A line is parallel to y = 3x - 2 and
intersects the point (3,5).
Write the equation in slope-intercept form.
y - 5 = 3(x-3)
y = [?]x + [ ]

A Line Is Parallel To Y = 3x - 2 Andintersects The Point (3,5).Write The Equation In Slope-intercept

Answers

Answer 1

Answer:

Just give me some minutes and I'll help you

Step-by-step explanation:

Formula: Y=mx+b

y= 3x-2             (3,5)

                          x,y

Answer y= 3x+5

Answer 2

The coefficient of x is the slope of the parallel line, option (C) m=3 is the correct answer.

What is slope of a line?

The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.

For the above situation,

The equation is y = 3x - 2.

The general form of equation for slope intercept form is [tex]y = mx + b[/tex]

Now compare the given equation with the general equation,

⇒ [tex]m=3[/tex].

Since the lines are parallel, the slope will be the same for all lines.

So, slope for the parallel line is also m = 3.

Now the equation in slope-intercept form that intersects the point (3,5) is

⇒ [tex]y - y1 = m(x-x1)[/tex]

⇒ [tex]y - 5 = 3(x-3)[/tex]

⇒ [tex]y-5=3x-9[/tex]

⇒ [tex]y=3x-9+5[/tex]

⇒ [tex]y=3x-4[/tex]

Hence we can conclude that the coefficient of x is the slope of the parallel line, option (C) m=3 is the correct answer.

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Related Questions

Let f(x) = 3x² + 2x – 4 and g(x) = 5x + 7.
Which of the following terms will be part of f(x) + g(x)?

Answers

Answer:

i dont know fr sorry i need the points );

Step-by-step explanation:

Answer:

3x²+7x+3

Step-by-step explanation:

Change 10 m/s in km/h

Answers

36 km/h is the answer

Answer:

The answer is 36km/h

Step-by-step explanation:

10m/s * 3,6 = 36km/h

Give the equation (y=mx+b) of the line for the graph below.

Answers

Answer:

y = -2x+3

Step-by-step explanation:

Hard for me to explain through typing but others will say if its right or wrong.

Please answer

3x+5x-5x

Answers

Answer:

3x

Step-by-step explanation:

Combine Like Terms:

=3x+5x+−5x

=(3x+5x+−5x)

=3x

Hope it helps :)

Answer:

=3x

Step-by-step explanation:

cancel out 5x-5x, which leaves you with 3x.

i hope this helps :)

You randomly choose a marble from a jar. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Find the probability of choosing a blue marble as a PERCENT.

Answers

Answer:

first add all the marbles

25 total

then there are 10 blue marbles

so the probability is 10/25

u hope that helps

have a nice day

#Captainpower

can I get a brainliest pls

Answer:

40%

Step-by-step explanation:

10 out of 25 = 40 %

Have a great day

Hope it helps :)

Isaac has a points card for a movie theater. He receives 45 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket.

Answers

Answer: 10 visit

Step-by-step explanation:

Given

45 Points earned by signing up

11.5 points earned for each visit to the theatre

160 points are needed for a movie ticket

Suppose, after x visit he gets enough points to buy a movie ticket

[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]

So, after 10th visit, he earns a movie ticket

quick! A cone has a volume of 1356.48 cubic centimeters and a height of 16 centimeters. What is its radius?

Answers

Answer:

≈9

Step-by-step explanation:

V= πr^2(h/3)

1356.48= πr^2(16/3)

r= 8.99 or about 9

Simplify 1/2 (8x + 6) + (3x -2)

Answers

Answer:

Simplified

Step-by-step explanation:

    1

--------------

19x +10

Answer:

7x+1

Step-by-step explanation:

1/2 (8x+6) + (3x-2)

distribute the 1/2 into (8x+6)   --- ( just means to divide by 2)

4x+3 + (3x-2)

then put common terms together

4x + 3x = 7x

+3 -2 = 1

= 7x + 1

A and B are both positive integers. Which expression is equivalent to - A-(-B)?
B-A
-A-B
A-B
A+B


Help

Answers

Answer: B-A

Step-by-step explanation:

We know that it is -A - (-B)

The negative sign on the A stays as it is, eliminating choices A-B and A+B.

For the sign in front of B, a double negative creates a positive. - (-B) is essentially -1 x -B, which is B. You can check this through your calculator.

Therefore, the answer is -A+B, or B-A. Hope it helps!

Marcus investigates businesses to see how much product they need to sell to make a profit. At a cupcake company, Marcus wants to figure out the minimum number of cupcakes they need to sell each week to make a profit.
It costs 35 cents in supplies to make each cupcake.

His rent, electricity and labor costs for his store each week is $1850.00.

He sells each cupcake for $5.50.

What is the minimum number of cupcakes needed to make a profit?


337



359


360


5286

Answers

Answer:

360

Step-by-step explanation:

What two numbers multiply to get 3 and add to get 6

Answers

Answer:

3

Step-by-step explanation:

Options

1. 13
2. 15
3. 16
4. 18

Answers

Answer:

16 units.

Step-by-step explanation:

Using the hypotenuse formula (a^2 + b^2 = c^2) we can determin that AB and BC is 5 units long, now we add AB, BC and AC together and we get 16.

Umsdj djdjd. Do dj did a big job interview today and I saw that there was a virgin on her own business w

A function is a relation in which every input has exactly one output. Which choice represents a function?

Answers

The top answer is a virus please DONT click it

Substitute each given value of the variable to find which, if any, is a solution of inequality.

Answers

Given:

The inequalities are:

a) [tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

b) [tex]t>-25, t=-24, -25, -25.1, -27[/tex]

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

[tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

After substituting the given values one by one, we get

[tex]-4.3<-8[/tex] False statement.

[tex]-5.3<-8[/tex] False statement.

[tex]-8.3<-8[/tex] True statement.

[tex]-9<-8[/tex] True statement.

Therefore the solutions of [tex]w<-8[/tex] are [tex]w=-8.3, -9[/tex].

b)

We have,

[tex]t>-25, t=-24, -25, -25.1, -27[/tex]

After substituting the given values one by one, we get

[tex]-24>-25[/tex] True statement.

[tex]-25>-25[/tex] False statement.

[tex]-25.1>-25[/tex] False statement.

[tex]-27>-25[/tex] False statement.

Therefore, the solution of [tex]t>-25[/tex] is [tex]t=-24[/tex].

Can somebody plz help answer these questions correctly (only if u know how to do it) thx sm! :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD

Answers

Answer:

<5 = 30

<6 = 60

<BFD = 120

Step-by-step explanation:

An experienced carpenter could build a house in 4 days. How much would he have finished if
he worked for 3 days?

Answers

Answer:

Percentage: 75%

Fraction: 3/4

Step-by-step explanation:

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answers

Answer:

Step-by-step explanation:

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4W = 25

Step-by-step explanation:

The hanger is balanced, so each side must have the same quantity.

There are 4W on one side and 25 on the other. That means that 4W and 25 must equal each other in order to keep the hanger balanced.

Answer:

We can see on one side there is 4 w's and on the other side is a 25, because the hanger is balanced these must be equal:

We can form the equation:

4w = 25

w = 6.25

If u need anymore help understanding let me know :)

hope this helps :0

Step-by-step explanation:


Find the area of the figure. Round to the nearest tenth.

HELP ASAP!!

Answers

Answer:

A

Step-by-step explanation:

f=1/2(a+b)×h1/2(1.6+4)×22.8×25.6 since to round off 5.6 to the nearest tenth consider the hundredths' value of 5.6 which is 0. therefore the tenths value of 5.6 remains 5.6

The Longboat Key town council wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each term to the example it best describes. Each tile may be used only once.

Answers

Answer:

Drivers who reside in longboat= Not a Representative Sample

Residents of long boat key= Population

Residents randomly chosen= Representative sample

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don't know

Pleasseee I’ll give BRAINLIEST

Answers

Answer:

It’s the third option

Step-by-step explanation:

Cuz 4^2 - 2^2 equals the third option

Tina said that circles in a Venn diagram must always overlap. Is Tina correct yes or no? Explain your answer.​

Answers

Answer:

No

Step-by-step explanation:

This is because a Venn diagram is made up of two or more circles. The Venn diagram is used to find the amount that everyone agrees with. This means you have to make them overlap in order to find the answer.

put the following equation of a line into slope-intercept form, simplifying all fractions 16x - 4y = -20

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

16x - 4y = - 20 ( subtract 16x from both sides )

- 4y = - 16x - 20 ( divide terms by - 4 )

y = 4x + 5 ← in slope- intercept form

The equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].

What is the slope of line?

The slope of a line gives the measure of its steepness and direction.

The slope of a straight line between two points says [tex](x_1,y_1),(x_2,y_2)[/tex] and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘[tex]m[/tex]’.

As we know that, the equation of a line in slope- intercept form is

[tex]y = mx + c[/tex]

where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.

So,

[tex]16x - 4y = - 20\\\\-4y=-20-16x\\\\-4y=-(16x+20)\\\\4y=16x+20\\\\y=\frac{16x}{4}+\frac{20}{4}\\\\y=4x+5[/tex]

Hence, the equation of a line into slope-intercept form is [tex]y = 4x + 5[/tex].

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Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.

Answers

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

Given that the triangles are similar find the scale factor of ABC to ACD and the value of X.

SCALE FACTOR ABE TO ACD

Answers

Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75

x= 24[tex]\frac{1}{2}[/tex] or 24.5

Step-by-step explanation:

12+16=28

12+9=21

x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]

x= 14(17.75)=24.5

ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]

ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]

(13x-26) (5x+8) PLEASE HELP

Answers

Answer: X= 11

Step-by-step explanation: 13x-26 and 5x+8 are Linear Pairs which are supplementary. 13x-26+5x+8 is equal to 18x-18=180. 18x=198 and then X=11

PLEASE ANSWER QUICKLY

Robert's yacht holds 70 passengers. Each hour he stops at the marina to let some passengers off and on. The scatter plot shows how many passengers are on board during each hour of boating
write an equation in slope intercept form for the line that is drawn
use the equation to make a conjure about how many passengers will be on the boat at hour six

Answers

Answer:

65 passengers

At hour six, about 54 passengers will be on the boat.

What is the line of best fit?

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Sum of X = 15

Sum of Y = 195

Mean X = 3

Mean Y = 39

The sum of squares (SSX) = 10

The sum of products (SP) = 50

Regression Equation = ŷ = bX + a

b = SP/SSX = 50/10 = 5

a = MY - bMX = 39 - (5*3) = 24

ŷ = 5X + 24

When x = 6,

we get ŷ = 5(6) + 24 = 54

Therefore, the approximate number of passengers is 54.

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Convert these numbers into Scientific Notation

Answers

Answer:

1000=1×10^3

98000=9.8×10^4

[tex]\huge\boxed{\boxed{\textbf{Hi\:there!}}}}[/tex]

First of all, when we convert numbers to scientific notation, we should recall what scientific notation looks like.

A number in scientific notation looks like that:

____x10^-

____ is the coefficient (it should always be between 1 and 10)

- is the exponent.

1,000 in Scientific notation looks like so:

10x10^2

Now, the exponent doesn't mean that we multiply 10 times 10. It means we take 10 and move the decimal point 2 units to the right (the positive exponent indicates that we move the decimal point to the right)

98,000 in Scientific notation looks like so:

9.8x10^4

[tex]\huge\boxed{\boxed{\sf{Hope\:this\:helps\:you!:)}}}[/tex]

[tex]\large\textbf{Good\:luck!}[/tex]

[tex]\large\mathfrak{LoveLastsAllEternity}[/tex]

NO SCAMMERS!!!! I WILL REPORT! MAX POINTS!!!!! ARCS & ANGLES NEED TO KNOW HOW TO DO IT. ANSWERS ALSO VERY MUCH APPRECIEATED !!!FRESHMAN CLASS GEOMETRY!!!

Answers

Answer:

[i] 12x + 5 = 1/2(83 +95)

12x + 5 = 89

12x = 84

x = 7.

[ii] 9x + 7 = 1/2(198 + 7x - 8)

18x + 14 = 198 + 7x - 8

11x = 176

x = 16.

[iii] 15x - 8 = 1/2(16x +1 + 5x + 19)

30x16 21x + 20

9x = 36

x = 4.

[iv] 20x - 4 = 360 - 2 × 72

20x = 220

x=220/20=11°

[v] 13x - 1 = 2(6x + 11)

13x - 1 = 12x + 22

x = 23.

[vi] 46 = 1/2(21x-5-x-23)

20x2892

20x = 120

x = 6.

[vii] 6x - 21 = 1/2(13x - 3-3x - 11)

12x - 4210x - 14

2x = 28

x = 14.

[viii] 2x + 1 = 1/2(9x − 14 − 4x + 7)

4x + 2 = 5x - 7

x = 9.

[ix] 9x - 4 = 180 - 76

9x - 4 = 104

9x = 108

x = 12.

Solve the following quadratic equation for all values of x in simplest form.
(x – 4)^2 – 47 = 32

Answers

Answer:

x=4-√79, x=4+√79

Step-by-step explanation:

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