What is the equation of the line that passes through the points (0, 6) and (-3, 0) and is parallel to y = 2x + 5

Answers

Answer 1

answer:

y=2x+6

solution:

Alright, since the line is PARALLEL, the slope will remain the same. let call the # we will add to that b (like the 5 in y=2x+5).

so the formula will be y=2x+b

to find be, we will plug in one of the ordered pairs

6=2(0)+b

6=0+b

b=6

So, our equation is y=2x+6

to check:

(-3,0)

0=2(-3)+6

0=-6+6

0=0

Answer 2

Answer:

y = 2x + 6

Step-by-step explanation:

The equation for this is y=mx+b, m being for slope and b being the y-intercept.

The first and easiest way to figure out this first is by finding the slope. Now because you have the information that it needs to be parallel, it's very fast and simple. Parallel means that it has the same slope and the lines will never cross each other. So, since the slope for this is 2, the new line you will be making will also have a slope of 2.

EXTRA NOTE- if it were perpendicular, you'd want to do the opposite reciprocal. Instead of being 2, it'd be -1/2, but luckily we're just dealing with parallel.

Now we need to find what the y-intercept is. Since math basically has a formula for everything, you will be using y-y(1)= m(x-x(1)). Now that looks slightly confusing, but basically you will just plug your y value into the y(1) and x coordinate into x(1) to simplify into slope intercept form (don't forget your slope!). It's always easier to use positive numbers for this, so I'll be using the coordinates (0, 6) and plug it in.

REMEMBER- coordinates are (x, y). Don't get it mixed up!

1. Write out your equation: y - 6 = 2 ( x - 0 )

2. Distribute: y - 6 = 2x - 0

3. Add 6 to the other side to get into your slope intercept form:  y = 2x + 6

And that's how you get your line. Hope this helped and made at least some sense. :)


Related Questions

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height as the cylinder? ​

Answers

The volume of the cylinder is 395.64 cubic cm

What is 2 3/4+(−1 1/8)?
Group of answer choices:
−3 7/8


−1 5/8


1 5/8


3 7/8

Answers

Answer:

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

Step-by-step explanation:

Either you typed the question wrong, or the answers wrong. I double-checked with a calculator. The answer I got isn't one of the options :/

Find the area of this shape

Answers

Answer:

14

Step-by-step explanation:

A motion detector at the corner of a building can detect motion outside within a radius of 20 feet. Within what area can it detect motion? The building takes up ¼ of the circle

Answers

To find area of full circle

A= pi*r^2
A=pi*20^2
A=1256 ft^2

Now figure only for the 3/4 of circle the building don’t cover

A=1256*.75
A=942 ft^2

So the area it can detect is 942 ft^2

HELPPPPP!
Seven more than the product of 7 and Craig's score

Answers

Answer:

14

Step-by-step explanation:

7+7

Let’s say Craig’s score is x...

Product = multiplication

So...

7x+7

;)

Eve earns 20% commission as a salesperson. She sold an aquarium that cost 56 dollars. How much commission did Eve earn?​

Answers

Answer:

Step-by-step explanation:

HELP!!! 20 points!!!

Answers

Answer:

trapezoid

Step-by-step explanation:

as long as one group of sides is parallel and the other is not, it's a trapezoid.


Valerie took a quiz with 10 questions. If she answered 2/5 of the questions correctly, how many did she get wrong?

Answers

Answer:

3/5; 6 questions

Step-by-step explanation:

She got 3/5 of the questions wrong

So,

3/5 of 10 = 3 * 2 = 6 questions

Answer:

3/5 = 6/10

Step-by-step explanation:

Valerie only got 4 questions correct meaning she got 6 questions incorrect.

2/5 = 4/10

which means

3/5 = 6/10.

Meaning she only got 6 wrong.

(Score for Q4 1. Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must cut the bricks to fit the angles of the garden. Use the given measures to answer the question. MZA= 1° mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x) What are the angle measures of each vertex of the garden? Show your work. B B A С E D Answer. D Focus​

Answers

Complete question :

Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must

cut the bricks to fit the angles of the garden. Use the given measures to answer the question.

mzA=x

mZB=(5x-5)

m2C =(2x +20)

mZD=(3x-15)

mZE =(4x)

What are the angle measures of each vertex of the garden? Show your work.

Answer:

m<a=36

m<b=175

m<c=92

m<d=93

m<e=144

Step-by-step explanation:

Use the given measures to answer the question. MZA= x mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x)

We are given five angles :

Using the sum of interior angle of a regular polygon formula :

180(n - 2) ; where, n = number of sides ;

180(5 - 2) = 180 * 3 = 540°

The sum of the 5 angles should add up to 540°

x + (5x - 5)° + (2x + 20)° + (3x - 15)° + 4x = 540

5 + 20 - 15 + 5x + 2x + 3x + 4x + x = 540

15x = 540

15x = 540

15x = 540

x = 36

mzA= 36°

mZB=(5(36)-5) = 175°

m2C =(2(36) +20) = 92°

mZD=(3(36)-15) = 93°

mZE =(4(36) = 144°

Artaud noticed that if he takes the opposite of his age and adds 38 he gets the number 22. How old is Artaud?

Answers

Answer:

16 years old

Step-by-step explanation:

22-38 = -16

The inverse of -16 = 16

16 years old is the answer on edge 2021

A random sample of students were asked whether they prefer milk juice or water is it results are summarized in the table.

Answers

Answer:

C

Step-by-step explanation:

The probability of students response is milk is 0.311.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The table shows the students preference of milk, juice or water.

Total number of students preferred milk = 14

Total number of students = 45

Thus the probability that the students response is milk is

[tex]P(e)=\frac{14}{45}[/tex]

⇒ [tex]P(e)= 0.311[/tex]

Hence  we can conclude that the probability of students response is milk is 0.311.

Learn more about probability here

https://brainly.com/question/24091416

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help me please for points​

Answers

Answer:

the answer is c

Step-by-step explanation:

2/5=.4

4/8=.8

.4 is smaller than .8

Answer:

C

Step-by-step explanation:

2/5= 0.4

1/10= 0.1

4/5= 0.8

9.54
What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
9
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

9.5

Step-by-step explanation:

What congruence criterion shows that
A ACE A BCD
?
E
B
A
D
AAS
SAS
HL
O ASA

Answers

Answer:

SAS

Step-by-step explanation:

It shows that triangle ACE and BCD are congruent by

SAS axiom

HOPE IT HELPS :)

by sas

EC=CD[GIVEN]

AC=CB(GIVEN)

<ECA=<BCD()VERTICAL OPPOSITE ANGLE

Identify the excluded values of this product. Then rewrite the product in simplest form.

Answers

Answer:

2y+10/y

Step-by-step explanation:

Plato

Answer:

2(y+5)/y

Step-by-step explanation:

edmentum

Without finding the quotient, is the value of the expression (-3 1/3 + 3 1/2) ÷ (-1/4) positive or negative? Explain.
PLZ HELP ASAP

Answers

The expression (-3 1/3 + 3 1/2) ÷ (-1/4) is a division of a positive numerator by a negative denominator, and thus the quotient is negative.

What is an expression?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a quantity or a mathematical relationship between quantities.

To determine whether the value of the expression (-3 1/3 + 3 1/2) ÷ (-1/4) is positive or negative, we need to analyze the signs of the numerator and denominator.

First, let's convert the mixed numbers to improper fractions:

-3 1/3 = -10/3

3 1/2 = 7/2

So the expression becomes:

(-10/3 + 7/2) ÷ (-1/4)

Now let's analyze the signs:

The numerator is the sum of two fractions with different signs, so we need to subtract their absolute values and use the sign of the larger one.

|10/3| = 10/3 and |7/2| = 7/2, so the larger fraction is 10/3.

-10/3 + 7/2 = (-20 + 21) / 6 = 1/6, so the numerator is positive.

The denominator is negative because it is a fraction with a negative denominator.

Therefore, the expression (-3 1/3 + 3 1/2) ÷ (-1/4) is a division of a positive numerator by a negative denominator, and thus the quotient is negative.

To learn more about the expression, visit:

https://brainly.com/question/723406

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HELP PLEASE DUE IN 3 MINUTES

Answers

The median is the number in the middle, which is 123.

When trying to find the median, you first have to put all the numbers in numerical order-- 110, 123, 123, 145, 256-- then find the number in the middle. The number in the middle is 123.

If this is incorrect, please, don't refrain to tell me. Thank you.

This recipe makes 24 shortbread fingers. Rose follows this recipe, but only wants to make 8 fingers. How much of each ingredient does she need?

Recipe: makes 24

120 g butter
60 g sugar
180 g flour

please help me

Answers

Answer:

Butter: 40g Sugar: 20g Flour: 60g

Step-by-step explanation:

Divide everything by 3

120/3= 40g

60/3= 20g

180/3= 60g

Answer:

she needs 40 g of butter  20 g of sugar and 60g of flour  

Step-by-step explanation:

24 divided by 3 = 8   you need to cut the recipie to one third

120 divided by 3= 40   60 divied by 3 = 20 and   180 divided by 3 = 80

Brianna babysits on the weekend. She charges $7 per hour. Last weekend she made $63. How many hours did she babysit?
a. 7/h = 63
b. h/7 = 63
c. 7h = 63
d. 7 + h = 63

Answers

Answer:

I think its C but I think you have another response as another possibility!

Answer:

C

Step-by-step explanation:

I am new to this whole thing so don't mind me. However, I do need help with this since it don't make sense to me.

Answers

Answer:

expoential growth

inceaces by 1

mutiplied by 3

Step-by-step explanation:

5(2v - 9) = 7v + 36


Help please!

Answers

Answer:

= 2 7

Step-by-step explanation:

Answer:

v=27 easy

Step-by-step explanation:

help!

i’ll give a brainiest to the correct answer:D

Answers

Answer:

104.4

tell me if you need solution

What is the value of p?
p-4=2p-14

Answers

Step-by-step explanation:

p-4=2p-14

p-2p=-14+4

-p=-10

p=10

A population of bacteria is increasing by 10% each hour.

Find the percentage increase in the population every 3 hours.

Answers

30% is the answer as if you make 10% each hour then you times it by 3 for 3 hours

Solve for x in the following:​

Answers

Answer:

[tex] \boxed{\boxed{ \red{\: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometry equationPEMDAStips and formulas:[tex] \cos(t) = \sin( \frac{\pi}{2} - t ) [/tex][tex] \sin(t) - \sin(s) = 2 \cos( \frac{t + s}{2} ) \sin( \frac{t - s}{2} ) [/tex]let's solve:[tex] \sf use \: first \: formula : \\ \sin(5x + 4) = \sin( \frac{\pi}{2} - (5 x + 4) )\\ \sin(5x + 4) = \sin( \frac{\pi}{2} - 5 x - 4) \\ [/tex][tex] \sf move \: the \: expresson \: to \: left \: side \: and \: change \: the \: sign : \\ \sin(5x + 4) - \sin( \frac{\pi}{2} - 5 x - 4) = 0\\ [/tex][tex] \sf use \: 2nd \: formula : \\ 2 \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf divide \: both \: sides \: by \: 2 : \\ \cos( \frac{8x - 56 + \pi}{4} ) \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex][tex] \sf separate \: the \: equation: \\ \cos( \frac{8x - 56 + \pi}{4} ) = 0 \\ \sin( \frac{12x + 72 - \pi}{4} ) = 0[/tex]

therefore

[tex] \therefore \: x = \begin{cases} \frac{\pi}{8} + 7 + \frac{k\pi}{2} \\ - 6 + \frac{\pi}{12} + \frac{k\pi}{3} \end{cases}[/tex]

What is the missing polynomial ?-(20-4x5x^2)=20-7x^2

Answers

Answer: [tex]-2x^2-4x+40[/tex]

Step-by-step explanation:

Suppose the missing polynomial be f(x)

So, we can write

[tex]\Rightarrow f(x)-(20-4x+5x^2)=20-7x^2\\\Rightarrow f(x)=20-7x^2+(20-4x+5x^2)\\\Rightarrow f(x)=-2x^2-4x+40[/tex]

please help and thank you​

Answers

Answer:

Step-by-step explanation:

2)  

x + 14 [tex]\frac{13}{25}[/tex]  =  -0.87

x + [tex]\frac{363}{25}[/tex] = - [tex]\frac{87}{100}[/tex]

x + [tex]\frac{1452}{100}[/tex] = - [tex]\frac{87}{100}[/tex]

x  = - [tex]\frac{87}{100}[/tex] - [tex]\frac{1452}{100}[/tex]

x = - [tex]\frac{1539}{100}[/tex]

3)

x -8 [tex]\frac{5}{6}[/tex] = 1.5

x - [tex]\frac{53}{6}[/tex] = [tex]\frac{9}{6}[/tex]

x =  [tex]\frac{9}{6}[/tex] + [tex]\frac{53}{6}[/tex]

x = [tex]\frac{62}{6}[/tex]

x = [tex]\frac{31}{3}[/tex]

4)

x - [tex]\frac{7}{12}[/tex] = - 7 [tex]\frac{7}{16}[/tex]

x - [tex]\frac{28}{48}[/tex] = - [tex]\frac{119}{16}[/tex]

x = - [tex]\frac{357}{48}[/tex] + [tex]\frac{28}{48}[/tex]

x = - [tex]\frac{329}{48}[/tex]

5)

[tex]\frac{8}{9}[/tex] - x = 6 [tex]\frac{1}{15}[/tex]

[tex]\frac{8}{9}[/tex]  = [tex]\frac{91}{15}[/tex] + x

[tex]\frac{40}{45}[/tex] - [tex]\frac{273}{45}[/tex] = x

- [tex]\frac{233}{45}[/tex] = x

x = - [tex]\frac{233}{45}[/tex]

6)

-33.754 - x = 28.05

-33.754  - 28.05 = x

- 61.804 = x

x = - 61.804

Tell which term you would add or subtract on both sides side of the equation so that the variable is only on one side.
7X – 1 = 2x + 5

Answers

Answer:

x=6/5

Step-by-step explanation:

math question please help

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hello There!

First things first, we should find the rate of change / slope

given two points we can find the slope by using the slope formula which is

(let m be slope)

[tex]m = \frac{y_2-y_2}{x_2-x_2}[/tex]

To find the slope all we have to do is plug in the points

(1,5),(2,10)

remember the first numbers in an ordered pair are the x values and the second numbers are the y values

we also plug in the points of the second ordered pair first so

[tex]m=\frac{10-5}{2-1} \\10-5=5\\2-1=1\\m=\frac{5}{1} or5[/tex]

Knowing the slope we can create an equation to find the x value (a)

y=5x

given the y value we plug in y and solve for x

15=5x

divide each side by 5

15/5=3

5x/5=x

we're left with

x=3

so we can conclude when y =15 x = 3 therefore 3 is your answer

A cylinder has a volume of 48π
cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights. Simplify fractions and write in the form a/b, if necessary.

Answers

Answer:

fddddisjsjjsjenejucudjjeennfjciicf

Answer:

for 2h the volume is 96π

for 5h the volume is 240π

for h/2 the volume is 24π

for h/5 the volume is 9.6π

Step-by-step explanation:

I hope this helps! if not i don't know what to say..

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