What is the equation of the line perpendicular to Y= 1/2x +6 that passes through the point (4,1)

Answers

Answer 1

Answer:

Step-by-step explanation:

y= mx+b is the general equation where m is the slope

y= 1/2 x +6 has the slope 1/2

perpendicular lines have the slope negative reciprocal

so the slope of the ⊥ line is -2

y = -x +b , yet for point (4, 1) the x=4 and y =1

1= -4 +b so b= 5

the equation of the ⊥ line is y= -2x+5


Related Questions

which number has a square root between 3 and 4

Answers

Answer:

12.25 is one possible number but any number between 9 and 16 works (although the square root may not always be a whole number)

Step-by-step explanation:

A number between 3 and 4 is 3.5.

3.5² = 12.25

Express 432 as a product of powers of its prime factors.

Answers

We can see easily this is an even number, so let's first divide by 2.

432=2*216

We can see the remaining 216 is still even so we continue.

432=2*2*108

And continue

432=2*2*2*54

and continue

432=2*2*2*2*27

Now we can see that 27 is a multiple of 3 in fact its 3^3.

So we can conclude that 432=[tex]2^4*3^3[/tex]

Seventeen of the monkeys at the zoo like bananas. There are 15 monkeys in all at the zoo. What fraction of the monkeys like bananas. What is th answer?

Answers

Answer:

7/15 of the monkeys like bananas

Hope this helps.

PLEASE HELP ITS DUE SOON

Answers

1) S
2) T
3) U
4) V
5) TU
6) MJ
7) 5

Five friends share 3 pizzas equally.How much pizza does each friend get?

Answers

Answer:

Each friend gets 3 slices each.

Step-by-step explanation:

If it takes a person 2 hours to drive 100 km, how fast (what speed) were they driving?

Answers

Answer: 50km/hour

Step-by-step explanation:

Answer:

50 km an hour

Step-by-step explanation:

if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling

100 divided by 2 = 50

the person was traveling 50 km an hour

18 increased by twice a number​

Answers

Answer:

18+2x

Step-by-step explanation:

Let the number be x.

Translate: 2x + 18 = x - 4.

Subtract x from each side:  x + 18 = -4.

Subtract 18: x = -22.

Check:  2(-22) + 18 = -44 + 18 = -26;  -22 - 4 = -26.

8 increased by twice a number​  = 18+2x

What is a linear equation?

A linear equation has one or two variables.

No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

solving this we will get the valve of Y if x is given.

Learn more about linear equations here:-https://brainly.com/question/14323743

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I need help pls
What is angle 3

Answers

Answer:

Step-by-step explanation:

4x + 6 + 3x + 21 = 8x + 7

7x + 27 = 8x + 7

-x + 27 = 7

-x = -20

x = 20

m<3= 8(20) + 7

         160 + 7 = 167

m<1= 4(20) + 6 = 80 + 6 = 86

m<2= 3(20) + 21 = 60 + 21 = 81

Pls help this is my last problem and I need to pass this class?!?

Answers

Answer:

A = 50°

Step-by-step explanation:

[tex](2x - 10) + (x + 30) + 70 = 180 \\ 2x + x = 180 + 10 - 30 - 70 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30[/tex]

Then

[tex]a = 2x - 10 \\ a = 2(30) - 10 \\ a = 60 - 10 \\ a = 50[/tex]

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Triangles.

Since we know that, the Angle sum property of a triangle is equal to 180°.

means that, <A + <B + <C = 180°

so we can write as,

==> 2x-10 + x + 30 +70 = 180°

===>3x +90 = 180

==> 3x = 90

hence, x = 30°

so now, substitute angle x,

So angle A is => 2(30)-10 => 60-10 = 50°

hence Angle A = 50°.

Find the product (4x -3y)^3

Answers

Answer:

babooshka

Step-by-step explanation:

Should be =64x^3 -144x^2y+108xy^2-27y^3

Which expression is equivalent to (x^4/3x^2/3)^1/3

Answers

Answer:

x 8/9

Step-by-step explanation:

Answer: x^2/3 or C

Step-by-step explanation:

edge 2021

Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?

Answers

over all answerrr 75

The percentage is 75%, the amount is 45 and the base is 60 so option (D) will be correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given that 45 is some percentage of 60

So, 60 will be the base because we are calculating the percentage of it and the amount will be 45.

Let's say 45 is x percentage of 60

Then,

60 × x/100 = 45

x = 4500/60

x = 75%

Percentage will be 75

Hence "The percentage is 75%, the amount is 45 and the base is 60".

For more about the percentage,

brainly.com/question/13450942

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The number of people who voted for the Green Party in an election was 1500
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in its simplest form

Answers

Answer:

1:6

Step-by-step explanation:

1500:9000

=150:900 (divide by ten)

=15:90 (divide by ten)

= 1:6. (divide each number by 15)

2/3 times what equals 3

Answers

Answer:

Should be 5 or 6

Step-by-step explanation:

Is the quotient for 41 / 0.8 greater or less than 41? Explain.

Answers

more than, because with decimals the division and multiplication are switched

Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.75 and each cup of hot chocolate costs $1.00. If he pays a total of $14.50 for 10 cups, how many of each does he buy?

Answers

Answer:

6 cups of coffee

4 cups of hot chocolate

Step-by-step explanation:

x=number of cups of coffee

y=number of cups of hot chocolate

1.75x+1y=14.5

x+y=10    y=10-x

substitute for y

1.75x+10-x=14.5

0.75x=4.5

x=6

y=10-6=4

HELP NEED THIS NOW
A laptop has a listed price of $804.99 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$867.37

Step-by-step explanation:

tax rate = 7.75%sale prize = $804.99tax = (804.99 × 7.75) / 100 = 62.38amount with tax = $804.99 + $62.38 = $867.37

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What is the x value in the follow system?
3x - y = 7
2x + y = 3

Answers

Answer:

x=2

Step-by-step explanation:

Seven times the sum of a number and six subtracted from four times the number results in negative twenty

Answers

Answer:

-20.67

Step-by-step explanation:

Let the number be represented = x

Seven times the sum of a number and six subtracted from four times the number results in negative twenty

7 ×(x + 6) - 4 x x = -20

7(x + 6) - 4x = -20

7x + 42 - 4x = -20

7x - 4x = -20 - 42

3x = -62

x = -62/3

x = -20.67

The number is -20.67

I have to find slope-intercept equation

Answers

Answer:

y = 4x - 9

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

the y-intercept is when the line crosses the y axis, and in this case we can see it at "-9"

The slope we can do rise over run "r/r" ot "y/x"

r/r = 4/1 = 4

The line is positive since its going up

y = 4x - 9

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Sophia is paid $12 per hour to babysit. Which equation represents how much money Sophia earns, d, when she babysits for h hours?

Answers

Answer:

D=12h

Step-by-step explanation:

If I was doing -3n - 24​

Answers

It will be. -3(n+8) because you have to go from greatest to least and then 2 negatives will equal a positive

Yo can somebody help??

Answers

1/4

I hope this helped! please mark brainliest and vote 5 stars >:)

it is 1/4 because the patten is minus 1

Multiple Choice
A car travels 172 miles using 7 gallons of gas. At that rate, how far can the car travel using 42 gallons of gas?
A. 1,032 miles
B. 1,548 miles
C. 1,204 miles
D. 1,376 miles

Answers

I think the answer is A tell me if I am wrong.

Pls help me
What is the diagram?

Answers

Answer:

c/e = e/d

Step-by-step explanation:

These are similar triangles. When you flip the larger one clockwise to enable you to see which sides are corresponding, then you find that:

c corresponds to e'

a corresponds to b

e corresponds to d

Therefore, c/e in the original position = e'/d in the flipped position.

So c/e = e/d

12 (x+1/6) = 8 20 points

Answers

Answer:

12x + 2

Step-by-step explanation:

12 is multiplyed by both the x and the (1/6) since it is outside the equation.

so 12 times x = 12x since we dont know what x is

and 12 times (1/6) = (12/6) = 2

the exponent form of 3 root 7​

Answers

Answer:

The exponent form of 3 root 7 is 7.94

Appreciate it if someone could answer and explain. I’ll give brainliest. Thanks :)

Answers

Answer:

47 . 9 cm

Step-by-step explanation:

c = 22cm

22 pie ( their is no pie symbol on my so I said pie ) / 360

X = 8.25 pie cm

p = 22 + 8.25 pie

47.9 cm

0.8 divided by 62 please help asap pls

Answers

Answer:

77.5

Step-by-step explanation:

Answer:

77.5

Step-by-step explanation:

does anyone know the answer

Answers

Answer:

(1,2)

Step-by-step explanation:

easy lol

brainliest??

What are you trying to find?

Answer: (1,2)

2 + 1 = 3

2 - 1 = 1

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