Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .

Answers

Answer 1

Answer:

[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]

Step-by-step explanation:

Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule

[tex]m_1=m_2[/tex]

so we rewrite the equation in slope-intercept form:

[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]

and now we compare it with our slope-intercept form equation:

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

the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.

now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.

[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]

now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:

[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]

so this is our given line.


Related Questions

I NEED HEP ASAP!?!! , someone pls help me.

Answers

Answer:

srry this aint no 5 point question Ma'am (absolutely no hardfeelings :D)

Step-by-step explanation:

Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answer

Answers

Answer:

essentially, in these problems, youre finding the square root of each number. the square root should be a decimal thats in between two other numbers, and those will be the integers that the value of the square root is between. unless the value is exactly a number and a half, it will be closer to one integer than the other. the work is below.

square root of:

59= 7.68

68= 8.246

78= 8.83

93= 9.64

104= 10.198

124= 11.14

33= 5.74

185= 13.6

215= 14.66

these are just the square roots. but, as you can see, each number is between two other whole numbers on a number line. So, just write down what those numbers are.

7.68 is between 7 and 8

8.246 is between 8 and 9

8.83 is between 8 and 9

9.64 is between 9 and 10

10.198 is between 10 and 11

11.14 is between 11 and 12

5.74 is between 5 and 6

13.6 is between 13 and 14

14.66 is between 14 and 15

so, we know thw numbers that each decimal is between, but we have to find which one each is cloest to. in order to do that, just know that if the decimal is more than .5 its closer to the larger number, and its its less than .5, its closer to thw smaller number.

7.68 is closer to 8

8.246 is closer to 8

8.83 is closer to 9

9.64 is closer to 10

10.198 is closer to 10

11.14 is closer to 11

5.74 is closer to 6

13.6 is closer to 14

14.66 is closer to 15

find the value of x and y

Answers

x = 60y = 60

x° + 2y° = 180°   ⇒   2y° = 180° - x°

x° = 60°   {three sides of the same lengh, means three angles=60°}

2y° = 180° - 60°

2y° = 120°

y° = 60°

Can somebody plz help answer these questions CORRECTLY thanks!!
(Only if u know how to do it)

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD

Answers

Answer:

a)72% b)75%

Step-by-step explanation:

I’m not really sure bout a. If it changed to 50, I kept the amount she answered correct but out of 50-(36/50) to get the percent. b) is the 36 she got correct out of the 48 she tried to do-36/48 x 100

How does the sketch of a graph of function help describe its behavior

Answers

Answer:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

what's the slope for this, I really need help, like a lot,

Answers

Answer:

It would be 3/3

Step-by-step explanation:

it is over 3 and up 3 if you are trying to get 3\4 go up 1

Gianna wants to buy holiday presents for her family. At the holiday sale, every ornament is $3 and every stocking is $8. Although there will be 24 people at holiday dinner, she wants to buy more just in case someone brings a guest. She has allotted $200 for gifts. Write a system of linear inequalities to represent the situation

Answers

9514 1404 393

Answer:

o + s > 243o +8s ≤ 200

Step-by-step explanation:

Let o and s represent the numbers of ornaments and stockings, respectively.

  o + s > 24 . . . . . . the total of gifts is more than 24

  3o +8s ≤ 200 . . . the maximum budget is $200

8. What is the annual salary for someone who earns a biweekly salary
of $863.00?

Answers

Answer:

approximately $22438

Explanation:

If this is wrong which im pretty sure it isnt, im sorry :)

Answer: Annual Salary = $22,438

===================================================

Work Shown:

biweekly means every 2 weeks

There are roughly 52 weeks in a year, so there are 52/2 = 26 biweekly paychecks over the course of the full year.

So the annual salary is 26*863.00 = 22,438 dollars.

9. Jeremy receives a base salary of $25,000 plus 5% commission on his sales. Jeremy received a total salary of
$45,000 last year. How much were his total sales?
a. $20,000
b. $70,000
c. $400,000
d $900,000

Answers

Answer:

c. $400,000

Step-by-step explanation:

Let his total sales be $x.

Salary + commission =$45000

[tex] \therefore \: 25000 + 5 \% \: of \: x = 45000 \\ \\ \frac{5}{100} x = 45000 - 25000 \\ \\ \frac{1}{20}x = 20000 \\ \\ x = 20 \times 20000 \\ \\ x = \$\:400, 000[/tex]

Prove This :

sin(A+B)+sin(A−B)=2sinA⋅cosB​

Answers

Answer:

We know

sin (A + B) = sin A cos B + cos A sin B

sin (A - B) = sin A cos B - cos A sin B

(A + B) + sin (A - B)

= sin A cos B + cos A sin B + sin A cos B - cos A sin B

= sin A cos B + sin A cos B

= 2 sin A cos B

After subtracting 2x from each side, the resulting equation is shown below:
2x+4y=8
4y=-2x+8
the final step to solve for y would be to what?

Answers

divide both sides of the equation by 4= y=-2x/4 + 2

31. Each small square on the grid below is 3cm by 3cm. What is the area of
the shape drawn on the grid?

Answers

3x3= 9 which is area of 1 square

In the shape there is total of 11 squares

So 9x11= 99
The answer is 99

Hope
This helps

3/4 x 2 2/3 please answer quick am running out of timr

Answers

Answer:

2 I think

Step-by-step explanation:

David uses ¼ cup of apple juice for every ½ cup of carrot juice to make a fruit drink.

How many cups of apple juice does David use for 2 cup of
carrot juice?

Answers

Answer:

1

Step-by-step explanation:

1/4 every 1/2

so 1/2 every 1 cup

so 1 every 2 cups

Mr. and Mrs. Preston and their two children are very excited about their upcoming
vacation. The Preston family is leaving early in the morning to drive to Florida. It will take
two days to drive to Florida. The family will have to stay one night in a hotel. Mr. and
Mrs. Preston want to spend as little money as possible for the hotel room. Mr. Preston
uses the information below and rounding to estimate which hotel offers the best deal.
Which hotel offers the best deal for the Preston family to stay? Show all your

Answers

Answer:

They will spend less at the sunny side hotel

Step-by-step explanation:

The attachment completes the question.

From the question, we understand that there are 4 individuals involved.

Mr. Preston (1)Mrs. Preston (1)The children (2)

And they will spend one night

First, we need to calculate the expenses in Traveler's hotel.

[tex]Rate = \$107.10[/tex] (for 3 people)

[tex]Additional\ Person = \$21.55[/tex] (for 1 person)

[tex]Breakfast = \$8.75 * 4[/tex] (for 4 people)

[tex]Tax = \$16.85[/tex]

Total Expenses

[tex]Total = \$107.10 + \$21.55 + \$8.75* 4 + \$16.85[/tex]

[tex]Total = \$107.10 + \$21.55 + \$35.00 + \$16.85[/tex]

[tex]Total = \$108.50[/tex]

For Sunny Side hotel:

[tex]Rate = \$152.95[/tex] (for 4 people)

[tex]Tax = \$21.34[/tex]

Total Expenses:

[tex]Total = \$152.95 + \$21.34[/tex]

[tex]Total = \$174.29[/tex]

By comparison, they will spend less at the sunny side hotel.

What is a equivalent fraction to 8/15 using the denominator 15

Answers

Answer:

15/22

Step-by-step explanation:

Abba grew 1 foot over the past year . He is now 5 feet tall. Draw a bar model to compare abba's previous height to the amount he grew over the past year

Answers

Answer:

Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year

Step-by-step explanation:

A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions

The height by which Abba grew over the past 1 year = 1 ft.

Abba's current height = 5 feet

Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet

Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio

Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 \text{ km}3 km3, start text, space, k, m, end text, his elevation is 120 \text{ m}120 m120, start text, space, m, end text.

Answers

Answer:

The answer is "3 km ".

Step-by-step explanation:

Distance in (km): [tex]3 \to 1[/tex]

Elevation value in (m):  [tex]120 \to 40[/tex]

[tex]\to \frac{3}{1} = 3 \ km \\\\\to \frac{120}{40} =\frac{12}{4} = 3 \ km[/tex]

Answer:

A..

Step-by-step explanation:

khan acadmey says so

Pens cost 43p and booklets cost £1.85 How much change will I get from £10 if I buy 3 pens and 4 booklets

Answers

Answer:

Step-by-step explanation:

lets see how much will cost 3 pens

3*.43=1.29

booklets

1.85*4=7.4

total

7.40+1.29=8.69

10-8.69=1.31

20 kilograms to pounds

Answers

Answer:

44.0925 pounds

Step-by-step explanation:

44.092 lbs
hope this helps ! :)

Help me please !!!!!!

Answers

Answer:

z = -44

Step-by-step explanation:

3/4 (x - 8) = 4

3(x - 8) = 16

3x - 24 = 16

3x = 40

x = 40/3

4 - 2x = -5x - z

4 = -3x - z

z = -3x - 4

z = -3(40/3) - 4

z = -40 - 4

z = -44

Answer:

Z=-44

Step-by-step explanation:

To figure out z. we have to figure out x first

So

3/4(x-8)=4

x-8=4÷3/4

x-8=4×4/3

x-8=16/3

3x-24=16

3x=16+24

3x=40

x=40/3

Now

4-2(40/3)=-5(40/3)-z

4-80/3=-200/3-z

z-68/3=-200/3

z=-200/3+68/3

z=-44

this is a sat practice. need help

Answers

Answer:

The answer is A) -1 + 12i

Step-by-step explanation:

(7 + 3i) + (-8 + 9i)

(7 - 8) + (3 + 9)i

7 - 8 = - 1

3 + 9 = 12

- 1 + 12

So you would have

(7+3i)+(-8+9i)

You go ahead and rewrite it like this

7-8+3i+9i

And then combine like terms

-1+12i

So your answer is A

Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?

Answers

Answer:

[tex]A_4[/tex]

Step-by-step explanation:

The cost of the e-readers and the subscription of their services are

[tex]A_1(t)=5t+350[/tex]

[tex]A_2(t)=10t+250[/tex]

[tex]A_3(t)=499[/tex]

[tex]A_4(t)=15t+179[/tex]

The functions are of the form

[tex]A(t)=mt+c[/tex]

Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.

So, 15 dollars is the highest subscription cost which is of the 4th e-reader.

Hence [tex]A_4[/tex] has the highest subscription cost.

Which of the following graph's represent the inequality y<2x+7 ?

Answers

Answer:

graph a

Step-by-step explanation:

2*0 = 0

0+7 = 7

0<7; it is a solution

Simplify: (6-91)-(2-31)​

Answers

Answer:

-56

Step-by-step explanation:

6-91=

-85

2-31=

-29

-85--29=

-56

Answer:

-56

Step-by-step explanation:

If a box 100 tea bags cost $4.52 how much does one tea bag cost? (please show work)

Answers

Answer:

$0.0452

Step-by-step explanation:

100 tea bags coat $4.52

1 " " " 4.52/100

$ 0.0452

Given: \overline{BD} \cong \overline{BE}, BD ≅ BE , \overline{DE} DE bisects \overline{AB} AB and \overline{DE} DE bisects \overline{BC}. BC . Prove: \overline{AB} \cong \overline{BC} AB ≅ BC .

Answers

Given:

[tex]\overline{BD} \cong \overline{BE}[/tex]

DE bisects [tex]\overline{AB}[/tex].

DE bisects [tex]\overline{BC}[/tex].

To prove:

[tex]\overline{AB} \cong \overline{BC}[/tex]

Proof:

DE bisects [tex]\overline{AB}[/tex]

Then, [tex]AD=BD[/tex].         ...(i)

DE bisects [tex]\overline{BC}[/tex].

Then, [tex]BE=CE[/tex].           ...(ii)

We have,

[tex]\overline{BD} \cong \overline{BE}[/tex]        ...(iii)

Using (i), (ii) and (iii), we get

[tex]\overline{AD} \cong \overline{CE}[/tex]         ...(iv)

Adding (iii) and (iv), we get

[tex]\overline{BD}+\overline{AD} \cong \overline{BE}+\overline{CE}[/tex]

[tex]\overline{AB} \cong \overline{BC}[/tex]

Hence proved.

please answer will mark brainlyist

Answers

Answer:

A. I

B.R

C.R

D.R

E.I

Step-by-step explanation:

I= Irrational

R=Rational

Answer:

1) irrational

2) rational

3) rational

4) rational

5) irrational

Step-by-step explanation:

hope this helps!

if its right, plz mark me brainliest!

The perimeter of a rectangle is 100 and its length is x. What expression represents the width of the
rectangle?

Answers

100*x I think I’m sorry that’s a poor answer I have done this in years

Expand these expressions.
−(−x − 7)​

Answers

+7 should be the answer to that

It is an unlike term

Step-by-step explanation:

hope this helps you

Other Questions
Grout Company reports assets with a carrying value of $420,000 (including goodwill with a carrying value of $35,000) assigned to an identifiable reporting unit purchased at the end of the prior year. The fair value of the net assets held by the reporting unit is currently $350,000, and the fair value of the reporting unit is $395,000. At the end of the current period, Grout should report goodwill of $25,000. $10,000. $35,000. $45,000. the marked price of a radio is Rs 960 and the shopkeeper allows 10percent discount calculate the discount amount how much should a customer pay for it THIS IS THE LAST TIME I POST THIS QUESTION SO PLEASE JUST ANSWER IT AND IF YOU HAVE A QUESTION THEN PUT IT ON THE COMMENTS NOT THE ANSWER find the magnitude and direction in degrees of the vector v=6i+2 seq31 f(x)=-2x^2+6x+1find F(-6) multiple choice:/for geometry:( - x + 3y = 8Y = 2 - xsolve for the system of equations Can someone please answer please Please Help! I will give brainliest! -5 times what = 25.... Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.No money was deposited into or withdrawn from the account.What was the annual interest rate?Enter your answer in the box. Can someone plss help me fill out this Taxonomic Key please 1) Which polynomial identity would you use to factor the given expression? *1-125n^3Answers 1 Difference of Squares 2 Perfect Square 3 Difference of Cubes 4 Sum of Cubes Is "going to Mount Rushmore" a primary or secondary source? What is the equation of the line in point-slope form? 6. Which of the following can best be described as invective!a. positive, encouraging languageb. negative, aggressive languageC. neutral, objective languaged. stirring, patriotic language The following statements are usually found in reviewing literature for a study. Which is the odd one out?Select one:a. There are some research conducted in the area of....b. Past literature is replete with studies on...c. Substantial literature has grown up around the topic of... I need help with this question Which of the following is an example of progress toward globalization?A. The InternetB. Affordable travelC. The foods and products of particular cultures availableeverywhereD. All of the above