What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=7x−y=7?

Answers

Answer 1

Answer:

y = x + 1

Step-by-step explanation:

The gradient of a line can be defined by the equation:

m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript

For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):

x2 = -7, y2 = -6

Plug these values into the formula above:

m = (y-(-6)) ÷ (x-(-7))

m = (y+6) ÷ (x+7)

At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.

x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:

y = x-7 ---> The gradient (coefficient of x) is 1.

Therefore, the gradient of the other parallel line must also be 1.

This can be substituted into the previous equation to give:

1 = (y+6)÷(x+7)

x+7 = y+6

x+1 = y

Therefore, the answer is y=x+1


Related Questions

5.) A case of 24 tennis balls weighs 3 pounds. How much would a shipment of 2560 tennis
balls weigh?

Answers

Answer:

1920 pounds

Step-by-step explanation:

2560 divided by 24 = 640

640 x 3 = 1920

(ASAP) Toby hiked to a famous point with a beautiful view. It took 1 hour and 45 minutes to hike to the viewpoint and 1 hour and 7 minutes to hike back. Toby spent 1 hour and 37 minutes enjoying the view. If Toby started the hike at 9:27 A.M., what time did he get back?

Answers

Answer:

he returned at 1:56 pm pls give brainliest

Factor the trinomial, or state that the trinomial is prime,
y2 - 5y + 6

Answers

Answer:

Im doing this for the points lol

Sorry

Answer:

factorise it

Step-by-step explanation:

in the method  ax2 + bx + c

so it can be done just in y

find a common factor

well there isn't one but we can see that we need to factorise it

+1 y2  times  6= 6

because there is only 1 y and you times it by 6

you'll see why when we factorise this

so x the squared number (1) x 6 =6

and the middle number is 5

find two numbers that

x multiply to make six

and add+  to make -5

those numbers are

-3

-2

because -2 + -3 = -5        and -2 x -3 = positive 6

so our answer of y2 + 5y + 6

 is identical to = y2 -3y -2y +6

factorise in half

y2 -3y                   -2y +6

so now we can factorise!

in this bracket we have

a common factor of y                                  in this bracket we have common                                                

                                                                        factor of 2

= y (y -3)                             +                         =    -2(y-3)

BUT THERE IS STILL ONE MORE

THEN WE CAN SEE A COMMON FACTOR OF Y-3

put the  (y-3)  in front and the  (-y-2) is left

put y from first bracket and -2 from second bracket into a seperate bracket

yay! factorised

BUT THERE IS STILL ONE MORE

ANSWER =  (Y-2) (Y-3)

you can use the rainbow multiplying out of bracket method to prove it works.

PLZ GIVE BRAINLIEST

how it would be written out:

y2 + 5y + 6

y2 -3y -2y +6

y2 -3y       -2y +6

y (y -3)       -2(y-3)

(Y-2) (Y-3)

Which of the following functions has the roots of -1 and 2? * a. f(x) = x² – x – 2 b. f(x) = x² + x – 4 c. f(x) = x² + x + 2 d. f(x) = x² – x + 5​

Answers

Answer:

a

Step-by-step explanation:

yeah-ya............ right?

What is the missing reason in the proof?

Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD

A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle.



definition of angle bisector
segment addition property
definition of congruent angles
transitive property

Answers

Answer:

ABC and ABD are congruent

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What equation represents the relationship between X and Y shown in the table below

Answers

Answer: B

Explanation: B has-235 which is in the above list of y

Answer:

C

Step-by-step explanation:

Hello Jasmine. So let's try out all of the functions starting from the first one.

For A, assuming value of x = 3. (176*3)-59 = 469, so it is incorrect.

For B, assuming value of x =3. (-59*3)-235= -412, so it is incorrect.

For C, assuming value of x=3. (-59*3)-176= -353 (which is the corresponding value of y in the table.)

Which means the correct answer is C, if you need further help please let me know.

Which equation can be used to describe the relationship between x and y shown in the table below?

Answers

Answer:

y=-1x

Step-by-step explanation:

You would find the constant of proportionality which is -1 and then you would put that into that spot and get y=-1x

8(&- 6) +58 = 2(4x + 5)

Answers

Answer:

10=10 the statement is true (if the "&" was an x)

or

8 is the answer (if the "&" was an 8)

Step-by-step explanation:

You distrubute then add the like terms together (use phtomath it helps)

Someone help pls!! Find the value of x

Answers

Answer:

Step-by-step explanation:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Impulse Calculator: Equivalent Fractions Calc...

Area Under the Curve Calculator: Multiplying ...

Volume of A Cylinder Calculator: F Distribution ...

Density Calculator: Probability Density Function ...

Select all ratios equivalent to 12:6.

1: 16.8

2: 10:5

3: 48:24

Answers

Answer:

1, 2, and 3 are all equivalent to 12:6.

Step-by-step explanation:

12:6 = 2:1

16:8 = 2:1

10:5 = 2:1

48:24 = 2:1

They are all equivalent.

Help me pls because my teacher says I must finish it

Answers

Answer:

for the first equation you will place a point at (0, 3)

you will then go "up 1 and over 1" and place another point (this is your slope) continue doing this until you have formed a line. you may also go "left 1 down 1" to go the opposite direction, creating a negative slope & straight line.

for the second equation you will place a point at (0, -3)

you will then go "up 1 and over 2" and place another point. repeat this a few times. then you will go to (0, -3) and go "left 1 down 2" and create the negative slope effect. this will give you a straight line.

HELP ME PLEASE I NEED HELP

Answers

Answer:

hope this helps ¯\_(ツ)_/¯

Step-by-step explanation:

y=3x+1

brainliest is appreciated

^‿^

Right away you can see that when x=0, y=1.

0 is easy to plug into the equations that are your answer choices. Just by checking this, you see the answer is y=3x+1

You can also verify this by plugging in the other x values and seeing if the y value matches up (you can see that for every y, x increases by 3, thus the 3x in the equation)

There is a population of 10 bacteria in a colony. If the number of bacteria doubles every 70
minutes, what will the population be 140 minutes from now?

Answers

Answer:

40

Step-by-step explanation:

7) Staples charges $28 for 8 boxes of pencils and $47 for 4 pencil sharpeners. Ms. Felix orders 70 boxes of pencils and 21 pencil sharpeners from Staples. How much does Ms. Felix spend on her order?​

Answers

Answer:

Ms. Felix would spend $491.75 on her order.

Step-by-step explanation:

First, let's identify the components of this word problem that we'll need to solve it. We know that Staples charges $28 for 8 boxes of pencils, and $47 for 4 pencil sharpeners. Before we do anything else, we'll find the unit price of  the pencils and pencil sharpeners to make it easier for us. Let's begin with the boxes of pencils. 28 ÷ 8 = $3.50 per box of pencils. As for the pencil sharpeners, 47 ÷ 4 = $11.75 per sharpener. Now that we know the basic costs, let's use them to solve our problem at hand. We'll multiply the number of items ordered by the base cost of the item.

Boxes Of Pencils:

70 × $3.50= $245.00

Sharpeners:

21 × $11.75= $246.75

Now that we know the cost of the two seperate items Ms. Felix ordered, let's add them to get our final answer.

$245 + $246.75 = $491.75

Our final answer would be $491.75.

help asap please and thank you!!

Answers

Yayayahshshssbshhs

Answer

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75.

Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours.
Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.

Answers

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours  

we know that

--------> inequality    

--------> inequality  

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

--------> inequality  

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N  

--------> inequality    

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N  

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

--------> inequality  

--------> inequality  

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N  

Let

------> see the attached figure N  

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

substitute the value of x and y in the inequalities

inequality  

------> is ok

inequality  

-------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

Answer:

the answer is B, Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.

Step-by-step explanation:

Solve the inequality below:
2(4x - 3) < 5x - 27

Answers

Answer:

x < (-7)

Step-by-step explanation:

[tex]2(4x - 3) < 5x - 27 \\ 8x - 6 < 5x - 27 \\ 8x - 5x < 6 - 27 \\ 3x < - 21 \\ x < \frac{ - 21}{3} \\ x < ( - 7) \\ [/tex]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<−7

Interval Notation:

(−∞,−7)

Use Math-way.

Find the unit rate.



2 specialty pizzas for $38.50 = $_______________ p

Answers

Answer:

Step-by-step explanation:

to find this all you need to do is divide the total price by the number of units you have. in this case 38.50 / 2 = 19.25 per pizza

Hello there! :)

If 2 pizzas cost 38.50 dollars, then we have to dibvide by 2 to find out the price of one pizza.

$19.25

Therefore, our final answer is: 19.25

Hope this helps!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature :)[/tex]

What is the value of p?

Answers

Answer: 82
Explanation:

A line passes through the point (-2, 6) and has a slope of -9. Write the equation of
the line in point-slope form.

Answers

Your answer: y-6=-9(x+2)

how do i turn 2 18/60 into a decimal? Also maybe try explaining it u dont have to put im having a kinda hard time turning fractions into decimals

Answers

Answer:

Step-by-step explanation:

just go to demos scientific calculator, you shall see a button of decimal and theres your answer

The distance a wheel moves forward varies directly with the number of rotations. Suppose
the wheel moves 56 ft in 8 rotations. What distance
does the wheel move in 20 rotations?

Answers

Answer:

46

Step-by-step explanation:

irdk

140 feet travel in 20 rotations.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The wheel moves 56 ft in 8 rotations.

Now, in 1 minute the wheel travel

= 56/8

= 7

Now, in 20 rotation the wheel travels

=20 x 7

= 140 feet

Hence, 140 feet travel in 20 rotations.

Learn more about unitary Method here:

https://brainly.com/question/22056199

#SPJ2

ow do you find the radius of a circle using the circumference?

Answers

Answer:

Step-by-step explanation:

Circumference / 2 times the radius (diameter) = pi

Circumference / pi = diameter (diameter / 2 = radius)

two people describe a regular polygon. Brianna says that the polygon has side length 6.3cm and a perimeter 31.5cm. Desiderio says the polygon has side length n and perimeter 5n. which person's description tells you how many sides the polygon has without doing any calculations? why?​

Answers

9514 1404 393

Answer:

  Desiderio

Step-by-step explanation:

The number of sides of a regular polygon is multiplied by the length of the side to get the perimeter. To find the number of sides, the perimeter must be divided by the number of sides.

Brianna's description requires that division look like ...

  31.5/6.3 = 5

Desiderio's description requires that division look like ...

  5n/n = 5

Since we're supposed to tell the number of sides without doing any calculation, it seems Desiderio's description is better. (We have to realize that n/n = 1, so the factors of n cancel.)

Some of us are familiar with multiplication tables and quickly realize 30/6 = 5 based on memory. Which realization is faster depends on your memory and experience. Most would say evaluating Brianna's description cannot be done without calculation.

if you drive 80kph for 3 hours and 45 minutes how far do u drive

Answers

Answer:

300 pretty sure

Step-by-step explanation:

The growth of a bacteria population is modeled by the equation p(h) = 1,000(0.4h)
How long does it take for the population to reach 1,000,000? Explain or show how you know.

Answers

Answer:

you have to multiply then divide the o.4h

Step-by-step explanation:

The amount of time that is taken for the population to reach 1,000,000 will be 17.27.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The growth of a bacteria population is modeled by the equation given below.

[tex]\rm p(h) = 1,000 \times e^{(0.4h)}[/tex]

Then we have

Then the amount of time which is taken for the population to reach 1,000,000 will be

[tex]\rm 1,000,000 = 1,000 \times e^{(0.4h)}\\\\1000 = e^{0.4h}[/tex]

Taking log on both sides, then we have

ln 1000 = 0.4 x h x ln e

    6.91 = 0.4 x h

         h = 17.27

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

Which image shows the translated figure of quadrilateral ABCD?

Answers

Answer:

where's the picture?

Step-by-step explanation:

The ratio of students to teachers at a school is 15:1 if there are 49 teachers how many students are there

Answers

Answer:

735 students

Step-by-step explanation:

create a proportion of students to teachers

let 's' = # of students

[tex]\frac{15}{1}[/tex] = [tex]\frac{s}{49}[/tex]

cross-multiply to get:

s = 735

What is three eights written in 2 different ways

Answers

3/8
.375
Hope this helps :)

Answer:

0.375 And 3/8

Step-by-step explanation:

Please help me with these two questions

Answers

Answer:

1. -3   2. -2

Step-by-step explanation:

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