which line is parallel to the line whose equation is 4x+3y=7 and also passes through the point (-5,2)?

Answers

Answer 1

Final answer:

The line that is parallel to 4x+3y=7 and passes through (-5,2) has the equation y=(-4/3)x-14/3.

Explanation:

The line that is parallel to the line with the equation 4x+3y=7 and passes through the point (-5,2) will have the same slope as the given line. To find the slope, we need to rearrange the equation into slope-intercept form (y=mx+b), where m is the slope. In this case, we get 3y=-4x+7, which can be simplified to y=-(4/3)x+7/3. So the slope is -4/3.

Now that we know the slope, we can use the point-slope formula y-y1=m(x-x1) to find the equation of the line that passes through (-5,2).

Using y-2=(-4/3)(x-(-5)), we can simplify to y-2=(-4/3)(x+5). Expanding and rearranging, we get y=(-4/3)x-14/3.

Answer 2

The equation of the parallel line is: [tex]\[\boxed{4x + 3y = -14}\][/tex]

To find the equation of a line parallel to the given line 4x + 3y = 7 and passing through the point (-5, 2), follow these steps:

1. Determine the slope of the given line:

The given line's equation is in standard form: Ax + By = C. To find its slope, we can rewrite it in slope-intercept form y = mx + b, where m is the slope.

Starting with the given equation:

4x + 3y = 7

Solve for y:

[tex]\[3y = -4x + 7\]\[y = -\frac{4}{3}x + \frac{7}{3}\][/tex]

The slope m of the given line is [tex]\(-\frac{4}{3}\).[/tex]

2. Use the slope of the parallel line:

Since parallel lines have the same slope, the line we are looking for also has a slope of [tex]\(-\frac{4}{3}\).[/tex]

3. Use the point-slope form to find the equation of the new line:

The point-slope form of a line's equation is given by:

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

where [tex]\((x_1, y_1)\)[/tex] is a point on the line, and m is the slope.

Here, the point (-5, 2) and slope [tex]\(m = -\frac{4}{3}\):[/tex]

[tex]\(-\frac{4}{3}\).[/tex]

[tex]\[y - 2 = -\frac{4}{3}(x + 5)\][/tex]

Simplify the equation:

[tex]\[y - 2 = -\frac{4}{3}x - \frac{4}{3} \cdot 5\]\[y - 2 = -\frac{4}{3}x - \frac{20}{3}\][/tex]

Add 2 (or [tex]\(\frac{6}{3}\))[/tex] to both sides:

[tex]\[y = -\frac{4}{3}x - \frac{20}{3} + \frac{6}{3}\]\[y = -\frac{4}{3}x - \frac{14}{3}\][/tex]

The equation of the line parallel to 4x + 3y = 7 and passing through (-5, 2) is:

[tex]\[y = -\frac{4}{3}x - \frac{14}{3}\][/tex]

Converting back to standard form for consistency:

[tex]\[3y = -4x - 14\]\[4x + 3y = -14\][/tex]

Therefore, the equation of the parallel line is:

[tex]\[\boxed{4x + 3y = -14}\][/tex]


Related Questions

Help me 15 points on the line
How many fractions are there between any two numbers on a number line?

A.5
B.20
C.100
D.an infinite number

Answers

Answer:

There are an infinite number of fractions in between numbers on a number line.

Step-by-step explanation:

The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.

Answer:

Infinite number

Step-by-step explanation:

measure equivalent to 5 meters

Answers

Answer:

since no one got the point on 2018 i will be getting it thxxxx

Step-by-step explanation:

(4x+2)(3x-7) solve for x and who ever gets it get the brainly crown

Answers

The answer is

=12x^2 - 22x - 14


Which is the correct classification and decimal expansion of 5/8

Answers

5/8 to decimal= .625

Hope this helps!

rational number can be represented by a fraction with an integer numerator and integer denominator. An irrational number cannot.

0.625 = 625/1000 so it is rational.

hope this helps!

PLEASE HELP ME WITH THESE FOUR QUESTIONS TYSMMM!!! THANK YOU

Find the value of x that makes m || n

Answers

Answer:

[tex]107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ[/tex]

Step-by-step explanation:

9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:

[tex]x+73^\circ=180^\circ[/tex]

[tex]x=107^\circ[/tex]

10. For the lines  'm' and 'n' to be parallel the alternate exterior angles should be equal that is:

[tex]147^\circ=x+14^\circ[/tex]

[tex]x=147^\circ-14^\circ[/tex]

[tex]x=133^\circ[/tex]

11. For the lines  'm' and 'n' to be parallel alternate angles should be equal that is:

[tex]180^\circ-3x=2x+20^\circ[/tex]

Solving for 'x' we get:

[tex]180^\circ-20^\circ=3x+2x[/tex]

[tex]5x=160^\circ[/tex]

[tex]x=32^\circ[/tex]

12. For the lines  'm' and 'n' to be parallel corresponding angles should be equal that is:

[tex](7x-11)^\circ=(4x+58)^\circ[/tex]

[tex]7x-4x=58^\circ+11^\circ[/tex]

[tex]3x=69^\circ[/tex]

[tex]x=\frac{69}{3}=23^\circ[/tex]

The length of a rectangle is three times it’s width. It’s area is 75 inches squared. Find the length and width of the rectangle

Answers

The answer is 225 because 75x3 =225



Final answer:

The length of the rectangle is 15 inches and the width is 5 inches, determined by setting up an equation using the given conditions that the area is 75 square inches and the length is three times the width.

Explanation:

The question asks us to find the length and width of a rectangle given that the length is three times the width and the area of the rectangle is 75 square inches. To solve this, let's denote the width of the rectangle as w inches. The length would then be 3w inches since it is three times the width. The area of a rectangle is found by multiplying the length and width, so we can write the equation:

Area = length × width

75 = 3w × w

To find the width (w), we need to solve the quadratic equation:

w² × 3 = 75

w² = 75 / 3

w² = 25

To find w, we take the square root of 25, which gives us:

w = 5 inches

Now that we have the width, we can easily find the length by multiplying the width by 3:

Length = 3 × 5

Length = 15 inches

Therefore, the width of the rectangle is 5 inches and the length is 15 inches.

mr ramos thumb measures 4 cm. Express this length in meters

Answers

Hello There!

Mr. Ramos thumb measures 0 meters. 100cm=1m

Hello! The answer would be 0.04 meters. You find this by doing so.
100cm=1m
4cm=?
100/4=25, 1/25=0.04. Remember, what you do to one side, you do to the other.

there are 500 sheets of paper in a book. Each sheet is 0.01 cm thick. The book's front and back cover are each 0.1 cm thick. what is the total thickness of the book and its cover?

Answers

500*0.01+0.1*2=

5+0.1*2=

5+0.2=

5.2 cm thick.

I hope this helped!

The total thickness of the book, including its front and back covers, is calculated to be 5.2 cm.

The question asks for the total thickness of a book including its covers. The calculation combines the thickness of 500 sheets of paper and the front and back covers. Here is a step-by-step breakdown:

Thickness of one sheet: 0.01 cm

Total thickness of all sheets: 500 sheets  imes 0.01 cm/sheet = 5 cm

Thickness of one cover: 0.1 cm

Total thickness of both covers: 2 covers  imes 0.1 cm/cover = 0.2 cm

Total book thickness: 5 cm (sheets) + 0.2 cm (covers) = 5.2 cm

Therefore, the total thickness of the book with its covers is 5.2 cm.

what is the prime factorization of 54

Answers

Hello there!

This question is so super easy to me.

Explanation:

↓↓↓↓↓↓↓↓↓

First you had to find prime factorization of 54.

[tex]2*3*3*3=54[/tex]

Then you can also written with exponents.

[tex]2*3^3[/tex]

You can also used factors of 54.

Factors of 1, 2, 3, 6, 9, 18, 27, 54

Answer⇒⇒⇒⇒⇒[tex]2*3^3[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

The prime factorization of 54 is [tex]2 \times 3^3[/tex].

Given that,

The number is 54.We have to find out the prime factorization of the above number.

Based on the above information, the calculation is as follows:

The prime factorization of 54 is

=  [tex]2 \times 3^3[/tex].

Learn more: brainly.com/question/6201432

Which statement about the equation is true? x + 2 = x + 4
A.The equation has no solution.
B.The equation has one solution.
C.The equation has infinitely many solutions.

Answers

No solution because you can’t even out both sides

Answer:

The answer would be UNSOLVABLE

this is true because there is no way they can equal the same number

Hope this helped:)

Step-by-step explanation:


ratios are great am I right

Answers

Answer:

3)198

4)3:4

Step-by-step explanation:

3)

144/8= 18

3*18=  54

144+54= 188

4)

18/2=9

9*3=27

27-3=24

18:24 = 3:4

Find 3 consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the largest number

Answers

Let consecutive odd numbers be  

x , x+2 , x+4

Smallest number =x

Middle number =x+2

Largest number =x+4

According to condition (x) +(x+2) -27 = 3(x+4)

                                      x+x+2-27= 3(x+4)

                                      2x-25= 3x+12

Subtracting 2x and 12 both sides

                                   2x-25-2x-12=3x+12-2x-12

                                     -37= x   this is smallest odd number.

Other two odd numbers are (x+2)= (-37+2)=(-35)

                             &                (x+4)=(-37+4)=(-33)

so three consecutive odd numbers are -37 ,-35 , -33


show work please or explain.

Answers

1340 units²

There are 2 rectangles 25 × 12, 2 rectangles 25 × 10 and 2 rectangles 12 × 10

SA = 2(25 × 12) + 2(25 × 10) +2(12 × 10)

     = 600 + 500 + 240 = 1340 units²


the water was pumped out of a backyard pond.what is the domain this graph?

Answers

Answer:

C) Real numbers from 0 to 8.

Step-by-step explanation:

We have been given a graph between depth (dependent variable) and time (independent variable). We need to figure out the domain of the given graph.

We know that domain is the set of values of independent variable for which the graph produces a finite value of dependent variable.

From the graph, we can see that for values of time between 0 and 8 minutes, the graph produces a finite value of depth. Therefore, domain of the given graph is all real numbers between 0 and 8 (inclusive).

what is the solution for 4x-9=3.5x-9?

Answers

Answer:

31.5

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

Two sides of a rectangular fence are 5 5/8 feet long. The other two sides are 6 1/4 feet long. What is the perimeter?

Answers

Answer:

If two sides are 5 5/8 and the other two sides are 6 1/4 if we're looking for perimeter we have all of our data and just need to add.

6 1/4 (6 2/8) + 5 5/8 = 11 7/8 <--

Leave a thanks if this helped. Thanks.

What is the lowest common denominator for 2/6and3/4

Answers

lowest common denominator for 2/6 is 2 making your fraction 1/3
lowest common denominator for 3/4 is 1 making your fraction 3/4

The lowest common denominator would be 12

other words [tex]\frac{4}{12}[/tex] and [tex]\frac{9}{12}[/tex]

to find the lowest common denominator, you need to compare the multiplication product each number can get.

Find the value of x that will make L||M.
Please help me on this!!!! I need this done ASAP!!!!

Answers

The two given angles are Supplementary angles and when added together need to equal 180 degrees.


2x +5 + x-5 = 180

Simplify ( Combine like terms):

3x = 180

Divide both sides by 3:

x = 180 / 3

x = 60

20 POINTS

Which answer best describes the complex zeros of the polynomial function?

f(x) = x^3 + x^2 − 8x − 8


(A) The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.

(B) The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two locations.

(C) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

(D) The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one location.

Answers

answer : option C

[tex]f(x) = x^3 + x^2 - 8x - 8[/tex]

Lets find the number of zeros by factoring

[tex]0 = x^3 + x^2 - 8x - 8[/tex]

Group first two terms and last two terms

[tex]0 = (x^3 + x^2) (- 8x - 8)[/tex]

Factor out GCF from each group

[tex]0 = x^2(x + 1)-8(x + 1)[/tex]

[tex]0 = (x^2-8)(x + 1)[/tex]

Now we set each factor =0 and solve for x

0 = (x^2-8)             and   (x + 1)=0

[tex]x^2 = 8[/tex]            and x = -1

[tex]x= 2+-\sqrt{2}[/tex]     and x= -1

So we have three real zeros

The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

a ratio of two equivalent measures giving in different units is a ________

Answers

Answer:

"conversion factor"

Step-by-step explanation:


Answer:

Conversion factor.

Step-by-step explanation:

A conversion factor may be a ratio of two proportionate measures in completely different units.

Why did the scientist create an exact duplicate of himself

Answers

To do his work that he didn't want to do.


how to solve these

1. 8/2 * 6

2. 5/2 * 7

3. 7/2 * 1

Answers

1. 8/2 * 6

We multiply the numerator with the whole number and then simplify the fraction.

8 *6 = 48. then divide by 2 gives us 24

[tex]\frac{8}{2} * 6= \frac{48}{2}=24[/tex]

2. 5/2 * 7

We multiply the numerator with the whole number and then simplify the fraction.

5 times 7 = 35

[tex]\frac{5}{2} * 7= \frac{35}{2}[/tex]

3. 7/2 * 1

We multiply the numerator with the whole number and then simplify the fraction.

7 times 1 =7

[tex]\frac{7}{2} * 1= \frac{7}{2}[/tex]


Answer:Part 1.

Question 1. 8/2 * 6

Solution:

8/2 * 6 = 48/2 = 24

                                            Answer of question 1 is 24.

Part 2.

Question 2.  5/2 * 7

Solution:

5/2 * 7 = 35/2 = 17.5

                                            Answer of question 2 is 17.5.

Part 3.

Question 3. 7/2 * 1

Solution:

7/2 * 1 = 7/2 = 3.5

                                          Answer of question 3 is 3.5.


I need help on this question

Answers

Because they were flipped and turned

Because they were flipped and turned

Q(x)=4x^2-1 find Q(-7)

Answers


[tex]q( - 7) = 4x {}^{2} - 1[/tex]
so
[tex]4( - 7) {}^{2} - 1[/tex]
195

[tex]Solution, \mathrm{Isolate}\:x\:\mathrm{for}\:If\left(I,\:x\right)Q\left(x\right)=4x^2-1:\quad x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]

[tex]Steps: If\left(I,\:x\right)Q\left(x\right)=4x^2-1[/tex]

[tex]\mathrm{Switch\:sides}, 4x^2-1=If\left(I,\:x\right)Q\left(x\right)[/tex]

[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}, 4x^2-1+1=If\left(I,\:x\right)Q\left(x\right)+1[/tex]

[tex]\mathrm{Simplify}, 4x^2=If\left(I,\:x\right)Q\left(x\right)+1[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4, \frac{4x^2}{4}=\frac{If\left(I,\:x\right)Q\left(x\right)}{4}+\frac{1}{4}[/tex]

[tex]\mathrm{Simplify}, x^2=\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}, x=\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\:x=-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]

The correct answer is [tex]x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]

Solve (-16.1)•9.4•(-7.2)=x•(-7.2)•(-16.1)

Answers

Hey there! :)

Answer: x = 9.4

Step-by-step explanation : How do we know this? Well, let's first rewrite our question.

(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)

Let's multiply everything out.

(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)

Simplify.

1089.648 = 115.92x

Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92

Simplify.

9.4 = x

So, our final answer is x = 9.4

~hope I helped!~

Answer: x = 9.4

Step-by-step explanation : How do we know this? Well, let's first rewrite our question.

(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)

Let's multiply everything out.

(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)

Simplify.

1089.648 = 115.92x

Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92

Simplify.

9.4 = x

So, our final answer is x = 9.4

~hope I helped!~

if you borrow $5,000 to remodel a home at 5% interest rate, what is the principal?
$5,000
$5
$5,250
5%

Answers

you would end up paying $4,750

but the answer is A) $5000

mark brainliest please it would help alot

:)

Answer:

The principal would be $ 5000.

Step-by-step explanation:

Since, the principal is the initial amount of a loan or we can say that the borrowed amount is called principal amount of a loan,

Given,

$5,000 was borrowed to remodel a home at 5% interest rate,

Thus, the borrowed amount = $ 5000

⇒ Principal amount = $ 5000

Hence, first option is correct.

Show your work and solve

Answers

Hello again,

You multiply 53 beats to 5 seconds: 53 x 5 = 265

hope that helps :)

Is this correct??please tell me

Answers

7(4n-6)= - 182

28n-42= -182

       +42   +42

28n/28= -140/28

n= -5

This is incorrect, 7x4n=28n and -7x6=-42. There is no way to get -182.

HELP ASAP I WILL GIV YOU BRAINLIST! Jim ran 200 meters in 30.4 seconds. Mac ran 100 meters in 30.4 seconds. Who ran faster?

Answers

You would want to look for who ran the longest distance in the shortest amount of time,  Jim ran 200 meters in the same amount of time it took Mac to.  Therefore, Jim is faster for that reason.

Answer,

Jim ran faster


-Laura


all numbers that have 9 as a factor also have 2 as a factor ?
True or False

Answers

False
For example factors of the number 9:
1, 3, 9
9 has 9 as a factor but not 2
False.

Numbers with factors of 9:

18, 27, 36, 45, 54, 63, 72, 81

18, 36, 54 and 72 may have factors of 2, but the other do not.

This means that not all numbers with 9 as a factor will also have 2 as a factor.

Other Questions
Which two parts the excerpt from Christopher Marlowes The Tragical History of Doctor Faustus bring out the theme of forbidden knowledge? Which type of drug increases the activity of the body's nervous system? How long will it take you to drive 120 miles at a speed of 15 per hours Which of the words in the sentence is an adjective? They were happy to see us. Which graph represents the inequality y > 3 x ? Soluble ionic compounds that dissociate naerly completely when dissolved are classified as _______.A. Weak electrolytesB. InsolubleC. Dilute compoundsD. Strong electrolytes I NEED HELP WITH #36 I need help on number 2 zoe watched 6 episodes of her favorite online video series in 1.5 hours. she spent the same amount of time watching each episode. what is the unit rate of hours to episodes Does anyone know these? Which one of this is the right answer An isosceles triangle has an angle that measures 80. Which other angles could be in that isosceles triangle? Choose all that apply a restaurant owner bought 6 boxes of disposable cups for $81 with each box containing 3741 cups if he wanted to divvy up the Cups among his 3 restaurants with with each restaurant getting the same number of cups how many cups of each do I get In Antoine Lavoisiers classic experiment, mercuric oxide is heated in a sealed container. The solid red powder is changed into two products: silver liquid mercury and oxygen gas. If Lavoisier heated 100 grams of powdered mercuric oxide to produce 93 grams of liquid mercury, how much oxygen would be released? A)7 grams B)16 grams Reactivate C)32 grams D)93 grams Which hazards made it difficult for people to escape the fire? PLEASE HALP ASAP!!!!!1) Which of these is a chemical property of a substance? 1-reactivity 2-color3-boiling point4-melting point2) Which of these is true of a chemical reaction?1-Energy is always transferred from reactants to products.2-Energy is always transferred from reactants to reactants3-Energy is transferred between products and reactants.4-Energy is not transfered.3) Which of these is an example of physical change?1-melting a substance2-breaking chemical bonds3-forming chemical bonds4-nuclear decay4) Which of these is an example of a chemical change? 1-cutting bread2-spreading peanut butter3-digesting a sandwich4-stirring jelly5) Which of these is an example of a physical change? 1-gasoline burning2-metal denting3-iron rusting4-silver tarnishing You have invested in three different stocks: Engineering Aces, Upton Clothiers, and Thompson Musical Instruments. Because you have diversified your stocks so well, the way they change is independent. The probabilities of the stocks changing in value by more than 10% in a given week are listed below.P(E) = 19%P(U) = 11%P(T) = 6%What is the probability that all three will change by more than 10% in the same week? In an ecosystem, organisms compete for different resources. Intraspecific competition occurs when theres competition for resources between members of the same species. What do you think the word interspecific refers to? Give an example with your explanation. Struggling with an assignment that requires finding the probability of compound events. Can anyone please explain how to find it? Thank you! Explain why the presence of large amounts of organic matter alone does not results in fertile soil