is given by:

If the initial mass is 760 g and the final mass is 15 g, we have:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

Element X take 32.6 minutes to decay to 87 grams.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Element X decays radioactively with a half life of 15 minutes.

And, there are 400 grams of Element X.

Now, By the given information, we can formulate;

⇒ [tex]y = x (0.5)^{t/h}[/tex]

Substitute all the values we get;

⇒ 400 = 87 × [tex](0.5)^{t/15}[/tex]

⇒ 400 / 87 =  [tex](0.5)^{t/15}[/tex]

⇒ 4.6 =  [tex](0.5)^{t/15}[/tex]

Take log both side,

⇒ ln 4.6 = t/15 (ln 0.5)

⇒ 1.52 = t/15 x 0.7

⇒ t = 32.6 minutes

Thus, Element X take 32.6 minutes to decay to 87 grams.

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The blue dot is at what value on the number line?

Answers

Answer:

the answer would be 21

Step-by-step explanation:

4+6 is 10 so divide 6 by 2 which is 3 and add three for each line 10+3+3+3=21

Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping?.

Answers

The factors of the polynomial are [tex]\rm x^2(x+11)-3(x+11)[/tex].

What are the factors of a polynomial?

Factors are the integers that are multiplied to produce an original number.

Given

The factors of the polynomial are [tex]\rm x^3+11x^2-3x-33[/tex].

The factors of the polynomial are;

[tex]\rm x^3+11x^2-3x-33\\\\x^2(x+11)-3(x+11)[/tex]

Hence, the factors of the polynomial are [tex]\rm x^2(x+11)-3(x+11)[/tex].

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The chance of drawing a spade from a deck of cards is 1/4. If the deck is shuffled between draws, what is the probability of drawing two spades in two draws if the first card is returned to the deck between draws

Answers

Answer:

1/16

Step-by-step explanation:

Since no cards are removed between each shuffle, the chance of drawing a spade both times remains the same, meaning it is 1/4 both times. 1/4 * 1/4 =1/16

The probability of drawing two spades in two draws if the first card is returned to the deck between draws will be 1 / 16.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that the chance of drawing a spade from a deck of cards is 1/4. If the deck is shuffled between draws.

The probability will be calculated as,

Probability = 1 / 4 x 1/ 4

Probability = 1 / 16

Hence, the probability will be equal to 1 / 16.

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PLEASE HELP ASAP
i understand the simplifying part, please thoroughly explain how to do excluded values correctly! tysm

Answers

This is the answer,

Brainliest if it's helped you? :)

[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]

HELP MEEEEEE PLEASEkdkkdjd

Answers

(-8,-2)


Reflecting across the x-axis means leaving the x value the same but negating the y value

X squared - x what is the annswer to this question

Answers

[tex]Answer:[/tex]

x squared

x is any number, so...

[tex]x^2[/tex]  x times itself

[tex]x * x[/tex]  same here

[tex]xy[/tex]  same here

Therefore, x squared means x times itself one time.

Factor completely 81x8 − 1. (9x4 − 1)(9x4 1) (3x2 − 1)(3x2 1)(9x4 − 1) (3x2 − 1)(3x2 1)(9x4 1) (3x2 − 1)(3x2 1)(3x2 1)(3x2 1).

Answers

Answer:

(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

Using the identity for the difference of 2 squares;

a^2 - b^2 = (a - b)(a + b)  

we put a^2 = 81x^8 and b^2 = 1  giving

a = 9x^4 and b = 1, so:

81x^8 − 1 =   (9x^4 - 1)(9x^4 + 1)

Applying the difference of 2 squares to 9x^4 - 1:

= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Answer:

The answer is (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

I really need help asap!!!

Answers

Congruent means identical (the same) so for Problem A you could put “they are congruent because they are identical shapes.
I’m not exactly sure about Problem B

pls help me solve this

Answers

Answer:

$50

Step-by-step explanation:

12 x 30 = 360

960 - 360 = 600

600/12 = 50

Answer: $50

Step-by-step explanation:

All 12 of the televisions have extended warranties 12*30=360

Then subtract the amount earned from the total amount paid for extended warranties:

960 - 360 = 600

Now divide 600 by the number of months in a year:

600/12 = $50

The fixed amount Gi earns for each television he sells is $50

help please!!! image included

Answers

Answer: All three are correct

Step-by-step explanation:

agree with all 3 students. They are all basically the same strategy. First, stands for the area of the base. The base is a circle, so . Therefore, is the same thing as . In Andre’s strategy, all of the circular cross sections of a cylinder are congruent to its base. So finding the area of a cross section is the same as finding the area of the base. Andre then multiplied this area by the cylinder’s height, so he essentially used .

For a class experiment, Hilda places different colored marbles in a bag. She pulls a marble at random from the bag, records its color, and then puts the marble back in the bag. She repeats this process 25 times. The overall results are shown in the table. Result Blue Red Yellow Orange Frequency 6 4 8 7 What is the experimental probability that Hilda pulled a red marble? Enter your answer in the box.

Answers

The experimental probability that Hilda pulled a red marble is 0.11752 or 11.752%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

For a class experiment, Hilda places different colored marbles in a bag. She pulls a marble at random from the bag, records its color, and then puts the marble back in the bag. She repeats this process 25 times.

The overall results are shown in the table.

Blue, Red, Yellow, Orange Frequency 6, 4, 8, 7 respectively.

P(red) will be 1/4 and P(not red) will be 3/4.

The number of trials (n) is 25.

Frequency of the red (r) = 4

Then the probability of getting red will be

[tex]\rm P(red) = \ ^nC_r( P(red) )^r*( P(not\ red))^{n-r}\\\\P(red) = \ ^{25}C_4 * (\dfrac{1}{4})^4 * (\dfrac{3}{4})^{25-4}\\\\P(red) = 0.11752[/tex]

The experimental probability that Hilda pulled a red marble is 0.11752 or 11.752%.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

here is ther anwser

Step-by-step explanation:

Becky had d DVDs. Her mother bought her 22 more DVDs. Write an expression that shows how many DVDs Becky has now.

Answers

Answer:

d+22=t

d dvds plus 22 dvds equals t dvds

How many triangles can be formed with segments measuring 4. 72 yd, 6. 31 yd, and 1. 67 yd? none one more than one.

Answers

The triangle inequality theorem is not followed,  no triangle can be formed.

Triangles

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.

Here, the sides are 4.72 yds, 6.31 yds, and 1.67 yds.

4.72 + 6.31 = 11.02  >  1.67  (theorem followed)

4.72 + 1.67 = 6.39  > 6.31    (theorem followed)

6.31 + 1.67 = 7.98 > 4.72 (theorem not followed)

Since the triangle inequality theorem is not followed,

Hence, no triangle can be formed.

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2 hermanos tienen una cuenta de ahorros en el banco por 1.920.000 pesos, lo que le corresponde al hermano mayor es 6 veces lo que le corresponde al hermano menor mas un adicional de 72.000 pesos
¿cuanto le corresponde al hermano mayor?¿cuanto le corresponde al hermano menor?

Answers

Answer:

al hermano mayor le corresponde 1656 dolares

Step-by-step explanation:


Rosie, Matilda and Ibrahim collect stickers.
number of stickers Rosie has : : number of stickers Matilda has : number of stickers Ibrahim has = 4 : 7 : 15


Ibrahim has 24 more stickers than Matilda.

Ibrahim has more stickers than Rosie.
How many more?

Answers

Ibrahim has 33 more stickers than Rosie

Equation

An equation is an expression used to show the relationship between two or more variable and numbers.

Given the ratio:

Rosie: Matilda: Ibrahim = 4 : 7 : 15

Let x represent the total number of stickers

Ibrahim = (15/26)x

Matilda = (7/26)x

Given:

(15/26)x = (7/26)x  + 24

x = 78

Ibrahim = (15/26)*84 = 45

Rosie = (4/26)*84 = 12

Ibrahim has 33 (45 - 12) more stickers than Rosie

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50 POINTS TO WHO EVER ANSWERS PLUS BRANILEST Sarah makes a red hair bow using 21 4/5 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon.

How much more ribbon is used to make the red hair bow than the purple hair bow?


3 3/20 in.

3 11/20 in.

3 3/5 in.

3 3/4 in.

Answers

Answer:

3 11/20

Step-by-step explanation:

I need someone to talk to please

Answer:

answer is

Step-by-step explanation:

it b.

Look at the image below.
10
11 8
Find the area of the parallelogram.
square units

Answers

Answer:

80 units²

Step-by-step explanation:

To find the area, we will need to use the formula A = b * h.

We know the height is 8 and the base is 10. We ignore the length of 11 since it is not relevant.

So what the equation would look like, when plugging in the 8 for height and 10 for base is:

A = 10 * 8 = 80 units²

So the area of the parallelogram is 80 units²

The area of a parallelogram is the product of the length of the parallel side and the distance between the parallel sides. Then the area of the parallelogram is 80 square units.

What is a parallelogram?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel.

The area of the parallelogram will be given as

Area = bh

Where b is the length of the parallel side and h is the distance between the parallel sides.

Area = 10 × 8

Area = 80

The area of the parallelogram is 80 square units.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

The term in the center in radius of the following circle equation

Answers

Answer:

center is at (8, -1) and the radius is 9

Tristan is building steps up to a deck that is 156 yards above the ground. The steps must all be the same height. If he wants to make 8 steps, how high should he make each step?

Answers

Answer:

The height of each step is 1957 yards

Step-by-step explanation:

we are given

Tristan is building steps up to a deck that is 15656 yards above the ground

so, total height =15656 yards

Number of steps =8

now, we can use formula

Height of each step = ( total height)/( number of steps)

now, we can plug these values

and we get

Height of each step is

I need help with this word problem please it’s number 20 please hurry and also please provide step-by-step explanation you will get Brainly

Answers

ohhhh I see so the thing how you do this s

I WILL GIVE BRAINILEST!!!!

Answers

second equation :- X= 52° (vertical opposite Angles)

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Number of years:1, 2, 3
Car 1 (value in dollars) 18,500, 17,390, 16,346.60
Car 2 (value in dollars) 18,500, 17,500, 16,500

Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)

Part C: Baxter wants to purchase a car that would have the greatest value in 10 years. Will there be any significant difference in the value of either car after 10 years? Explain your answer, and show the value of each car after 10 years.

Answers

Answer:

A) car 1: exponential

   car 2: linear

B) car 1: [tex]f(x)=18500(0.94)^{x-1}[/tex]

    car 2: [tex]f(x)=-1000x+19500[/tex]

C) Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.

Step-by-step explanation:

Part A

Car 1: exponential as the projected value is not decreasing by the same amount each year

Car 2: linear as the projected value decreases by the same amount each year ($1000)

Part B

Car 1

General form of exponential function: [tex]y=ab^x[/tex]

a = initial value = 18500

b = growth factor = [tex]\dfrac{17390}{18500}=0.94[/tex]

[tex]\implies f(x)=18500(0.94)^{x-1}[/tex]

NB We have to change x to "x-1" since we are told in the table that after 1 year the car's value is 18500.

Car 2

General form of linear function:  [tex]y=mx+b[/tex]

[tex]m=\dfrac{\textsf{change in} \ y}{\textsf{change in} \ x}=\dfrac{17500-18500}{2-1}=-1000[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-17500=-1000(x-2)[/tex]

[tex]\implies f(x)=-1000x+19500[/tex]

Part C

Car 1 after 10 years: [tex]\implies f(10)=18500(0.94)^{10-1}=\$10,600.40[/tex]

Car 2 after 10 years: [tex]\implies f(10)=-1000(10)+19500=\$9,500[/tex]

Difference = 10600.40 - 9500 = 1100.40

Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.

Please help me with this math problem! It's due tonight!! Will give brainliest if correct!! :)

Answers

Answer: x= 6

Step-by-step explanation:

For triangle ABC. AB = 6 and BC = 17. Which of the following is a possible length for AC?

Answers

a^2+b^2=c^2
6^2+17^2=c^2
C^2=36+289
C^2=325
C~ 18

When Brittany spins the spinner, there is a 20% chance that it will land on red, a 15% chance that it will land on blue, a 25% chance that it will land on yellow, and a 40% chance that it will land on purple. On which color is the spinner least likely to land?

Answers

Answer:

Blue

Step-by-step explanation:

Because it has the lowest likelihood, with only a 15% chance.

joes dad weighs 140 pounds more than joe. their combined is 336 pounds. how much does his dad weigh?

Answers

Answer: 238 lbs

Step-by-step explanation:

x = joe's weight

y = joe's dad's weight

x + y = 336

y = x +140

Substitute for y

x + x + 140 = 336

2x + 140 =336

2x = 196

x = 98

Joe weighs 98 lbs

Now, plug that into Joe's dad's weight equation

y = 98 + 140

y = 238

Joe's dad weighs 238 lbs

Luke was asked to find the median of the following numbers: 16, 24, 12, 7, 30, 11, 22 The work below shows the steps he used. The numbers 7, 11, 24, and 30 are crossed out. StartFraction 16 22 Over 2 EndFraction = StartFraction 38 Over 2 EndFraction = 19. What error did Luke make? He forgot to put the numbers in order first. He crossed off the low and high pairs incorrectly. He left out a number when putting the numbers in order. He did not make an error.

Answers

Luke left out a number while putting the numbers in order. The correct answer is 16.

Numbers given are 16, 24, 12, 7, 30, 11, 22.

Let us arrange the numbers in ascending order, starting from left to right,

The correct order is 7, 11, 12, 16, 22, 24, 30.

While Joe arranged them in the following manner:

x x 16 22 24 30 (left out a number)

He got the median as the average of the middle numbers.

Joe got (16+22)/2 = 19 as answer.

What is the median?

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

Since the total number of observations is odd so median will be the middle number.

So, the median is 16.

Hence, Luke left out a number while putting the numbers in order. The correct answer is 16.

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Answer: (C)

100% Correct Answer! Pls, give me brainliest. Thank You.

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