Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(3,5); y=2x-6

Answers

Answer 1

Answer:

y = -(5/2)x + 3 is a line perpendicular to y = (2/5)x + 2. This line is also perpendicular to y = (2/5)x + 9 because it has the same slope.

Step-by-step explanation:

A) So the line you are given is written in slope intercept form y = mx + b meaning that the slope of the line is  m = 2/5 and the intercept  b = 9 (so the line hits the y axis at 0,9). A line that is parallel has to have the same  slope so we know our m is the same. So we have y = (2/5)x + b. We need b. It passes (0, 2) since the x coordinate is 0 you know the y intercept is 2 but you can verify this using the point slope formula:

y - y1 = m(x - x1) plug in values

y - 2 = (2/5)(x - 0) now simplify

y - 2 = (2.5)x  last solve

y = (2/5)x + 2 see how when the x coordinate is 0 you can automatically use the point slope intercept formula? Neato!

B) Now we want a line perpendicular to y = (2/5)x + 2 and that passes through 0,3. What are the properties of a line perpendicular to a line of the form y = mx + b and passes through (0, 3)?  We know that the slope of this new line will be the reciprocal and have the opposite sign of m. So the new slope we will call it mnew = -(1/m) so plug in for m and you get mnew = -(1/[2/5]) if you simplify you get that the mnew = -(5/2). So we have half of our equation for the perpendicular: y = -(5/2)x + b. If you look at (0, 3) you see that the y intercept is 3 so b = 3. So:

Answer 2

The equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, we need to find the equation of a line passing through the point (3, 5) and is parallel to y = 2x-6,

Comparing the given equation with the general equation of line y = mx+c

m = 2 (the slope)

We know that the two parallel lines have equal slope.

Therefore, the required equation is =

y = 2x+c

To find the value of c, put x = 3 and y = 5,

5 = 2(3) + c

c = -1

Therefore,

The required equation is =

y = 2x-1

Hence, the equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1

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Related Questions

Which describes the relationship between 1 and 22?
2
O 21 and 2 are complementary angles.
O 1 and 2 are equivalent angles.
O 1 and 2 are adjacent angles.
1 and 2 are supplementary angles.

Answers

Answer:

3rd circule

Step-by-step explanation:

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement? դոր:ռռռռռռիսցերա դյուրիսիդերին դիա 56 50 51 55 57 - + 50 55 57 50 51 52 53 54 55 56 57 58 50 51 52 53 54 55 56 57 58​

Answers

54 is one of the heights, so there would be a solid dot on 54. Because you need to be taller, the arrow would point to the right from the solid dot at 54 inches.

The correct graph is C ( the third one down)

The graph that represents the set of heights that satisfy this requirement is the third graph.

Which graph satisfy this requirment?

The requirment is that the heights of the people who ride the roller coaster should be at least 54 inches. This means that the height of the riders can be 54, 55, 100 0r 120.

Thus the graph that represents this is the graph that has a coloured circle on 54 and extends to number greater than 54.

To learn more about the number line, please check: https://brainly.com/question/557284

Find the second derivative of the function.

Answers

Answer

The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).

Find the 6th term 8 20 50

Answers

8,20,50,125,312.5,781.25

Please help asap. :(

Answers

I think it’s 7 a bit confused though

In a certain year, the average e-mail user sent or received 114 e-mails each day. The number of e-mails received was 6 more then twice the number sent. How many were sent and how many were received each day?

Answers

Answer:

78 emails

Step-by-step explanation:

Given

Represent sent emails with x and received with y.

So, we have:

[tex]x + y = 114[/tex] -- First statement

[tex]y = 6 + 2x[/tex] -- Second statement

Required

Determine the number of emails received (y)

Make x the subject in [tex]x + y = 114[/tex]

[tex]x = 114 - y[/tex]

Substitute 114 - y for x in [tex]y = 6 + 2x[/tex]

[tex]y = 6 + 2(114 - y)[/tex]

Open bracket

[tex]y = 6 + 228 - 2y[/tex]

Collect Like Terms

[tex]2y+y = 6 + 228[/tex]

[tex]3y = 234[/tex]

Divide by 3

[tex]y = 234/3[/tex]

[tex]y = 78[/tex]

Simplify the following:
2m x 8n

Answers

Answer:

16mn

Step-by-step explanation:

..........16mn ........

Find whether the pair of linear equations y = 0 and y = -5 has no solution, unique solution

or infinitely many solutions​

Answers

Answer:

infinitely many solutions​

Answer:

NO SOLUTION

Step-by-step explanation:

3. Solve the following word problems:
(3 x 4 = 12 mark
1. Rohan has to load 2456 cartons of apples equally in 5 trucks. How many cartons will be left unloaded in
the end?​

Answers

mariana bedoya sanches

POSSIBLE POINTS: 2
Jack had $32 to spend on 5 markers. He had $12 remaining after buying the markers. How much did each marker cost? ASAP!!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

Use Photo Math

Step-by-step explanation:

A man bought a certain number of golf balls for RM 20. If each ball has costed 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?​

Answers

Answer:

He bought 20 balls

Step-by-step explanation:

Cost of a certain number of golf balls = $20

Let 1 golf ball cost $x

This means number of balls bought = 20 / x

If each ball has costed 20 cents less;

Converting 20 cents to dollars = $0.2

$x - $0.2

he could have bought five more for the same money.

Number of balls = 20/x + 5

Using the formulae;

Cost of 1 ball * Number of balls bought = Amount spent

(x-0.2) (20/x + 5) = 20

Expanding the expression;

x(20/x + 5) - 0.2(20/x + 5) = 20

20 + 5x - 4/x - 1 = 20

19 + 5x - 4/x = 20

5x - 4/x = 1

Multiplying all through by x

5x^2 - 4 = x

5x^2  - x - 4 = 0

(5x + 4)(x - 1) = 0

x = 1 or -4/5

-4/5 is unrealistic hence the correct value is;

x = $1

He bought 20 balls;  20 / x = 20 / 1 = 20

The reduction in the price of each ball increases the number of balls the man can buy at RM 20.

The number of balls he bought is 20 balls.

Reasons:

The given parameters are;

The amount the man bought the golf balls = RM 20

The number of golf balls he could have bought if each ball costs 20 cents less = 5 more balls

Let the number of balls the man bought = x

Let the price of each ball be m

We have;

m × x = 20

(x + 5)·(m - 0.20) = 20

Therefore, we get;

[tex]m = \dfrac{20}{x}[/tex]

Which gives;

[tex]\left(x + 5 \right) \cdot \left(\dfrac{20}{x} - 0.20\right) = 20[/tex]

[tex]-\dfrac{\left(0.2 \cdot x^2- 19 \cdot x - 100\right)}{x} = 20[/tex]

20·x = -0.2·x² + 19·x + 100

0.2·x² + x - 100 = 0

x² + 5·x - 500 = 0

(x + 25)·(x - 20)

x = 20

The number of balls he bought, x = 20 balls

Learn more here:

https://brainly.com/question/6597326

simplify -20y+30/ -2y+6

Answers

Answer:

− 3 5 + 6

Step-by-step explanation:

p.s. give me crown please

Question 1
Two packs of toilet rolls are available in the
supermarket 9 toilet rolls for £3.15 4 toilet rolls for £1.36
Work out which pack offers the best value for money.

Answers

Answer:

for the nine toilet pack, a toilet roll is 3.15/9 which is£0.35 while for the 4 toilet roll pack, a toilet roll is 1.36/4 which is £0.34 so the nine toilet pack gives the best value for money because a toilet roll sells for £0.35 which is £ 0.01 more than the four toilet pack

2.109 A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ramada Inn, in 4% of the rooms at the Sheraton, and in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that

Answers

Answer:

Step-by-step explanation:

From the given information;

Let R represent Ramadan Inn

S to represent Sheraton; &

L to represent Lakeview Motor

F to represent faulty plumbing

So;

P(R) = 0.2

P(S) = 0.5

P(L) = 0.3

P(F|R) = 0.05

P(F|S) = 0.04

P(F|L) = 0.08

Then; to find the probability there will be a client assigned to the faulty room.

i.e.

P(F) =( P(R) × P(F|R) ) + ( P(S) × P(F|S) ) + ( P(L) × P(F|L) )

P(F) = (0.2 × 0.05) + (0.5 × 0.04) + (0.3 × 0.08)

P(F) = 0.01 + 0.02 + 0.024

P(F) = 0.054

suppose an individual with a room possessing faulty plumbing was given an accomodation at Lakeview Motor

Then:

P(L|F) = P(L) × P(L|F) / P(F)

P(L|F) = 0.3 × 0.08 / 0.054

P(L|F) = 0.4444

Luke's baseball team went to an amusement park at the end of the season.
The cost of admission for 5 coaches and 12 players was $407.50.
The admission cost for each coach was $27.50.
What was the admission cost for each player?
A) $22.50
B) $23.97
C) $27.50
D) $31.67
A
B
С

Answers

A, hope this helps:)

What is the value of b in a quadratic equation when the vertex is (1,4.5)?

Answers

the b-value is the middle value, the one multiplied by the x. The general graph of a quadratic is a parabola. The only exception is when a is 0, in which case we get a straight line.

What is an equation of the line that passes through the points (-6, -3) and
(-3, -5)?

Answers

Answer:

m= -2/3

Step-by-step explanation:

m= y2-y1/ x2-x1

m= -5-(-3)/ -3-(-6)

m= -5+3/ -3+6

m= -2/3

If it is 12:36 and Joshua had to leave at 3:25 how much time does he have to wait?

Answers

Answer:

2 hours and 49 minutes

Step-by-step explanation:

Plzz help me plz! I am very bad at math!

Answers

Answer:

D. 4 3/4

Step-by-step explanation:

1+3=4

2/4 + 1/4 = 3/4

hope it helps:)

Hep me please this is to much

Answers

Answer:

its B

Step-by-step explanation:

hope it helps

Answer:

B. 6 x 0.8

Step-by-step explanation:

It depends on the placement of the decimal point. All of the answers have 6 x 8. It's just that the decimal points are in different places each time.

For example, option A, is 6 x 8, which is 48. 48 is not equal to 4.8.

Option B, however, has 6 x 0.8. 6 x 8 = 48, and divided by 10 is 4.8. 4.8 = 4.8. This means Option B is correct.

Hope this helps :)

The perimeter of this triangle is 39 feet. Solve for x, and give the side lengths of the triangle.

Answers

Answer:

x = 13 feet

Step-by-step explanation:

hellllllppppppp pleaseeeee
i will mark you brillllllllllllll
?

Answers

I think it’s a pyramid

Answer:

C Pyramid

Hope this helps :)

please help me answer this

Answers

Step-by-step explanation:

_0=x=6. Pues Viendo Bien Eso Es Esa La respuesta

Pls help!! MARKING BRAINLIEST!!!

Answers

Answer:

1. C

2. D

3. D

4. E

5. B

6. G

7. unknown

whats 2 plus 2?////////////////////////////////////////////////

Answers

Answer:

4

Step-by-step explanation:

its like you have 2 fishes and you get two more

Answer:

4

Step-by-step explanation:

When you have two question marks and add two more you have four

????

1234

Solve this equation. \large \frac{2}{3}x-\frac{1}{5}x=x-1

Answers

Answer: x=−5/24

Step-by-step explanation: hope this help

Sara ordered 2 slices of pizza and a 12-ounce cola and paid
$3.00. Sydney ordered 3 slices of pizza and 2 12-ounce
colas for $4.75. How much does a slice of pizza cost?

Answers

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Step-by-step explanation:

Let slice of pizza cost x and a 12-ounce cola cost y.

Then Sara's order cost: 2x+y=3

and Sydney's order cost: 3x+2y=4.75

From the first equation we have: y=3-2x and put this to the second equation:

3x+2(3-2x)=4.75

3x+6-4x=4.75

x=1.25

y=3-1.25*2=0.50

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.

Suppose an angle has a measure of 2.1 radians.

This angle (with a measure of 2.1 radians) is what percent of a full rotation?
 %   

Use your work in part (i) to determine the measure of the angle in degrees.
 degrees   

Answers

Answer:  (i) This angle is 33.41% of the full rotation.

(ii) 120.38°

Step-by-step explanation:

GIven: Measure of full rotation = 2π radians

Measure of an angle = 2.1 radians.

The percent of this angles of a full rotation = [tex]\dfrac{2.1}{2\pi}\times100\%[/tex]

[tex]=\dfrac{2.1\times7}{2\times22}\times100\% \ \ \ \ [\pi =\dfrac{22}{7}]\\\\=33.41\%[/tex]

i.e. This angle is 33.41% of the full rotation.

In degrees,

[tex]\text{ 2.1 radians}=2.1\times\dfrac{180}{\pi}\\\\=2.1\times\dfrac{180}{3.14}\approx120.38^{\circ}[/tex]

[tex]2.1\text{ radians}[/tex] is [tex]33.4\%[/tex] of a full rotation and is equivalent to [tex]120.2^\circ[/tex]

The relationship between degree and radian measures is

[tex]1\text{ radian}=\dfrac{180}{\pi}^\circ[/tex]

Part 1

We want to express [tex]2.1\text{ radians}[/tex] as a percentage of a full rotation.

[tex]\dfrac{2.1}{2\pi}\times100\%=\dfrac{210}{2\pi}\%\\\\\approx33.4\%[/tex]

Part 2

How do we determine the measure of an angle (in degrees) given the percentage? Simply multiply the percentage by the complete/full rotation (that is [tex]360^\circ[/tex])

[tex]33.4\%\times360^\circ\\\\=\dfrac{33.4}{100}\times360^\circ\\\\\approx120.2^\circ[/tex]

Learn more about angular measure here https://brainly.com/question/11521023

Tropical Storm Enteng travels 600 miles while Tropical Depression
Gener travels 520 miles at the same time. Find the rate of each if
Enteng’s average rate is 15mph faster than Gener’s.

Solve with distance, rate & time table formula

Answers

Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Answer:

Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Step-by-step explanation:

What are two fractions between 1/2 and 1?

Answers

Answer:

3/4 and 10/12

Step-by-step explanation:

can i get brainliest please???

it would be very much appreciated

have a nice day :)

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