A line passes through the point (3,3) and is parallel to the line given by the equation Y=-2/3x - 2
What is the equation of the line?
A. Y=3/2x
B. Y=-2/3x+5
C. Y=2/3x-5
D. Y=-3/2x+1

Answers

Answer 1

Answer:

B. [tex]y=-\frac{2}{3}x+5[/tex]

Step-by-step explanation:

Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)

Parallel lines have the same slope.

So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].

So we can write the equation of the line as y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y by doing:

[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]

Now we know the y intercept (b) we can write the equation of the line.

[tex]y=-\frac{2}{3}x+5[/tex]

Answer 2

The equation of the line would be equal to y= -2/3x + 5

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

The Equation of a line: y=mx+b

Where m is the slope and b is the y- intercept

Since Parallel lines have the same slope.

So we can write the equation of the line as;

y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y

y= -2/3x+b

3 = -2 + b

b = 5

Now we know the y intercept (b) we can write the equation of the line.

y= -2/3x + 5

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Related Questions

ill give brainIiest to the right answer

Answers

Answer:

[tex]K=6[/tex]

Step-by-step explanation:

In f(x) graph the vertex is at x=4

In g(x) the vertex at x=-2

so, the graph is shifted 6 units left. when the graph is shifted k units left then f(x) becomes f(x+k)

here the  graph is 6 units left so.. K= 6

[tex]-----------[/tex]

hope it helps...

have a great day!!

Solve the following equation for x.

x2+19x+18=8x
Enter one solution in the first box. If there are two solutions, enter the second solution in the second box.

x =

x =

Answers

Answer:

=−2

=−9

Step-by-step explanation:

Walter scored a 1,285 on a national test in January. He
decided to take the test in March again and scored 1,230.
What is the percent decrease in Walter's test scores?
ROUND TO THE NEAREST HUNDREDTH.

Answers

Answer:

4.28%

Step-by-step explanation:

1285 - 1230=55

(55/1285) ×100%=4.28%

Which expression(s) are equivalent to the given expression?
6x - 18y + 36
A 2(3.2 - 9y + 18)
B 3(2x - 6y +12)
c|4(2x - 14y + 32)
D 6(2-3y +36)
E9(6x - 2y + 4)

Answers

Answer:

B

Step-by-step explanation:

You just need to multiply the first number by every number in the parantesis Take care bby :)))

Answer:

B

Step-by-step explanation:

B: 3x2x= 6x

   3x6y= 18y

   3x12=36

If there's more I apologize but that is all that I could find.

Mr.davis, the volleyball coach, has 7 outstanding players. He will draw one name out of a jar to decide who stays on the bench. Brianna, one of the outstanding players, wants to know what is the probability of her not playing?​

Answers

Answer:

7/1

Step-by-step explanation:

There are 7 players if the coach randomly draws a name that determines who stays on the bench there is a 1/7 chance Brianna will stay on the bench because there are 7 people and Brianna is 1  of them

help pls ! i need help please

Answers

Answer:

115 degrees

Step-by-step explanation:

The line RQ meets at 115 degrees (Look at the bottom numbers)

It's not 65 degrees because the angle is obtuse.

hey brainless riddle me this

Answers

i’m brainless i don’t know any riddles
What’s the riddle and I bet that I can

Solve each equation
For points!!

Answers

Answer:

x = 10

x = -7

x = -8

x = 60

x = 44

Step-by-step explanation:

Pls mark me brainliest


A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?

Answers

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

How many terms are in 3x + 2y - 5?

Answers

Answer:

3

Step-by-step explanation:

3x=1 term

+2y= 2 term

-5= 3 term

Answer:

there are 3 terms in this equation

Step-by-step explanation:

3x --- this is the 1st term

2y --- this is the 2nd term

5 --- this is the 3rd term

(brainliest plz)

What is the name ?

Help please

Answers

Answer:

chord

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc

HELP PLEASE 15 POINTS

Answers

The measurement of angle L is 65

456*43-53(45)................help

Answers

Answer: 17223

Step-by-step explanation:

You have to multiply your

Step-by-step explanation:

456×43-53(45)=

19608-53(45)

19608-2385

17223 Answer

help please!

1.What is the y intercept of the function?
2.What is the first difference?
3.Write an equation to represent the function given in the table. Remember we write linear functions in y=mx+b form!

Answers

Answer:

1.What is the y intercept of the function?

y-coordinate when x = 0, take from the table.

(0, 5)

2.What is the first difference?

Difference of y-values. This is the slope

7-5 = 2

3.Write an equation to represent the function given in the table

Use the first difference and the y-intercept: b = 5, m = 2

y = 2x + 5

Does anyone know the answer to this help fast!

Answers

180-90=3x
90=3x
X=30

90+x+y=180
90+30+y=180
120+y=180
Y=60
I think it is 60. 60 is the answer.

Which of the following is NOT an arithmetic sequence?

1) 15, 9, 3, -3, -9

2) 4, 7, 10, 13, 16

3) 1, 2, 3, 4, 5

4) 2, 4, 8, 16, 32

Answers

Answer:

2, 4, 8, 16, 32

Step-by-step explanation:

A round tabletop is 6' in diameter. A sample jar of paint will cover 30 square feet. Is there enough paint to cover the tabletop?​

Answers

Answer:

Yes, there is enough paint to cover the table top.

Step-by-step explanation:

We are told in the above question that the table top is round = circular

The area of a circle = πr²

Diameter = 6 feet

Radius = Diameter/2 = 6 feet/2 = 3 feet

Area of the table top= π × 3²

= 28.27 square feet

We are told that the a sample jar will cover 30 square feet.

Therefore, yes, there is enough paint to cover the table top.

(4x – 17)
(5x - 1)

What is x?

Answers

Answer:

9x-18=90 9x=108 x=12,,,,,,,,,,,,,,,,

What is the coordinate of the focus
for the following parabola:
(x - 1)^2 = 12(y + 2)

Answers

Answer:

D

Step-by-step explanation:

The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.

Given that, equation of the parabola,

[tex](x - 1)^2 = 12(y + 2)[/tex]


What is a parabola?

A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.

Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2

And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)      

     

             

Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.


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0.5 gallons plus 0.5 gallons plus 2 gallons plus 1gallon basicly i need to know how to add gallons.

Answers

Answer: 5 gallons

Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1

The answer would be 4 gallons.
You add them like you would any other decimals and numbers. .5+.5=1 then 2+1+1=4

Help plz what is X AND PLZ EXPLAIN

Answers

Hi there!

[tex]\large\boxed{x = 16}[/tex]

.5x + 3 = 11

To begin, we can subtract 3 from both sides:

.5x + 3 - 3 = 11 - 3

.5x = 8

To cancel out the .5, we must multiply both sides by 2: (.5 × 2  = 1)

2(.5x) = 2(8)

x = 16.

HELP ASAP PLEASE WILL GIVE BRAINLEAST (no links scammers)

Answers

Answer: B

Step-by-step explanation: C and D are not correct because if you add up the x's, they will not be equal. A is only true for the first graph, and nit the second, so it won't be A. B is the best answer.

What is 100-80 ÷ 4 + (6-3)

Answers

Answer:

83

Step-by-step explanation:

100-80 ÷ 4 + (6-3)=100-20+3=80+3=83

Answer:

83

Step-by-step explanation:

100-80 ÷ 4 + (6-3)

100-80/4 +  3

100- 20 + 3

 80 + 3

    83

hey cutie pls help me !!​

Answers

Looks like it should be D since they spent 0.08 on tickets and get 1.92. Then shirts are $55 so we subtract this from the profit.

Name a pair of adjacent angles

Answers

Answer:

Angle 1 and Angle 2 are adjacent angles.

A hospital near a ski resort records the types of injuries treated during ski season and other seasons
over a year. The results shown in the table will help determine the medical staff that is required at
different times of the year. According to the data in the table, what is the probability that a patient will
need to be treated for a broken bone during ski season?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the types of injuries and the frequency of each injury are not given.

A general way to solve a question like this, is as follows;

First: Calculate the total frequency.

Assume the given dataset is:

[tex]\begin{array}{cc}{Injury} & {Frequency} & {Dislocation} & {20} & {Strain} & {5} & {Broken\ Bone} & {10} & {Bruise} & {15} \ \end{array}[/tex]

The total frequency is:

[tex]Total =20 + 5 + 10 + 15[/tex]

[tex]Total =50[/tex]

Next, write out the frequency of broken bone injuries

[tex]Broken\ Bone = 10[/tex]

Calculate the probability by dividing the number of broken bone by the total frequency

[tex]Pr= \frac{10}{50}[/tex]

[tex]Pr = 0.20[/tex]

Will give brainist help!!!

Answers

Answer:

A

Step-by-step explanation:

Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies. Each cookie costs $1.25. Desiree sells 12 cookies and 8 cupcakes for a total of $33.00.


The cost of 1 cupcake is

$1.65
$1.92
$2.06
$2.25

Answers

Answer:

2.25$

Step-by-step explanation:

The cost of each cupcake the food court mall sells is $2.28.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies.

Each cookie costs $1.25 and assuming the cost of the cupcake is x.

(1.25×12) + (8x) = 33.30.

15 + 8x = 33.30.

8x = 18.3

x = 2.28

learn more about numerical expressions here :

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A faraway planet is populated creatures called Jolos. All Jolos are either
green or purple and either one headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 500
contains 100 green, one-headed Jolos; 125 purple, two-headed Jolos; and
270 one-headed Jolos.

Answers

Your answer is B. 205.

Because when you subtract 270 - 100 it equals 170 then you add 170 + 125 which equals 295 then you subtract 500 - 295 it equals 205 which is your answer!

      Hope this helps!

Answer:

b

Step-by-step explanation:

Which statement Is always true?
The sum of two Irrational numbers is rational.
The product of a rational and irrational number is rational.
The sum of two rational numbers is irrational.
The product of two rational numbers is rationall

Answers

Answer:

D) The product of two rational numbers is rational.

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