Solve step by step:
What is the equation of a line that is perpendicular to the line y=2x+1 and passes through the point (4,6)?

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (4, 6 ) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - [tex]\frac{1}{2}[/tex] x + 8 ← equation of line


Related Questions

which expressions are equivalent to 2 to the power of 11?

Answers

Answer:

Step-by-step explanation:

2048/4 = 512

2000 + 48 = 2048

4 x 412 = 2048

Here’s the question!

Answers

Answer:

refer to the attachment

now i m 100% sure that this is correct

plzz plzz plzz mark as brainliest

help ur boy out abcdefghijklmnopqrstuvwxyz

Answers

Answer:

(-6, 10) (-10, 9) (-11, -6) (-5, 1)

Step-by-step explanation:

(x,y) → (x-8, y+4)

1. (2, 6)

(2-8, 6+4)

(-6, 10)

2. (-2, 5)

(-2-8, 5+4)

(-10, 9)

3. (-3, -10)

(-3-8, -10+4)

(-11, -6)

ídk man u should connect it to (11, -7) since it's the only choice closest to the right answer, but If u can write the correct then write this. there's prolly an error in that quiz ídk

4. (3, -3)

(3-8, -3+4)

(-5, 1)

still not in the choices nanii but (5, -14) is the only choice left and also the closest, and even if u use calculator the correct answer is still (-5, 1). sigh, I hope this helper at least

x^2 - 8x + 5 = 0

(a) find the value of the discriminant

(b) state the number and type of the roots (2 real, 2 imaginary/complex or 1 real).

Answers

Answer:

√44

2 Real Roots

Step-by-step explanation:

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

22 miles in
3
hour
4 4
Find the unit rate

Answers

Answer:

Use a fraction calculator because it will help you to explain their answer better

0.32 to 0.37 percent of change increase or decrease

Answers

Answer:

d. 14% of increase

Step-by-step explanation:

0.32 to 0.37 = increase

0.37 - 0.32 = 0.05

What percentage is 0.05 of 0.37

X/100 = 0.05/0.37

(0.05 * 100)/0.37

X = 13.51 = 14%

If the radius of a circle A is 4 cm and got an area for that circle, if you doubled the radius for circle B would the area be double the area of circle A?

Answers

Answer:

No

Step-by-step explanation:

The area won't double by doubling the radius because the radius gets squared and 4^2=16 while 8^2 = 64.

Can anyone tell me what is 2/5 x 3/2 ?

Answers

Answer:

6/10

Step-by-step explanation:

2 × 3 = 6

5 × 2 = 10

OR

6/10 = 3/5

Answer:

3/5

Step-by-step explanation:

that is the simplified form of 6/10 which is the answer for your question.

1. It takes you 2 hours to travel 110 miles. How far can you travel in 5 hours?

Answers

Answer:

275 miles

Step-by-step explanation:

110/2 = 55 miles

you travel 55 miles an hour

multiply that by 5 to get your answer

equals 275 miles

Hope this is helpful.

Answer:

275 miles in 5 hours

Step-by-step explanation:

110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.

Jada mixes 2 3/5 liters of fruit juice with 1 7/10 liters of seltzer to make a fruit punch.

Complete the steps to find the amount of fruit punch


what is the sum of the fraction parts?

Answers

Answer:

3 9/10

Step-by-step explanation:

2 3/5=  2 6/10

17/10= 1 3/10

6/10+3/10=9/10+2+1=3 910

what is 5 1/8 = ?/? please answer ty

Answers

Answer:

the awnser is in fraction form

[tex] \frac{41}{8} [/tex]

1/2 + 1/8 + 3/4 as a fraction

Answers

Answer:

[tex]1\frac{3}{8} aka \frac{11}{8}[/tex]

Step-by-step explanation:

to start, think of them as decimals

1/2 = 0.5

1/8 = 0.125

4/4 = 0.75

if you add them, youll get 1.375

as a fraction this is [tex]1\frac{3}{8} aka \frac{11}{8}[/tex]

Can someone please explain how to find the answer please.

Answers

Answer:

36 / 21 = h / 168 so h = 168 (12 / 7)

Step-by-step explanation:

i dont know how to explain it

Explain why 50 is not a multiple of 6.

Answers

Answer: A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Therefor, 50 could not be a multiple of 6.

Step-by-step explanation:

Find the value of X - triangle measurments
I WILL GIVE BRAINLIEST!

Answers

180/3=60
4x-20=60
4x=80
x=20

Answer:

x = 20

Step-by-step explanation:

from how the sides are marked it is an equilateral triangle, to see it does not seem. assuming that it is equilateral it has 3 angles of 60 ° for which 4x - 20 = 60

4x - 20 = 60

4x = 80

x = 80 : 4

x = 20

-------------------

4 * 20 - 20 = 60°

What is greater than in mathematice

Answers

Answer:

Greater than can be defined as an inequality used to compare two or more numbers, quantities or values. It is used when a quantity or number is bigger or larger than the second or rest quantities or numbers.

Step-by-step explanation:

y+4=-7(x-3)
can someone pls explain I'm so confused? In needs to be in slope int form

Answers

Answer:

so slop int form is y=mx+b

so start off by distributing the -7 to the x and -3

so that leave you with y+4=-7x+21

get it all on the same side

y-7x-17

Step-by-step explanation:

Answer:

y =  m x  +  b .

y  =  − 7 x  +  17

Step-by-step explanation:

Hope this helps!!! :))

2 1/6 divided by 3/4

Answers

Answer:

Exact form = 26/9

Decimal form = 2.8

Mixed number form = 2 8/9

Step-by-step explanation:

Hope this helps


I need help asap I will give 15 points if it’s right

Answers

Answer:

a

Step-by-step explanation:

no explanation

Tonis cat weighs 2,240 grams. How many kilograms does her cat weigh? Use 100 grams = 1 kilograms to convert the rates.

Answers

Answer: 2.24

Step-by-step explanation:

Firstly, one kilo is 1000 grams, not 100. 2240/1000=2.24

Toni's cat weighs 22.4 kilograms.

To convert grams to kilograms, we divide the weight in grams by the conversion rate of 100 grams per 1 kilogram.

For Toni's cat weighing 2,240 grams, we divide 2,240 by 100 to get the weight in kilograms.

2,240 grams / 100 grams per kilogram = 22.4 kilograms.

Therefore, Toni's cat weighs 22.4 kilograms.

The conversion rate of 100 grams to 1 kilogram allows us to easily convert weights from smaller units (grams) to larger units (kilograms). In this case, dividing the weight in grams by 100 gives us the weight in kilograms, providing a simple way to convert between the two units.

Learn more about conversion here

https://brainly.com/question/34190547

#SPJ2

need help with math

Answers

Ah sorry I got it wrong, dear

B. 1/2

Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2

Write an equation of the line with the given slope and y-intercept: m = 2, b = negative three-fourths a. y = negative 2 x + three-fourths b. y = 2 x minus three-fourths c. y = negative 2 x minus three-fourths d. y = 2 x + three-fourths

Answers

Answer:

y = 2x - 3/4  Answer b

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope  = 2

b is the y-intercept = -3/4

therefor

y = 2x - 3/4  Answer b

9. Ilya was watching an American news broadcast. It spoke of
gas prices being $3.20/gal. What was the price per litre?
How can I do it ??

Answers

$0.008453504 because there are 0.264172 gallons in a litre.

Answer:

84 cents per liter

Step-by-step explanation:

1 gallon = 3.78541 liters

$3.20 / 3.78541 = 0.84

The circumference of a circle is 14.444 miles. What is the circle's diameter?

Answers

Answer:

2.29883

formula

[tex]c = 2 \times \pi \times r[/tex]

solving for (r) radius

[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]

= 2.29883

Complete the given ordered pairs for the equation.
y= 2x + 7
(7, )
(0, )
(-5, )

Answers

* means multiply

y = 2 * 7 + 7 = 14 + 7 = 21 -> (7,21)

y = 2 * 0 + 7 = 0 + 7 = 7 -> (0,7)

y = 2 * -5 + 7 = -10 + 7 = -3 -> (-5,-3)

To the nearest tenth, what is the BEST estimate of the value 5√10

Answers

Answer:

15.8 i think

Step-by-step explanation:

La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés, la casa de Rodrigo está a 2 cuadras a la izquierda de la casa Camilo ¿Cuántas cuadras hay entre las casas de Andrés y Rodrigo?.

Answers

La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:

(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.

[tex]c - a = 4[/tex] (1)

(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.

[tex]r - c = -2[/tex] (2)

Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:

[tex]r - a = 2[/tex]

En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.

Invitamos cordialmente a ver esta pregunta sobre aritmética: https://brainly.com/question/6357882

Find the slope, x-intercept, and y-intercept
of the line 3x + 5y = - 15.
-
Slope =
=
X-intercept =
unWS
Y-intercept=

Answers

Answer:

Slope:[tex]-\frac{3}{5}[/tex]

Y-intercept:-3

X intercept:-5

Step-by-step explanation:

−3/8+(−2 9/10)

Enter your answer as a simplified fraction by filling in the boxes.

Answers

Answer:

-131/40

mixed number form:

-3 11/40

Step-by-step explanation:

Answer:

I believe the simplest form is -3 11/40

Good luck :)

Find the commission,
Earning Commission
Sales Commision Rate Commission
$710
6%
?

Answers

Answer:

$42.60

Step-by-step explanation:

(6/100)×710

= $42.60

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