Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4).
Give your answer in the form y = mx + b.

Answers

Answer 1

Given:

The equation of a line is:

[tex]y=5x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=5x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=5(x-3)[/tex]

[tex]y+4=5(x)+5(-3)[/tex]

[tex]y+4=5x-15[/tex]

Subtracting 4 from both sides, we get

[tex]y+4-4=5x-15-4[/tex]

[tex]y=5x-19[/tex]

Therefore, the equation of the required line is [tex]y=5x-19[/tex].


Related Questions

Does the set of numbers form a Pythagorean triple? Explain.

Answers

Explanation:

Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.

Joshua wants to buy a flat-screen TV that’s costs $625.he save $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?

Answers

Answer:

in 10 weeks because if you multiply 62.50 10 times you get 625

Answer:

The answer is 10

I hope this helps

Divide the product of 11 1/5 and 47 by the difference of 6/45 and 1/10

Answers

(11 1/5•47) / (6/45-1/10)
526.4 / 0.03333
= 15,793.57935793579

steve earns extra money babysitting , he charges $27.00 for 4 hours and $47.25 for 7 hours. enter an equation to represent the relationship . let x represent the numbers of hours Steve babysits and y represent the amount he charges

Answers

Answer:

y=6.75x

Step-by-step explanation:

he xharges 6.75 per hour, so 6.75x equals the total price, y

CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

8 5/18

Step-by-step explanation:

3 5/6 + 4 4/9

Get a common denominator of 18

3 5/6*3/3 = 3 15/18

4 4/9 * 2/2 = 4 8/18

3 15/18 + 4 8/18

7 23/18

7 + 18/18 + 5/18

7+1+5/18

8 5/18

Answer:

[tex]8\frac{5}{18}[/tex]

Step-by-step explanation:

[tex]3\frac{5}{6} +4\frac{4}{9}[/tex]

6 = 2 × 3

9 = 3 × 3

LCM of 6 and 9

LCM = 2 × 3 × 3

LCM = 18

[tex]3\frac{15}{18} +4\frac{8}{18}[/tex]

[tex](3+4)+(\frac{15}{18} +\frac{8}{18})[/tex]

[tex]7+\frac{15+8}{18}[/tex]

[tex]7+\frac{23}{18}[/tex]

[tex]7+1\frac{5}{18}[/tex]

[tex]8\frac{5}{18}[/tex]

Prove that root 2 as irrational number​

Answers

To prove: √2 is an irrational number. Proof: Let us assume that √2 is a rational number. So it can be expressed in the form p/q where p, q are co-prime integers and q≠0. √2 = p/q. ...
Solving. √2 = p/q. On squaring both the side we get, =>2 = (p/q)2

I would like to see the answer for number one. You don't need to solve the rest.

Answers

Answer:3/4

Step-by-step explanation:

tan^2+1=sec^2

PLSSSS HELP fast pls !!

Answers

Answer:

16p^2 - 9

Step-by-step explanation:

Use FOIL method of multiplication

Which of the following sets of numbers could not represent the three sides of a right triangle?

Answers

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

Answer:

option b

Step-by-step explanation:

according to the pythagoras theorem to be right angled triangle the sum of square of two smaller sides must be equal to the square of hypotenuse.

so ,

20 and 21 are smaller sides and hypotenuse be 29

pythagoras theorem

a^2 + b^2 = c^2

20^2 + 21^2 = 29^2

400 + 441 = 841

841 = 841  (since both sides are equal it forms right angled triangle)

25 and 32 are smaller sides and 40 be hypotenuse

a^2 + b^2 = c^2

25^2 + 32^2 = 40^2

625 + 1024 = 1600

1649 = 1600 (both sides are not equal so it does not form right angle triangle)

30 and 72 are smaller sides whereas 78 is hypotenuse

a^2 + b^2 = c^2

30^2 + 72^2 = 78^2

900 + 5184 = 6084

6084 = 6084 (since both sides are equal it forms right angled triangle )

32 and 60 are smaller sides and 68 is hypotenuse

a^2 + b^2 = c^2

32^2 + 60^2 = 68^2

1024 + 3600 = 4624

4624 = 4624  (since both sides are equal it forms right angled triangle )

Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20

Answers

Answer:

20

Step-by-step explanation:

lol

Answer:

20

Step-by-step explanation:

Find the solution to the system of equations x = -6 + 2y and x = 2y + 2.

Answers

x=-6+2y

x=2+2y

by subtraction

___________________________

x=-8

Substitute x by one of the two equations :

x=-6+2y

-8=-6+2y

2y=-8+6

2y=-2

y=-2/2

y=-1

I think this is the answer

I hope I helped you^_^

What else would need to be congruent to show that ABC= DEF by ASA?
B
E
10
10
45
A
с
45
F
O A. ZBE ZE
B. AC = DF
C. ZA ZD
O D. BC = EF

Answers

Answer:

Option A

then you would have an angle, a side and another angle (ASA) next to each other

Opt.B would be a second sude (SAS)

Opt.C is already given

Opt.D seems to be like (A-S-S). no pun intended.

The additional information need to be added to show the given triangles congruent is angle B = angle E

What are congruent triangles?

Triangles are said to be congruent if their corresponding sides and angles are congruent.

Given is a pair of triangles, Δ ABC and Δ DEF, in this angle A = angle D and AB = DE = 10,

We need to find one more reason to make them congruent by ASA rule,

In ASA rule of congruence, we have two corresponding angles congruent in the triangles and a side between them need to be congruent,

Here, the pair of two angles should be ∠ A and ∠ D and ∠ B and ∠ E, because the congruent sides AB and DE are in mid of them.

Hence, the additional information need to be added to show the given triangles congruent is angle B = angle E

Learn more about triangles congruent click;

https://brainly.com/question/22062407

#SPJ7

Which of following equations have a solution y = 8. A:4y + 3 = 32. B:6 + 5y = 46. C:9y ÷ 4 = 8. D:10y ÷ 4 = 20. E:65 - 3y = 27​

Answers

B
5y = 46 - 6 = 49
y = 40/5 = 8

Tính :
a) (a+b+c)^2
b) (a-b-c)^2
c) (a+b-c)^2
d) (a-b+c)^2

Answers

Answer:

a.) a² + b² + c ² + 2ab + 2ac + 2bc

b.) a² + b² + c² - 2ab - 2 ac + 2bc

c ) a² + b² + c² + 2ab - 2ac - 2bc

d.) a² + b² + c² - 2ab + 2ac - 2bc

Step-by-step explanation:

Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expression

a) ( a + b + c )²

= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc

= a² + b² + c ² + 2ab + 2ac + 2bc

b.) ( a - b - c )

= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)

= a² + b² + c² - 2ab - 2 ac + 2bc

c.) ( a + b - c )²

= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)

= a² + b² + c² + 2ab - 2ac - 2bc

d.) (a - b + c ) ²

= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)

= a² + b² + c² - 2ab + 2ac - 2bc

How many sides do 2 hexagons and 2 pentagons have in all?

Answers

Answer:

22 sides total

Step-by-step explanation:

a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.

[tex]2(6)+2(5)=\\12+10=22[/tex]

PLEASE HELP ME FOR 15 POINTS AND BRAINLIEST QUICK! thanks.

Answers

Answer:

cumulative frequency

1

8

25

45

58

62

Answers:

Cumulative frequencies from top to bottom:

1825455862

Other answers:

There are 62 golfers total mode = 72Median is between slots  31   and  32   Median = 72

Refer to the diagram below

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

Explanation:

In the first row, the frequency is 1, so that's the cumulative frequency for that row. It's the total frequency so far.

In the second row, the cumulative frequency is now 8 because we add the two frequencies so far (1+7 = 8)

The third row will have a cumulative frequency of 1+7+17 = 25.

The rest of the rows will follow this pattern to fill out the table. Refer to the diagram below to see the filled out table.

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

At the very end, you should get 62 golfers total (the cumulative frequency for the bottom row).

The mode score is the most frequent value. In this case, that's the score 72 since it shows up the most times (ie has the largest frequency).

Because we have n = 62 people total, the median is between slots n/2 = 62/2 = 31 and 32

Go back to the table and note how 25 is the cumulative frequency for the third row. Since 25 is smaller than 31 and 32, this means that the median cannot be in the first three rows. Instead, it's in the fourth row because the frequency 17 here is more than enough to get us from slot 25 to slots 31 and 32.

In other words, the values 72 and 72 are in slots 31 and 32. The midpoint of which is 72.

The median is therefore 72.

Side note: the mode and median aren't always the same value.

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 16, 24, blank. Triangle 2 has side lengths 12, 18, blank.
a.
StartFraction 12 Over 24 EndFraction = StartFraction 18 Over 16 EndFraction = StartFraction 1 Over 2 EndFraction
b.
StartFraction 12 Over 18 EndFraction = StartFraction 16 Over 24 EndFraction = StartFraction 2 Over 3 EndFraction
c.
StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction
d.
StartFraction 18 Over 12 EndFraction = StartFraction 24 Over 16 EndFraction = StartFraction 3 Over 2 EndFraction



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the correct answer is

C.

StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction

What are the more appropriate measures of center and spread for this data set?

Select two choices: one for the center and one for the spread.

A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)

Answers

Answer:

C. Better measure of center: the median

D. Better measure of spread: the Interquartile range

The function of f is defined by f(x)=x²-2x-24, find the range of f​

Answers

Answer:

[-25, ∞) , {y|y ≥ -25}

Step-by-step explanation:

^^^

the width of a rectangle is 2 inches less than its length , and the area is 35 sqaure inches. what are thd length and width of the rectangle

Answers

Answer:

length: 7in.

width: 5in.

Step-by-step explanation:

so we know that 7*5 is 35 yes? since we already know the area, which is just l*w, and that 5 is two less that 7, we can conclude that the length is 7 and the width 5

hope this helps! lemme know if you need more

What is the slope of the line? − 3 x + 5 y = 2 x + 3 y

Answers

Answer:

m=5/2

Step-by-step explanation:

just did

Please help thanks! Please put answer is square millimeters

Answers

Answer: 239

Step-by-step explanation:

3x7=21

(16+5)x16=336, 336/2=168

5x10=50

add them all together to get 239

hope this helps!

N is a number such that N ÷ 18= 16. What is the value of N?

Answers

Answer:

288 po

Step-by-step explanation:

288 divided by 18 is 16

Does 12, 24, 36 form a right triangle?

Answers

Answer:

no bc pythagorean

Step-by-step explanation:

find the volume of this cone. round to the nearest tenth. l=10 r-6

Answers

Answer:

376.8

Step-by-step explanation:

Formula Volume Cone = πr² * h/3

Volume = 3.14 * 36 * 3 1/3

Volume ≈ 376.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 301.6

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

answer above isn't right this is, trust me.

15 POINTS!!! Please please help out!!! If you can!! I have other things on my account worth a lot of points so if you can help out that would be so helpful

Answers

Answer:

The maximum is -3

and the third one -3<f(x)≤ -3

Step-by-step explanation:

Let's start by expanding the exponent

-(x+7)²= -(x²+14x+49)= -x²-14x-49

simplify

-x²-14x-49-3= -x²-14x-52

To find the maximum/minimum take the first derivative

-x²-14x-52= -2x-14

set this equal to 0

-2x-14= 0

x= -7

We then plug in x= -7 into the equation to find the y value

Because the coeficcent for the degree is negative (it's -1) this is a maximum

-(-7+7)²-3 = -3

Because -3 is the highest point the graph's range is -∞<f(x)< -3

Therefore the maximum i

Consider angle θ in Quadrant II, where cosθ=−12/13. What is the value of sinθ?

Answers

Answer:

The value of sin theta is 5/13

Step-by-step explanation:

In the second quadrant, sin is positive and cos is negative

Cos theta = -12/13 = adjacent/hypotenuse

Sin theta = opposite/hypotenuse

opposite = sqrt(hyp² - adj²) = sqrt (13² - 12²) = sqrt (169 - 144) = sqrt (25) = 5

Sin theta = opposite/hypotenuse = 5/13

9 2/5-3 4/10
yo anyone have the answer

Answers

Answer:

6

Step-by-step explanation:

9 and 2/5 is the equivilent to 9 and 4/10

9 4/10 - 3 4/10 = 6 0/10

identify the solution to the following system of equations: 2x + 5y = 14 and x + 2y = 5

Answers

Answer:

(-3, 4)

Step-by-step explanation:

yeah

Complete the proof. PROVE:△VWY≅△UXY

Answers

Answer:

D.) SAS or Side angle Side

osjdjaidbsojaanod

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