Write the standard form of the equation of the line parallel to the graph of 9x + 3y = 6 that passes through (0,3).​
SHOW YOUR WORK

Answers

Answer 1

Answer:

y + 3x = 3

Step-by-step explanation:

Standard Form of the Equation of a Line

The equation of a line in standard form is:

Ax + By = C

Where A, B, and C are constants.

The equation of a line can also be expressed in slope-intercept form, where m is the slope, and b the y-intercept:

y = mx + b

Two lines are parallel if they have the same slope, that is if m1 is the slope of a given line, and m2 is the slope of a parallel line, then m2=m1.

We are given the line:

9x + 3y = 6

Dividing by 3:

3x + y = 2

Solving for y:

y = -3x + 2

The slope of this line is m1=-3, thus the slope of the required line is also m2=-3.

The equation of that required line is:

y = -3x + b

We still don't have the value of b. To find it, we substitute the coordinates of the given point (0,3):

3 = -3(0) + b

Thus, b = 3.

The required equation of the line is:

y = -3x + 3

To write it in standard form, we add 3x:

y + 3x = 3


Related Questions

IS 7 7 Solve for a = √[? [] a a = 4 Enter the number that goes beneath the radical symbol 4 Enter​

Answers

Answer:

[tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]

So a would equal whatever the square root of 33 is.

HELP PLEASEEEE!!! URGENT

Answers

Answer:

correct option is 2 n please thanks me and also votes

Which values are solutions To the inequality below check all that apply

Answers

Answer:

6 and -5

Step-by-step explanation:

6x6=36

-5x-5=25

There were 200 baseball cards in the box.adam wanted to sell 15 percent of them. how many cards did he want to sell

Answers

Answer:

30

Step-by-step explanation:

A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the building. If the
ladder reaches 23 ft above the ground, how long is the ladder. Round your answer to the nearest tenth

Answers

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{818}\\c=28.6[/tex]

Hence,

The ladder is 28.6 feet long.

5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO AND ANSWER GIVING BRAINLIEST

Answers

Answer:

C.

Step-by-step explanation:

The equation that can be used to determine r is r = 3/.5 (1/2)

Hope this helps :)

help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

38 yards

Step-by-step explanation:

All you have to do is add up all that yardsgained and subtract the yards lost:

32-7+15-2=38

Answer:

38

Step-by-step explanation:

32-7=25

25+15=40

40-2=38

help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

To get the total amount ask the counselor

Answer:

1200

Step-by-step explanation:

18/30 is the ratio of the girls compared to the class

you can simplify it to 3/5.

the equation to solve how many girls are in the school is 3/5= x/2000

cross multiply to get 5x=6000

x=1200

pls help, basic algebra problem with guidance

Answers

Answer:

x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)

Step-by-step explanation:

The equation you were given was:

amount of solution • rate of concentration = amount of pure acid

By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.

You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:

0.18 • x = 860 mL

Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.

860 / 0.18 = x

x = 43000/9 or 4777.7

35.7 divided by 0.07
486.12 divided by 0.6
3.43 divided by 0.035
5,418.54 divided by0.009
812.5 divided by 1.25

Answers

Answer:

510, 810.2, 98, 602.06, 650

Step-by-step explanation:

its in the order as you put hope I got them right sorry if I messed up :)

Answer:

1.) 510

2.) 810.2

3.) 98

4.) 555.556

5.) 650

Seven and twelve hundredths in standard form?

Answers

Answer:

7.12

Step-by-step explanation:

Standard form is writing a number with numbers instead of letters. Word form example: three. Standard form example: 3. Because the word "hundredths" has the "ths" at the end of it, on the right side of the decimal.

Triangle ABC is a right triangle.
B
What is the length of AC?
20
Ο Ο Ο Ο
21
40
58

Answers

I don’t get the question

Use the table to Solve inequality -3x < 3

Answers

Answer:

x>-1

Step-by-step explanation:

PLEASE god answer this question, no one will ever answer my stuff.

If the simple interest on ​$6000 for 8 years is ​$2400, then what is the interest​ rate?

Answers

Answer:

there are different intrest rates, depending on where it is. but im choosing 8400

Step-by-step explanation:

PLEASE HELP, WILL GIVE LOTS OF POINTS & BRAINLY
solve the 2 questions!

Answers

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

[tex]\frac{30}{12}=\frac{15}{a}[/tex]

Now cross multiply to find value of a

[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]

Now cross multiply to find value of b

[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]

So, we get c=8

What is 6/25 as a percent

Answers

Answer:

24% yes yes yes

Answer:

24% or [tex]\frac{6}{25}[/tex]=24%

Step-by-step explanation:

We know that

[tex]\frac{6}{25}[/tex]

Is the same as

6÷25

Then, using long division gives us

0.24

Lastly, multiplying 0.24 by 100 gives us

24

Now add the percent sign

24%

Which is the graph of g(x) = 2^x-1 + 3?

Answers

Answer:

gave no examples.. this is what I got

Step-by-step explanation:

if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean of the sample will be less than 273?

Answers

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

A kilometer is ___as large as a picometer

Answers

Answer:

1.0E+15

Step-by-step explanation:

im sure this is right

Answer:

Step-by-step explanation:

To find the answer divide a 1 kilometer by x amount of picometers.

K= x of p

K = 1000000000000000

or in short text

=1e+15

What is h(x) = 7+ 10x + x2 written in vertex form?
Oh(x) = (x - 25)2 - 18
Oh(x) = (x - 5)2 + 32
h(x) = (x + 5)2 - 18
h(x) = (x + 25)2 + 32 free cookie for whoever answers

Answers

Answer:

h(x) = [tex](x+5)^{2}[/tex] -18

Step-by-step explanation:

-b/2a is the formula to find the vertex's x coordinate.

-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer

What is a translation

Answers

Answer:

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Step-by-step explanation:

Answer:

A translation is converting another language into English

Step-by-step explanation:

I am very confused, please help!

Answers

The answer is x = 12

Answer:

dk tbh

Step-by-step explanation:

Which problem situation to the equation 72 - 4x = 48

Answers

Step-by-step explanation:

[tex]72 - 4x = 48 \\ 72 = 48 + 4x \ \\ 72 - 48 = 4x \\ 24 = 4x \\ 24 \div 4 = x \\ 6 = x [/tex]

One angle of an isosceles triangle measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply. 55 35 110 75

Answers

Answer:

75 an 35 YEE YEE.

Step-by-step explanation:

im pretty sure

Please urgently need answer. Thanks

Answers

Answer:

wouldnt it be d

Step-by-step explanation:

My guess would be c

Give the digits in the ones place and the hundredths place.
74.12

Answers

Answer:

The digit in the ones place is 4 and the digit in the 100ths place is 2

Step-by-step explanation:

A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 25% of the course grade. What is the best course grade your friend can earn? % What is the minimum score would your friend would need on the final to earn a 75% for the course? %

Answers

Answer:

[tex]\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%[/tex]

Step-by-step explanation:

Assuming the maximum score for the final is [tex]100\%[/tex], we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of [tex]100\%[/tex], their overall grade for the course would be:

[tex]83(1-0.25)+100(0.25)=\fbox{$87.25\%$}[/tex].

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

[tex]83(1-0.25)+x(0.25)=75[/tex], where [tex]x[/tex] is the minimum score she needs.

Solving, we get:

[tex]62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}[/tex].

I will give brainiest to whoever answers correctly !!

Answers

Answer:

Step-by-step explanation:

a) The interest generated over the 9 months is how much the woman paid for use of the money, then:

[tex]I=C.t.i\\C=3000\\t=9\\i=3.5%=0.035\\I=3000.9.0.035=945\\I=945[/tex]

Therefore , the woman paid $945 for the use of the money.

b) The total amount that she repaid the bank is:

[tex]C_{t} =C+I=3000+945=3945\\C_{t} =3945[/tex]

Finally we have that the woman paid $3945 to the bank

PLEASE MARK ME AS BRAINLIEST

Help me here i’ll mark you brainliest❤️

Answers

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

A sheet of drywall is cut into quarters. Each quarter is cut into thirds. What fraction of a whole sheet is each of these small pieces?

Answers

Answer:

X/12

Step-by-step explanation:

X - whole drywall

X/4 -quarters

X/4/3=X/12 fraction of a whole sheet is each of these small pieces

What she said drywall stop bothering
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