Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=(4/3)x

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 4/3 x

So : product for two slopes = -1   means : m×4/3=-1

m = -3/4

now : y = -3/4 x+b

but this line :

through the point (4,2) : 2 =(-3/4)(4)+b....... b=5

conclusion :

the equation is : y = -3/4x +5


Related Questions

Maria has 9 boxes that each weigh 78 pound.

How many pounds do the boxes weigh altogether?

Answers

Answer:

702 pounds

Step-by-step explanation:

9 * 78 = 702

Answer:

If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.

Step-by-step explanation:

9 x 72 = 702 pounds

Your welcome! :)

Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30

Answers

Answer:

D. $30

Step-by-step explanation:

All you have to do is multiply 15 by 2 and you'll get 30.

Answer:
Option c

Explanation:
Check out the work I’ve attach

Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)

Find the range of the following sets of numbers 100,90,20,40,0,76

Answers

Answer:

100

Step-by-step explanation:

Range = highest - lowest (R = H - L)

In order, the set is 0, 20, 40, 76, 90, 100

100-0 = 100

Answer:

100

Step-by-step explanation:

Range = Highest value -lowest value

100-0=100

Which statement correctly maps AB to A′B′
x,y)↦(x+7,y−8)(x,y)↦(x+7,y−8)

(x,y)↦(x+8,y−7)(x,y)↦(x+8,y−7)

(x,y)↦(x−8,y+7)(x,y)↦(x−8,y+7)

(x,y)↦(x−7,y+8)

Answers

Answer: ( x + 8, y -7)
x value is moved 8 units to the left. So add 8 to x value.
Y value is moved 7 units down. So subtract 7 from y value

Answer:x+8, y-7

Step-by-step explanation:

A multiple-choice test has five possible answers for each question. If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?

Answers

Answer:

20% chance of getting the right answer

Step-by-step explanation:

he has a 1/5 chance, translated into 20 percent

The perimeter of the rectangle below is 222 units find the length of side RS

Answers

Answer:

111

Step-by-step explanation:

divide 222 by 2 and you get your answer

Answer:

55.5

Step-by-step explanation:

since we don't know the length or width of any side, one length side will only be 1/4 of 222. And perimeter is all the sides added up. This rectangle will actually be a square.

222/4=55.5

Help picture below problem 23 will give brainlest

Answers

Answer:

It will take them 5 hours to make 180 cupcakes

Step-by-step explanation:

17 + 19 = 36 x 5 = 180

Answer:

5 hours

Step-by-step explanation:

so since it al together you add 17+19 which equals 36. after that you divide 180 by 36 which equals 5. to recheck this I multipled 17 by 5 and 19 by 5. equaling 85 plus 95 equals 180 meaning it is 5

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?

Answers

Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.

More can be learned about the normal distribution at https://brainly.com/question/24663213

3+3x3+3
Whats the total



21
36
15

Answers

Answer:

c. 15

Hope it helpz~

please mark me as brainliest

15!!! it’s 15 simply because of PEMDAS do the multiplication first then add

step by step
short answer please​

Answers

The appropriate value for the median is less than 25. In the positively skewed distribution, if the data is bent on the lower side( which means the median is less than 25), then the average(mean) will be more than the middle value(median)

Verify experimentally the sum of angle of triangle is 180°​

Answers

Answer:

Draw line a through points A and B. Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees

Which expression is equivalent to 1/²
Or³
o po
o 12
0,27

Answers

Answer:

[tex]r^6[/tex]

Step-by-step explanation:

Hello!

Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.

Simplify:

[tex]\frac{r^9}{r^3}[/tex][tex]r^{9-3}[/tex][tex]r^6[/tex]

The solution is [tex]r^6[/tex]

please help me Find m

Answers

Answer:

60 degrees

Step-by-step explanation:

any closed shape has a sum of 360 degrees, now if you subtract 150 from 360 it gives you 210 minus 90 degrees, it would equal to 120. Now 120 divided by 2 since we still need to find the other two corners we haven't found, that would equal to 60 degrees.

Easy math 2 pictures

Answers

Answer:

See below

Step-by-step explanation:

x = hours

Payless charges = 50 + 60x

Squad charges  = 80 + 50x    when are they equal ?

50 + 60x = 80 + 50x

 x = 3 hours

Surface area = 2 * ( 10 *5  + 5*3  + 3*10) =  190  ft^2  

PLEASE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️!

Answers

Answer:

the answer is B.(3,6)

because y>2

so,the answer is 3&6.

The length of a rectangle is 4FT less than three times the width, and the area of the rectangle is 55FT. Find the dimensions of the rectangle.

Answers

Answer:

The required dimensions of rectangle are 11 feet and 5 feet.

Step-by-step explanation:

Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².

Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.

[tex] \\ \dashrightarrow{ \red{ \underline{ \underline {\sf\: \:Area _{(rectangle)} = Length \times width}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow\: \: (3x - 4)(x) = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x = 55 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\ [/tex]

[tex]\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow\: \: (x-5)(3x+11) = 0 \\ [/tex]

[tex] { \red{ \dashrightarrow\: \: { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\ [/tex]

Hence,

Length of rectangle = 3x - 4 = 3(5) -4 = 11 feet Breadth of rectangle= x = 5 feet

[tex]\therefore[/tex] The required dimensions of rectangle are 11 feet and 5 feet.

Define a rational number and show that no rational number x belongs to Q satisfies x² = 2​

Answers

Answer:

A rational number is a number that can be expressed as a fraction of two integers.

if  x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.

Step-by-step explanation:

x^2+y^2=y is written in polar form as r = ?
r = 3sinA is written in rectangular form as x^2+y^2= ?

Answers

[tex]x^2+y^2=r^2~\hfill x=rcos(\theta )~\hfill y=rsin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ r=3sin(A)\implies \stackrel{\textit{multiplying both sides by "r"}}{r^2~~ = ~~3~rsin(A)}\implies x^2+y^2=3y[/tex]

r = 3sinA is written in rectangular form as[tex]x^2+y^2 = 3y.[/tex]

What is De Moivre's theorem for exponentiation of complex numbers?

Any complex number z = a + ib can be written in polar form as:

[tex]z = r(\cos(\theta) + i\sin(\theta))[/tex]

Complex numbers are those numbers that contain the imaginary and the real part.

Raising this to nth power (n being an integer), we get:

[tex]z ^n = r^n (\cos(n\theta) + i\sin(n\theta))[/tex]

We need to find r = 3sinA is written in rectangular form as[tex]x^2+y^2[/tex].

We know that

x = r cosA

y = r sin A

We have been given ;

r = 3sinA

Multiply by r on both sides;

[tex]r^2 = 3r sin A\\\\r^2 = 3 y[/tex]

therefore,

[tex]x^2+y^2 = 3y[/tex]

Hence, r = 3sinA is written in rectangular form as [tex]x^2+y^2 = 3y[/tex].

Learn more about cube root of complex numbers here:

https://brainly.com/question/16048106

#SPJ5

12x +15x² - 18x³
Factorise the expression ​

Answers

Answer:

-3x(2x+1)(3x-4)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

Anser and Explanation:

First, factor out an x to get:

[tex]x(-18x^2 + 15x + 12)[/tex]

Then, factor out a -3:

[tex]-3x(6x^2 - 5x - 4)[/tex]

Finally, factor by grouping:

[tex]-3x(6x^2 + 3x - 8x - 4)[/tex]

[tex]-3x(3x(2x + 1) - 4(2x + 1))[/tex]

[tex]-3x(3x - 4)(2x + 1)[/tex]

so -3x(3x - 4)(2x + 1) is the factored expression.

Find an equation for the line that passes throughthe points (1,-1) and (-3,5)

Answers

u can pick either point to finish

y - 1 = 2(x-1)
y= 2x-2 +1
y = 2x-1

or

y-5 = 2(x-3)
y = 2x-6+5
y = 2x-1

y = -1.5(x) + 0.5

points: (1,-1) and (-3,5)

slope:

⇒ (y2-y1)/(x2-x1)

⇒ (5-(-1))/(-3-1)

⇒ 6/-4

⇒ -1.5

equation:

⇒ y -(-1) = -1.5(x-1)

⇒ y + 1 = -1.5(x) + 1.5

⇒ y = -1.5(x) + 0.5

PLEASE HELP PLEASE HELP PLEASE

Answers

blue stars. let’s talk a bit about temperature. The color of a star is a function of its temperature. If a star looks red, that means its surface temperature is approximately 2,500 Kelvin. Just for comparison, our Sun, which actually looks white from space, measures about 6,000 Kelvin. The hotter the star, the further up the spectrum you go. The hottest stars are the blue stars. A star appears blue once its surface temperature gets above 10,000 Kelvin, or so, a star will appear blue to our eyes.

The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not
including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C in dollars) of
sending the package is C = 23.50 + 3.80Lx), x > 0, where x is the weight (in pounds).
What is the meaning of the coefficient 3.80 in the context of the problem?
O When the package weighs less than one pound, the price of the package is $3.80.
O For every pound that the package weight increases, the price of sending it increases by $3.80.
O For every pound that the package weight increases, the price of sending it increases by $23.50.
When the package weighs less than one pound, the price of the package is $23.50.

Answers

Answer:

For every pound that the package weight increases, the price of sending it increases by $3.80

Step-by-step explanation:

Overnight from KC to Miami = $23.50 for anything less than a pound + $3.80 per additional pound.

This means that for every pound that the package weight increases, the price of sending it increases by $3.80.

Please look at the attachments I posted. Anyone help me please

Answers

Answer:

This will be option D

Replace the k with -1/2 and f(x) with x^2

this will look like -1/2*x^2

plug this into a graphing website such as Desmos

x+y+z=-6
x-y+3z=-18
2x+2y+2z=-8

Answers

Answer:

Step-by-step explanation:

hello :

the system is : x+y+z=-6.....(1)

                      x-y+3z=-18.....(2)

                   2x+2y+2z=-8.....(3)

use (3): 2(x+y+z) = - 8    so : x+y+z = -4

use (1) : x+y +z = -6          -6=-4 false

no solutions

there would you place -6?

Answers

Answer:

Integer

Step-by-step explanation:

Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.

Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.

Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.

Here is a better representation of that if you're a visual learner. Hope this helps!

Convert 85 miles per hour to meters per second. (Use 1.61 km = 1 mile)
show the steps​

Answers

Answer:

  38.0 m/s

Step-by-step explanation:

Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.

__

  [tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]

Find the missing side.

Answers

It's 3ft

Step-by-step explanation:

Volume = lxwxh

252 = 7 x 12 x?

= 84 x?

÷84

3. =?

3x12x7=252

Hope this helps!

Solve.

-14 - (-12)
A. -26
B. -2
C. 2
D. 26

Answers

Answer:

-2

Step-by-step explanation:

Apply the rule for this:

a - (- b) = a + b

Thus, we have:

-14 - (-12) = -14 + 12

Add the number:

Since there are more negative than positive the final solution is negative

Hence, now 14 - 12 = 2

Now bring the negative down:

-2

Therefore, the answer is -2

Kavinsky

When there are two minuses beside each other

⇒ we can equate them as a '+'

   so:

       -14 - (-12) = -14 + 12 = -2 or Choice (B)

Hope that helps!

Can someone help me please?

Answers

Answer:

the only answer that makes sense would be the length

could someone help me super duper fast with factoring trinomials
my previous questions are worth 50 each by the way

Answers

Answer:

(3a+3b+1)(2a+2b+3)

Step-by-step explanation:

This is the farthest they could be factored

#1

6(a+b)²+11(a+b)+3

Let a+b=x

6x²+11x+36x²+2x+9x+32x(3x+1)+3(3x+1)(2x+3)(3x+1)

Put value

(2(a+b)+3)(3(a+b)+1)

#2

8(x+1)²-14(x+1)+3

Let x+1=y

8y²-14y+38y²-2y-12y+32y(4y-1)-3(4y-1)(2y-3)(4y-1)

Put value

(2(x+1)-3)(4(x+1)-3)
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