find the equation of the line passes through the point (-1,2) and making an angle of 45° with the line x-y+1=0​

Answers

Answer 1

Answer:

Step-by-step explanation:

line given is x-y+1= 0

you can rewrite it in slope intercept y=mx+b where m is the slope, and b is the y-intercept where the line meets the y-axis

x-y+1 =0 subtract x and 1 from both sides of the equation

-y = -x-1 multiply both sides by -1

y = x+1 so the slope of this line is 1 and the y-intercept is 1

If you draw this line you can see that there are actually 2 lines that form 45° angles with y=x+1 and pass through (-1, 2), one is vertical x= -1 and one horizontal y =2


Related Questions

A particle traveled a distance of 9. 0 x 1012 meters at a rate of 1. 8 x 105 meters

per second. If distance = rate x time, how many seconds did it take the particle to

travel the specified distance?

Answers

A particle takes 5 × 10^7 sec of time to travel a distance of 9.0 × 10^12 meters at a rate of 1.8 × 10^5 meters.

What is speed?

Speed indicates how quickly something or someone is moving. If one knows how far something has travelled and how long it took to get there, then one can calculate its average speed.

The particle travels at a rate of 1.8 × 10^5 m.

The particle travels a distance of 9.0 × 10^12 m.

Let the time taken for the particle to travel be x.

The formula for calculating the distance traveled by the particle is -

distance = rate × time

time = distance/rate

Plugging in the values in the equation -

x = 9.0 × 10^12/1.8 × 10^5

x = 9.0/1.8 × (10^12-5)

x = 5 × 10^7 sec

Therefore, the time taken by the particle to travel is 5 × 10^7 sec.

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Mr. Rudden saves $600 each month. How much money will he have saved after 6 months?

Answers

Answer:

$3,600

Step-by-step explanation:

what you do is multiple 600 and 6 together and you'll get 3,600

Answer:

He will have saved $3600.

Step-by-step explanation:

$600 x 6=$3600

Simplify the expression: x^4 • x^6

Answers

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

Mark as brainllest

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

Give other guy brainllest

Please help!! Pleaseeee

Answers

I believe it is 75m cubed.

What is negation example?

Answers

Let's say we have an expression P^A then the negation of  P^A  will be not(  P^A  ). This is an example of negation.

As the name suggests negation means the negative of a term or expression and it comes under the branch of mathematical logical reasoning.

When not word is added in front of an expression it becomes the opposite , this is how we negate something. A statement is only admissible if it is always true or always false.

It is sometimes required in mathematics to find the inverse of a particular mathematical statement, this is when negation is used. Negation thus, refers to the process of determining the inverse of a given assertion.

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# 8 and # 9 please :))

Answers

Answer:

8) y > -x-3

9) One point that is a solution would be (0, 0). One point that is not a solution would be (0, -3).

Step-by-step explanation:

9) We can look at the graph to the left and know that anything shaded is considered to be a solution, thus, (0, 0) would be a solution. While (0, -3) is on the line itself, the inequality only includes numbers greater (to the right) than the line, therefore anything less (to the left) than or equal to the line would not be a solution.

Aw man it’s funny cuz I just did the same question like 2 days ago but I can’t remember nun my bad.

PLEASE HURRY!!!
what's the answer for 1 and 2?​

Answers

Answer:

C and D

Step-by-step explanation:

l faux off Gabba off KK kk haha BB mm hd h

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Answers

Answer:

76.9 UNITS^2

Step-by-step explanation:

The area of the 14 by 15 rectangular shape is 210 square units, and

that of the semicircle is (1/2)(3.14)(7)^2, where 7 is half of the diameter (14).

(1/2)(3.14)(7)^2 = 76.9 UNITS^2

Mathhhhhhhhhhhhhhhhhhhh
Which one ??

Answers

Answer:

3. vertical line

4. A

hope this helps

have a good day :)

Step-by-step explanation:

Questions with Bounds:

1) Andy Mann is building a garden fence out of planks. The planks are 10cm wide to the nearest cm. He needs to make 75 m of fencing altogether, correct to the nearest meter. How many planks does he need to order to make sure he has enough to complete the fence?

Answers

A total of 785 planks Andy Mann needs to order to make sure he has enough to complete the fence.

As the planks are 10cm wide to the nearest cm.

The total length of the fencing is = 75 m

From above, we can conclude that,

Range of the planks' lengths: 9.5 cm <= Plank's length < 10.5 cm

Range of fencing needed: 74.5 m <= Fence length < 75.5 m

We should consider the worst-case scenario where all the planks are 9.5 cm.

To complete the job, he only needs 74.5 m in total.

So, the total number of planks needed for completing the Job will be

= (74.5 * 100) / 9.5 = (7.84210*100) = 784.210

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how many times as large as 4^4 is 4^7

Answers

Answer:

Step-by-step explanation:

Note that 4^7 = 4^4*4^3.  

Compare 4^4 and 4^4 * 4^3.  The last factor is 64.  So 4^7 is 64 times larger than 4^4.

4⁷ is  64 times larger than 4⁴.

What is the power?

The power of a number is the multiplication with the same number as many times as the power.

Given,

Therefore, 4⁷/4⁴ = 4⁷⁻⁴ = 4³ = 64.

Hence, 4⁷ is  64 times larger than 4⁴.

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PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 1.8%

Step-by-step explanation:

I used the A=PRT equation

please help with this shapes question

Answers

Given the surface area of the sphere, and the formula for the surface area, the value of the radius is 11 cm

How to find the radius ?

The radius of the sphere allows for the surface area of the sphere to be calculated, with the formula 4 πr².

Given that the surface area of the sphere is 484 π cm then the radius can be found to be :

484 π = 4 πr²

r ² = 484 π / 4 π

r ² = 121

The value of the radius would then be:

r ² = 121

r = √ 121

r = 11 cm

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Use the picture to name one tangent
im gonna go to summer shcool if I don't pass​

Answers

a tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

the answer is LM

because it is a straight line, it touches the surface of the circle, but it does NOT cross the circle at one point.

How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown

Answers

9 non-congruent squares can be drawn.

What is non-congruent squares?

Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.

Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.

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Solve the inequality for w.

20 ≥ - 4w

Simplify your answer as much as possible.

Answers

Answer:

w[tex]\geq[/tex]-5

Step-by-step explanation:

-4w[tex]\leq[/tex]20

4w[tex]\geq[/tex]-20

w[tex]\geq[/tex]-5

y-int coordinates of y=x^2-5x+6, please explain

Answers

The y intercepts of the quadratic equation y = x² - 5x + 6 is given by (0 , 6)

and the x intercepts are ( 3 , 0 ) and ( 2, 0 )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = x² - 5x + 6   be equation (1)

On simplifying the equation , we get

y = x² - 2x - 3x + 6

Taking the common factors of the equation , we get

y = x ( x - 2 ) - 3 ( x - 2 )

On factorizing the equation , we get

y = ( x - 3 ) ( x - 2 )

To find the y intercepts , substitute the value of x = 0 , we get

y = ( 0 - 3 ) ( 0 - 2 )

y = ( -3 ) ( -2 )

So , y = 6

Hence , the y intercepts of the equation is  ( 0 , 6 )

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find the unit rate! help me with this please!!

Answers

Answer:

the answer is 81 rotations per minute

I WILL GIVE BRAILIEST PLEASE HELP

Answers

Answer:

Step-by-step explanation:

6. 8.50 x 1.06=9.01 cost of book plus tax

10-9.01=.99 change Henry will receive back

7. $12 x 1.085=13.02 total costs of ticket

5. 216/1.08=$200. $216-200=$16 sales tax paid

3. 85 x 1.08=$91.80

4. 687.50 x 1.06=728.75

The area of a sector of a circle is
18 pie cm². The radius of the circle is
6 cm. The angle in the sector is

Answers

Answer:

The angle in the sector is 180°.

Because the area of circle is 36 pie cm². So the angle is the half of 360°.

[tex]\boxed{\begin{array}{l} \\ \sf\huge{ \quad \underline{Answer} } \\ \\ \underline{ \underline\textsf{ Area of sector is given by : }} \\ \\ \dashrightarrow \sf{ A = \dfrac{ \theta}{360 \degree} \times \pi {r}^{2} } \\ \\ \dashrightarrow\sf{18 \pi = \dfrac{ \theta}{360 \degree} \times \pi {(6)}^{2} } \\ \\ \dashrightarrow \dfrac{ \theta}{360 \degree} = \dfrac{18 \pi}{ \pi(36)} \\ \\ \dashrightarrow \theta = 360 \degree \times \dfrac{1}{2} \\ \\ \dashrightarrow\theta = 180 \degree \\ \\ \end{array} } [/tex]

HELP ME PLSSSSS LIKE RNNNN

WILL GIVE BRAINLIEST

Answers

Answer:

82/7

Step-by-step explanation:

To add these numbers you need to change them to have the same denominator.

7=49/7

4 5/7=(28+5)/7=33/7

49/7+33/7=(49+33)/7=82/7

Answer:11 5/7

Step-by-step explanation:

The nine points of this grid are equally spaced horizontally and vertically. The distance between two neighboring points is 1 unit. What is the area, in square units, of the region where the two triangles overlap

Answers

The area, in square units, of the region where the two triangles overlap is found as 1 square units.

What is described as the coordinates?A point's position with regard to a specific reference frame is indicated by its coordinates, which can be either linear or angular values. X and Y are frequently used to denote a point's coordinates in a two-dimensional plane.

We can determine the equation for each line with in diagram using its coordinates.

We can determine the coordinates for each point. (1/4,3/4) is one of the intersections.

d² = 2² + 2² = 8

A₁ = (1/3d + 1/6d )/2 * 1/4d

A₁ = 1/4d * 1/4d

A₁ = 1/ 16 d²

Now,

A = 2A₁

A = 2.(1/16)d²

A = 1/8d²

A = 1/8 *8

A  = 1

Thus, the area, in square units, of the region where the two triangles overlap is found as 1 square units.

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Answer:

1 square unit

Step-by-step explanation:

HELP!!!!A fish tank that is shaped like a rectangular prism holds 5600cm3 of water. When it is ¾ of the way full, Mike drops 25 identical stones into the water. 180 cm3 of water spill from the tank. What is the volume of each stone?

Answers

Answer: 63.2 cm³

Step-by-step explanation:

The tank was 3/4 filled up when the stones were dropped in. This means that the stones had to first get the water level to 4/4 before it could begin to spill. Then after it spilled, it still spilled 180 cm³ of water.

This means that the stones took 1/4 of the total prism and then 180 cm³ as well.

The volume of the 25 identical stones is therefore:

= (5,600 * 1/4) + 180

= 1,580 cm³

The volume of each individual stone is:

= 1,580 / 25

= 63.2 cm³

A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line. "

1. How many marbles must be in the fifth line?

Answers

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

Define the unitary method.

The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.

Here,

Every subsequent line, beginning with one, contains two less characters than the one before it.

This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.

This implies that you will receive 4 marbles for the following line.

As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.

(4) = ten marbles.

10×2=20

20-2=18

(5) line = (18)

18×2=36

36-2=34

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

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if b is between a and c then ab+bc=ac q is betweenn r and s conclusion

Answers

Answer: if q is between r and s then rq + qs = rs

2x+4=16
Can someone please help ?

Answers

Answer:

x = 3

Step-by-step explanation:

2x + 4 = 16

2x = 12

x = 3

The answer to x is 6

16-4 is 12

12/2 =6

ASAP

-JUST ANSWER- PLSSSSS

Answers

Answer:

D 100 revolution is your answer

Is 2 a happy number?

Answers

No, 2 is not a  happy number because 2 can not become 1 after a series of stages in which each step 2 is replaced by the sum of its squares

Let's try to first comprehend what numbers are.

An arithmetic value that is calculated and utilized to represent a quantity is called a number. Numeral symbols, such as "3" are used in writing to represent numbers. A number system is a methodical technique to express numbers using digits or other symbols. The numerical system is a helpful collection of numbers that illustrates the number's algebraic and mathematical structure. presents an example that is typical.

Happy numbers If a number leads to 1 after a series of stages in which each step's number is replaced by the sum of its squares, it is said to be happy. For example, if we start with a happy number and keep replacing it with the sum of its squares, we eventually reach 1.

So 2 is not a  happy number.

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i need help with this question

Answers

The average rate of driving from Newyork to Boston is d. 54 mph.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The distance you drive is proportional to the time.

We know, The arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.

Therefore,

The average rate of driving is,

= (216/4) mph.

= 54 mph.

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The cost of 3 cheese sandwiches and 2 bottles of water is £7. 80. The cost of 5 cheese sandwiches and 4 bottles of water is £14. 20. What is the cost of: (a) one cheese sandwich? (b) one bottle of water?

Answers

One cheese sandwich costs $1.4 and one bottle of water costs $1.8.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.

3x+2y=7.8

5x+4y=14.2

(3x+2y=7.8)*2

6x+4y=15.6

5x+4y=14.2

x=$1.4

y=$1.8

The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.

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