Write the equation of the line that
passes through the point (4, 3) and is
PERPENDICULAR to the line y = 2x - 4

Answers

Answer 1

Answer:

y=-1/2x+2

Step-by-step explanation:

First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.

Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2


Related Questions

Assume that lines which appear tangent are tangent 15 9 solve for x

Answers

Answer: -0.383864035

Step-by-step explanation: Tan(159) = -0.383864035

..........................................

Answers

Answer:

.................................

Which of the following numbers can be expressed as repeating decimals? 4/7, 2/5, 7/8, 4/9

Answers

Answer:

4/7 & 4/9

Step-by-step explanation:

4/7 <-------- repeating decimal/rational4/9 <-------- repeating decimal/rationalNumbers with a repeating pattern of decimals are rational because when you put them into fractional form, both the numerator a and denominator b become non-fractional whole numbers. ------------------------------- 4/9A repeating decimal is a decimal number that goes on forever. We want to know if the decimal number you get when you divide the fraction 4/9 (4 ÷ 9) is repeating or non-repeating.Here are the steps to determine if 4/9 is a repeating decimal number:1) Find the denominator of 4/9 in its lowest form.The greatest common factor (GCF) of 4 and 9 is 1. Convert 4/9 to its simplest form by dividing the numerator and denominator by its GCF:4 ÷ 1/ 9 ÷ 1 = 4/9Thus, the denominator of 4/9 in its lowest form is 9.2) Find the prime factors of the answer in Step 1.The prime factors of 9 are all the prime numbers that you multiply together to get 9. The prime factors of 9 are:3 x 33) Determine if 4/9 is repeatingA fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:4/9= repeating------------------------------------------ 4/7A repeating decimal is a decimal number that goes on forever. We want to know if the decimal number you get when you divide the fraction 4/7 (4 ÷ 7) is repeating or non-repeating.Here are the steps to determine if 4/7 is a repeating decimal number:1) Find the denominator of 4/7 in its lowest form.The greatest common factor (GCF) of 4 and 7 is 1. Convert 4/7 to its simplest form by dividing the numerator and denominator by its GCF:4÷1/7÷1=4/7Thus, the denominator of 4/7 in its lowest form is 7.2) Find the prime factors of the answer in Step 1.The prime factors of 7 are all the prime numbers that you multiply together to get 7. The prime factors of 7 are:73) Determine if 4/7 is repeatingA fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:4/7= repeatingTherefore, the fraction 4/7 and 4/9 can be represented as repeating decimals.

What is the the decimal equivalent of 1/-4​

Answers

Answer:

Step-by-step explanation:

1 / -4 = -0.25
(excuse my bad mouse drawing)

1. An unknown number of liters of mixture containing 6% boric acid is to be mixed with 2 liters of
a mixture which is 15% boric acid. The new solution created is to be at a concentration of 12%
boric acid. How much of the 6% solution must be used? Show all work.

Answers

Answer:

0.4

Step-by-step explanation

2/0.15+x/0.06=x+2/0.12

30=x/0.12+2/0.12

1.6+2x=x+2

x=0.4

The seats at a local baseball stadium are arranged so that each row has five more seats than the row in front of it. If there are four seats in the first row, how many total seats are in the first 24 rows? (2 points)

1,428
1,476
2,856
2,952

Answers

Answer:

B

Step-by-step explanation:

This is a summation problem. The difference is the same all the way up.

First we have to find the last term.

t24 = a + (n - 1)*d

a = 4

n = 24

d = 5

t24 = 4 + (24 - 1)*5

t24 = 4 + 23*5

t24 = 4 + 115

t24 = 119

Now you can calculate the total

Sum = (a + t24)*n/2

Sum = (4 + 119)*24/2

Sum = (4 + 119)*12

Sum = 123 * 12

Sum = 1476

I need help on this question, please

Answers

Answer:

a. the percentage of the students who not drive a car is 44%

b. Number of students in 1 car

c. 1 = 3 i think

Step-by-step explanation:

11 / (14 + 11)

11/25

average is 2 i think

you can change the denominator to 100 by multiply 4, dont forget to do the same to the top

44/100

the percentage of the students who not drive a car is 44%

mean is average. to find the mean add all the given then divide by how many

sooo i think since it said "number of students in each car"

1 + 2 + 3 / 3

6 / 3

2 i think?

The solutions to the equations is

The percentage of students who do not travel by car is given by the equation A = 44 %

The mean number of students in each car is 2 students and the missing frequency is 3 cars

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The total number of students in the school = 25 students

The number of students who travel by car = 14 students

The number of students who do not travel by car = 11 students

So , the percentage of students who do not travel by car = ( number of students who do not travel by car x total number of students in the school ) x 100

Substituting the values in the equation , we get

The percentage of students who do not travel by car A = ( 11/25 ) x 100

On simplifying the equation , we get

The percentage of students who do not travel by car A = 0.44 x 100

The percentage of students who do not travel by car A = 44 %

And , the missing frequency is f = 3 cars

The total number of students in one car = 1 + 2 + 3 = 6 students

So , the mean number of students in each car = 6/3 = 2 students

Hence , the equations are solved

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

what is the equation of the line with y intercept (0.8)and slope 3/5​

Answers

Step-by-step explanation:

y = mx + b

m is slope

b is y-intercept

y = 3/5 x + 4/5

5y = 3x + 4

3x - 5y + 4 = 0

All three equations written above are correct, they are just in different formats :)

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{y=\displaystyle\frac{3}{5} x+0.8}}[/tex]

[tex]\mathbb{SOLUTION:}[/tex]

Hi! Hope you are having a nice day!

[tex]\mathcal{GIVEN:}[/tex]

Slope of the lineThe line's y-intercept

[tex]\mathcal{TO \ FIND:}[/tex]

The equation of the line using the given information

[tex]\mathcal{PROCESS:}[/tex]

Should we write the equation of the line in Slope-Intercept Form or in Point-Slope Form?

[tex]\mathcal{SLOPE-INTERCEPT\;FORM:}[/tex]

y=mx+bwhere m = slope of the linewhere b = y-intercept of the line

Actually, we do have enough information to write the line's equation in Slope-Intercept form OR in Point-Slope Form.

However, let's write the equation in Slope-Intercept Form.

The y-intercept is 0.8, and the slope is [tex]\sf{\displaystyle\frac{3}{5} }[/tex].

Equation:

y=mx+b

Plug m:

[tex]\sf{y=\displaystyle\frac{3}{5} x+b}[/tex]

Plug b:

[tex]\sf{y=\displaystyle\frac{3}{5} x+0.8}[/tex]

Hope you could understand everything.

#LearningIsFun

What is the principal solution to the equation?


x^2=121

Pls explain for brainliest and a like
1.step by step
2. correct answer
3. clearly explained

Answers

First step: x= ± √ 121
Second step and correct answer: x= ± 11

Because: x^2 = x= ± √

Estimate. About how many groups of 25 are in 95? How do you know?

Answers

Only 3 groups of 25 are in 95 because if you multiply 25 and 3 you get 75 but if add another 25 to 75 you will get 100 which is over 95

Which of the following can be found by using a line plot?
Orange
O mode
hogy
median
mean

Answers

Answer:

range, mode, median, and mean can be found using a line plot

Step-by-step explanation:

mark me the brainliest

A computer screen has a width of 15 inches and a height of 11 inches. Approximately what is the length of the screen’s diagonal?

Answers

Answer:18.6 you could search up the formula to help you solve it

(a+4)^(2)-(a-1)^(2) please solve this rn please i need it

Answers

Answer:

10a + 15

Step-by-step explanation:

(a+4)^(2)-(a-1)^(2)

(a+4)^(2)

(a+4)(a+4) = (a^2 + 8a + 16)

(a-1)^(2)

(a-1)(a-1) = (a^2 -2a + 1)

(a^2 + 8a + 16) - (a^2 -2a + 1)

a^2 + 8a + 16 - a^2 +2a - 1

10a + 15

Can someone who is good at math help me to do this?
10 points

Answers

Answer:

Yours: mean: 17; median: 17; mode: none

Friends: mean: 16.4; median: 17; mode: 20

You have the higher mean.

Step-by-step explanation:

a.

Your mean:

(18 + 16 + 19 + 15 + 17) / 5

= 17

Your median:

15 , 16, 17, 18, 19

= 17

Your mode:

15 , 16, 17, 18, 19

= No mode (no number comes up repeatly)

Your friend's mean:

(20 + 20 + 13 + 12 + 17) / 5

= 16.4

Your friend's median:

12, 13, 17, 20, 20

= 17

Your friend's mode:

12, 13, 17, 20, 20

= 20

b. Comparing your means, you have the higher mean

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a six?

I need a whole number btw.

Answers

Answer: Theoretically, 1 time

I need help on this question so if u actually can answer it correctly and show how you got it that would be helpful thx

Answers

[tex] \rm \looparrowright - \frac{1}{4} (8 - 4 + 20x)[/tex]

Subtract the numbers

[tex] \rm \looparrowright - \frac{1}{4} (4+ 20x)[/tex]

Factor out 4 from the expression

[tex] \rm \looparrowright - \frac{1}{ \cancel4} \times \cancel4(1 + 5x)[/tex]

[tex] \rm \looparrowright - (1 + 5x)[/tex]

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to -

[tex] \rm \looparrowright - 1 - 5x[/tex]

Thus, Options A and F are correct!!~

Find the measure of the missing angle .

Answers

Answer:

c = 99 and b = 81

Please help me ASAP

How many solutions are there to this system of equations?


tyy!

Answers

Answer:

looks like 2

Step-by-step explanation:

Points where two lines cross are solutions they share

2 solutions is the answer

Here is a system of linear equations
2x+3y=14
4x-3y=10

Which would be more helpful for solving the system: adding the two equations or subtracting one from the other?

Answers

Subtracting the two equations

Answer:

Adding the two equations

Step-by-step explanation:

2x+3y=14

4x-3y=10

_________

6x-0y=24

6x=24

x=4

see na too simple, u can find y using x=4 in any equation

30 POINTS + BRAINLEST TO FIRST CORRECT EXPLAINED ANSWER!
Please make sure to answer all parts of the question. Answer if the equation is right, and how to solve. Thank you!

Answers

Answer: Yes, you can find the original price of the
phone case. The phone case was $560

Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $384 in interest after 3 years. How much money should he deposit?
A.
$80
B.
$8,000
C.
$6,144
D.
$800

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$384\\ P=\textit{original amount deposited}\\ r=rate\to 1.6\%\to \frac{1.6}{100}\dotfill &0.016\\ t=years\dotfill &3 \end{cases} \\\\\\ 384 = P(0.016)(3)\implies \cfrac{384}{(0.016)(3)}=P\implies 8000=P[/tex]

What type of figure is shown?

The base of the figure is a ___________
A: Prism
B: Rectangle (wrong)
C: Triangle

Answers

Answer:

1. triange  2. trangle prism

Step-by-step explanation:

A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?

Answers

Answer: Distance = 325 miles

Step-by-step explanation:

Distance = speed*time

We can plug in the values given for time and speed:

Distance = 65 miles/h * 5 hours

Distance = 325 miles

Answer:

325 miles

Step-by-step explanation:

To find out how far the car will travel in 5 hours, we first need to know how far it will travel in one hour.

Well, we are given that information.

Since we know that the car travels 65 miles in 1 hour, we just have to multiply 65 by the number of hours it will drive, which is 5 in this case.

5 x 65 = 325

The car will drive 325 miles in 5 hours.

A raffle sold 2,000 tickets. What is the theoretical probability of NOT having the winning ticket? P(NOT winning ticket) =

Answers

Answer:

0

Step-by-step explanation:

you dont own any tickets, so how can you have any probability of winning? 2000 other people, or at least 2000 other tickets are owned by other people than you.

1) If 4 men take 18 days to paint a fence. Working at the same pace, how many men would be needed to paint the fence in 12 days?
2) It takes 6 men 14 hours to dig a drain. How many hours would it take 7 men to dig the same drain?
3) A bus takes takes 4 hours to reach its destination, travelling at a speed of 60 miles per hour. How many hours would it take to reach the same destination travelling at 80 miles per hour?
4) If 9 persons take 40 minutes to complete a task. Working at the same pace, how long would it take 6 persons to complete the same task?
5) If 8 men can mow a large piece of lawn in 9 hours, then how long would it take 9 men working at the same rate to mow the same lawn?
6) A car travels 150 miles in 3 hours. How many miles will it travel in 7 hours at this same rate?
7)Lia earns $7.50 per hour, at this rate; how much would she earn for 9 hours of work?
8) Alex can pack 64 oranges in 4 minutes, at this same pace; How many oranges could he pack in 1 minute?
9) A machine manufactures 400 units in 5 minutes. At this rate, How many units would it manufacture in 2 minutes?
10) A train travels 240 km in 4 hours, at this same speed; how much time would it take to travel 540 km?

Answers

Answer:

it will take 6men to work in 12days

it takes 6men to work in 13hours it will now take 7men to work 13

it will take 6 hours to travel at 80miles

it will take 6 men to complete the same work at 1 hour

it will take 9 men to mow a large piece of lawn in 8 hour

it will travel 50 miles is 7 hour

If 2x/2y= 16, what is x-y

Answers

Answer:

15

Step-by-step explanation:

2x/2y = 16

First, we can cancel out the 2s as there is one on the numerator and another on the denominator.

x/y = 16

To make it fraction form, we know that 16 = 16/1.

x/y = 16/1

We then get x and y.

x = 16

y = 1

x - y = 15

Evaluate the expression

9^4 x 9^-4

(Problem 8 in photo. Thank you!)

Answers

Answer:

1

Step-by-step explanation:

using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]  , [tex]a^{0}[/tex] = 1 , then

[tex]9^{4}[/tex] × [tex]9^{-4}[/tex]

= [tex]9^{(4+(-4))}[/tex]

= [tex]9^{(4-4)}[/tex]

= [tex]9^{0}[/tex]

= 1

Anuar has a collection of 80 toy vehicles. 3/5 of his toy vehicles are cars. The rest are motorcycles and buses. The number of motorcycles is 3 times the number of buses. How many toy motorcycles does Anuar have?

Answers

Answer:

He has 24 motorcycles

Step-by-step explanation:

I hope I could help!

Answer:

36 motorcycles

Step-by-step explanation:

calculate [tex]\frac{3}{5}[/tex] of 80

= [tex]\frac{3}{5}[/tex] × 80 ( cancel 5 and 80 by 5 )

= 3 × 16 = 48

there are 48 motorcycles and buses

let x be the number of buses then 3x is the number of motorcycles , then

x + 3x = 48

4x = 48 ( divide both sides by 4 )

x = 12

number of motorcycles = 3x = 3 × 12 = 36

please help me quick I need it, i don't understand and it's due in 5 mins quick

Answers

Answer:

#3 and #4 and #6

Step-by-step explanation:

a function is when there is only one x for one y, so if two points have the same x value but different y value, they cannot be a function

Answer:

The third one, fourth one, and sixth one.

Step-by-step explanation:

If there are repeating x values in the domain, the function would not be valid, for vertical lines would form. Every input (domain) must only have one output (range), but every output can have multiple different inputs.

Last week, Kip went to the fair. It costs $4.59 to enter the fair and $1.25 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent. y = $1.25x + $4.59 If Kip spent $23.34 at the fair, how many tickets did he buy? A. 12 B. 15 C. 22 D. 19

Answers

Answer:

B.) 15

Step-by-step explanation:

Fist you want to plug in 23.34 as your Y. Next you want to subtract 4.59 from 23.34. Finally, to get the variable alone, divide the answer you got from subtracting by 1.25.

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