What is the equation of the line that passes through the points (4,-1 ) and (-7,4 )?

Answers

Answer 1

Answer:

[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]

Let the equation of line passes through the points A ( 4 , - 1 ) and B ( - 7 , 4 ) . Let A ( 4 , -1 ) be ( x₁ , y₁ ) & B ( - 7 , 4 ) be ( x₂ , y₂ )

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

Using two - point form of the equation of straight line , we have :

[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]

- Plug the values :

[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]

[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]

[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]

♕ Hence , 5x + 11y - 9 = 0 is the required equation of the line.

✺ The two most important days in your life are the day you are born and the day you find out why ! ♪

♡ Hope I helped! ツ

☪ Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁


Related Questions

From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.

Answers

Answer:

2 cm

Step-by-step explanation:

GEOMETRY/WILL MARK BRAINLIST
GOD BLESS WHAT IS THE ANSWER TO THIS?

Answers

Answer:

Option 1

Step-by-step explanation:

It's asking me to write 20 words so blah blah blah.

Solve graphically: 2x - y = 7 and x - 2y = 5.

Answers

Answer:

(3, - 1)

Step-by-step explanation:

We want to solve the system of equations:

2*x - y = 7

x - 2*y = 5

graphically.

To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:

y = -7 + 2*x

y = -(5/2) + x/2

Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.

Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.

Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)

You buy 11 bagels with a $20 bill. How much change do you receive?

Answers

Answer:

You would receive $13.75

Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

I hope this helps and makes sense to you. Please mark brainlist!

Step-by-step explanation:

Answer:

You would receive $13.75

Step-by-step explanation:

What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

Hope u understand

Please mark brainliest

Thank You

I'm so confused pls help

Answers

Answer:

Step-by-step explanation:

 Slope = 3.200/2.000 = 1.600

 x-intercept = 5/8 = 0.62500

 y-intercept = 5/-5 = 1/-1 = -1.00000

Solve for xxx. Enter the solutions from least to greatest. (x -7)(-4x -2)=0(x−7)(−4x−2)=0left parenthesis, x, minus, 7, right parenthesis, left parenthesis, minus, 4, x, minus, 2, right parenthesis, equals, 0

Answers

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

What is a formula for the nth term of the given sequence? 300, 180, 108...

Answers

Answer:

Step-by-step explanation:

The common ratio of the terms is 0.6 (180/300=6/10;108/180=6/10). This is a geometric sequence .

nth term=500(0.6)^n-1

What is 150 mm in metres (m)?
A.0.015
B.0.15
C.1.5
D.15

Answers

Answer:

.15 meters

Step-by-step explanation:

answer is B

Step-by-step explanation:

150 mm is 0.15 metres

Graph the system of linear inequalities

Answers

Y>x+3 the graph for it

Solve for x algebraically, x - 15 < 25

Answers

Answer:

x<40

Step-by-step explanation:

x-15<25

Add 15 since addition is opposite of subtraction, thus cancelling the 15 out on both sides.

x-15<25

 +15 +15

x<40

---

hope it helps

the expression shown is the cost a customer pays for an item, where c is the cost the store pays for the item and 0.85c is the 85% price increase the store adds to the item. which expression is equivalent to c + 0.85c?

A. 0.15c

B. 0.85c

C. 1.15c

D. 1.85c

Answers

Answer is C. Do you need to show your work as well or?

y is inversely proportional to x.
When =9, y = 8.
Find y when x= 6.

Answers

Answer:

y=12

Step-by-step explanation:

y is inversely proportional to x

y=k/x

k is a constant of proportionality

k=yx

y1x1=y2x2

8(9)=y2(6)

y2=8(9)/6

y2=12

Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora

Answers

Respuesta:

03:40 pm;

15: 40;

20 minutos antes de las 4 pm;

40 minutos después de las 3 pm

Explicación paso a paso:

20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:

Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm

Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40

Además, el tiempo se puede informar en palabras de la siguiente manera:

20 minutos antes de las 4 pm

También ;

40 minutos después de las 3 pm


43 - 12y = 8
41 + 12y = 56

Answers

Answer:

no solution

Step-by-step explanation:

+12y and -12y cancel each other out.

we are left with 43+41=8+56

84 doesn't equal 64

so NO SOLUTION

Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet

Answers

Answer:

carl and ben aint human chief

Step-by-step explanation:

Answer:

1 11/12

because they ain't human chief ant answer

PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.​

Answers

Answer:

[tex] k = 24 \sqrt{2} [/tex]

Step-by-step explanation:

Given is a 45° - 45° - 90° triangle.

According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.

[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24*[tex]\sqrt{2}[/tex] =k*1

24[tex]\sqrt{2}[/tex] =k

5. A construction area has 6 cylindrical posts protecting the
equipment. They are filled with sand to reinforce them. If each
cylinder is 4 feet tall and has a diameter of 1 foot, how much sand
was needed to fill the cylinders?
Record your answer and fill in the bubbles on your answer. (If it’s wrong or random you will be reported)
document. Be sure to use the correct place value.

Answers

Answer: what’s the answer ?

Step-by-step explanation:

If each cylinder is 4 feet tall and has a diameter of 1 foot then the amount of sand needed to fill the cylinders is 19 cubic feet.

Given that there are 6 cylindrical posts protecting the equipment

To find tge amount of sand needed for cylinders,

We need to find the volume of each cylinder.

The cylinder is 4 feet tall and has a diameter of 1 foot,

Height is 4 feet

Diameter is 1 foot and radius is 1/2 feet.

Volume of cylinder = πr²h

=3.14×(1/4)(4)

=3.142 cubic feet.

As there are six cylinders.

Multiply 6 with 3.142

Amount of sand needed = 6×3.142

= 18.852 cubic feet.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

What is the value of x in the figure?

A. 40
B. 70
C. 80
D. 120
E. 150

Answers

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help

Answers

Answer:

Loss of $.35

Step-by-step explanation:

Income per t-shirt = 1302/120 = 10.85

Expense per t-shirt = 1344/120 = 11.20

Loss per t-shirt = 11.20 - 10.85 = .35

Antony purchases his Play Station 5 for $1,099 from Best Buy near the Parks Mall. The sales tax is 8.25%. How much does he pay for taxes? (Round to the nearest hundredth place

Answers

Answer: $90.67

Step-by-step explanation:

Sales taxes are paid per good purchased to the IRS and are more often than not, collected at the point of sale by the seller.

The sales tax paid on the PlayStation can be calculated by the formula:

= Price of purchase * Sales tax percentage

= 1,099 * 8.25%

= $90.67

How do I find the angles

Answers

Answer:

if there smaller than 90 degrees then it's acute if the angle is bigger then 90 degrees it's obtuse

Step-by-step explanation:

Witch is greater 17% or 4/25

Answers

Answer: 17%

Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.

4/25=16/100=16%, so 17% is bigger.

Can someone help with this math question please?

Answers

08766896554 JVC dúo ctgfc bo

A set of twenty cards is labeled 1 through 20. Anna draws one card randomly. What is the probability that Anna will draw an even number greater than 10?

Answers

Answer:

50% chance

Step-by-step explanation:

(44=6x-1+9x,-5)

I don’t know how to answer this I just know it’s ( , -5)

Answers

Answer:

Step-by-step explanation:

(44=6x-1+9x.-5)

We move all terms to the left:

(44-(6x-1+9x.-5))=0

We add all the numbers together, and all the variables

(44-(6x+9x.-6))=0

We calculate terms in parentheses: +(44-(6x+9x.-6)), so:

44-(6x+9x.-6)

determiningTheFunctionDomain

-(6x+9x.-6)+44

We get rid of parentheses

-6x-9x.+6+44

We add all the numbers together, and all the variables

-6x-9x.+50

Back to the equation:

+(-6x-9x.+50)

We get rid of parentheses

-6x-9x.+50=0

We move all terms containing x to the left, all other terms to the right

-6x-9x.=-50

find the gradient of line ab

Answers

Please give more clear explanation for this question so I can help you.

Someone help me solve this

Answers

Answer:

x=-2

Step-by-step explanation:

1.1x +1.2x -5.4 = -10

Combine like terms

2.3x -5.4 = -10

Add 5.4 to each side

2.3x -5.4+5.4 = -10+5.4

2.3x = -4.6

Divide each side by 2.3

2.3x/2.3 = -4.6/2.3

x= -2

Kinyua spent 1/4 of his net salary on school fees. He spent 1/4 of the remainder on electricity and water bills. He spent 1/9 of what remained on transport. If he finally has she. 8400 calculate his total salary

Answers

Answer:

Let his net salary = x.

He spent 1/4th of x on School fees

Remainder = 1-1/4 = 3x/4

He spent 1/4th THE REMAINDER on Electricity and Water Bils

1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16

He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand

New Remainder = 3x/4 - 3x/16

= 9x/16.

He spent 1/9th OF WHAT REMAINED ON TRANSPORT.

1/9 x 9x/16

=x/16

New Remainder

= 9x/16 - x/16

=x/2.

If he finally had 8,400

Then

x/2=8,400

x=2x8,400

x= 16,800.

This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!

The 3rd one please!
I’ll mark you the brainliest!!!!

Answers

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

................helpppp.......................

Answers

Answer:

36 cm³

Step-by-step explanation:

V = lwh

you can separate the figure into a 2 ×2 × 3 rectangular prism on left which gives you a volume of 12

the remaining portion is 2 × 2 × 6 which gives a volume of 24

12 + 24 = 36 cm³

Other Questions
I WILL GIVE BRAINLIEST PLS HELP im not sure How much would you pay for a shirt that is marked at $85, but is on sale for 30% off? (no Tax) Suppose that you are a travel writer for a newspaper or magazine. You are visiting the main temple at Abu Simbel and see four 66-foot statues of Ramses II at the entrance. This image shows one of the four statues. Write a short article of two paragraphs, describing the statue shown in this image. Make sure your article engages the interest of the reader. states the topic clearly. follows a clear organizational pattern. develops the topic with supporting details. uses precise verbs, nouns, and adjectives to paint a visual image in the mind of the reader. ends with a summary related to the purpose for writing el condicional ele worksheet on live worksheets.com "Sometimes conflict can be healthy". Critically discuss this statement. ill give brainliest to the correct answer What is the value of F ? Which of the following limit cell size? Select all of the answers that apply. how to convert 2km into SI unit A parallel combination of 3ohms and 4ohms resistor is connected in series with a resistor of 4ohms and a battery of negligible resistance. Calculate the effective resistance in the circuit could someone type me a paragraph for the following political words: autocracy, democracy, military regime, capitalism, consensus, dictatorship, or marxism? each political word should have their own paragraph(don't need to do all, if anyone could help w just one, i'd rly appreciate it, thanks!) 1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza What are some core features of waves in physics? 11. What household object was used to compare "boom and bust"? Is it possible to design a tablewhere no two legs have the same length? Assumethat the endpoints of the legs must all lie in the sameplane. Include a diagram as part of your answer. Air masses move from areas with high pressure (such as the poles of the Earth) to areas with low pressure (the equator). The temperature and moisture of an air mass depend on where it is formed. A maritime tropical air mass is _______ and _______. Which coordinate point represents the y -intercept of the equation 3x + 2y = 18 Determine the equation of the circle graphed below. However, we in the audience know that Juliet is not really dead, she merely took a potion to make it look like she was dead for her own motives. When the audience of a story knows more than the characters involved, what type of irony is employed