At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.

Answers

Answer 1

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.


Related Questions

How do you graph y=−x−2.

Answers

Y=-x-2 that is how you graph it
Isn’t that how you graph it? I’m confused about the question sorry!

HELP HELP HELP HELP HELP PLEASE PLEASE!!!!!!

Answers

I did something very very similar to this bu it was couple years ago

9514 1404 393

Answer:

  84 = j × 7

Step-by-step explanation:

A product results from multiplying two numbers. Here, the two numbers are said to be "Julie's score" and 7. "Julie's score" is represented by j, so the product is ...

  j × 7

Then the translation can be ...

  84 is the product of j and 7

  84 = j × 7

__

In algebra, we can indicate a product without the multiplication symbol, simply by writing the factors next to each other. Generally, we write the numeric factor first:

  84 = 7j . . . . another way to write the answer

Note that this latter method does not seem to appear in the forms available for your answer box.

Ricardo works as a real estate agent. he earns 6% commission for every how he sells. last month, Ricardo sold two homes. One sold for $135,000 and the other sold for $160,000. how much did Ricardo earn by selling these two homes?

Answers

Add the two houses together:

135000 + 160000 = 295,000

Multiply the total by the percentage:

295,000 x 0.06 = $17,700

He earned $17,700

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?

a.(2 × 25) + 105

b.(105 x 2) + (25 x 2)

c.2 x (25 + 105)

d.2 x 25 × 105

Answers

Answer:

a.(2 × 25) + 105

Step-by-step explanation:

Let the number of hours spent repairing the bike = x

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.

Therefore, our algebraic expression

= $25× x + $105

= 25x + 105

We were told in the question that He spent 2 hours repairing her bike.

Hence:

25 × 2 + 105

Therefore, the correct option is option a

a.(2 × 25) + 105

5/= 1.5 x 25

What is 1.5 × 25

A. 22.5

B. 37.5

c. 52.5

D. 85.5​

Answers

Answer:

37.5 is the answer

Step-by-step explanation:

all you do is just multiply the 2 numbers

What is the area of the composite figure?

Answers

Hello! :)

[tex]\large\boxed{A = 32.5cm^{2}}[/tex]

We can use the following area to solve for the area of the trapezoid pictured:

[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]

Where:

h = height

b1 = bottom base

b2 = top base

Plug in the given values:

[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]

Simplify:

[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]

how much is 1/2÷8×57÷13+15

Answers

Answer:

Use the BODMAS method and at the end work the fraction left by adding it to 15

My answer was 15.274

help help meeee!!!!!

Answers

Answer:

The correct answer will be $725

Answer:I believe it is $725

Step-by-step explanation: 12.50(1+0.16)

= 14.5 then 14.5 times 50 = 725

which of the following is equivalent to 3(5+2i)-2(3-6i)^2

Answers

Umm im not sure maby like 1+1 or sum

Answer:

can u show me which following?

Step-by-step explanation:

show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;


[tex] \sqrt{361} [/tex]


Answers

Answer:

19

Step-by-step explanation:

Answer:

19

Step by step explanation:

PLZ HELP ME What shape is this cross-section?

Answers

Answer:

i'm not sure if i'm right but think is cube

three and two forths - one and two thirds =
3 2/4 - 1 2/3 =

Answers

Answer:

1.83333333333

Step-by-step explanation:

pls mark me brainliest

ok thanks :) :) :) :)

(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!

Answers

Answer:

8

Step-by-step explanation:

so my school uses the method called kcf (keep change flip)

keep the 4

change the division sign to a multiplication sign

flip 1/2 to 2/1

4x2=8

Answer:

8 i first said two but used a caculater and found out it was 8

Step-by-step explanation:

Photo attached please help

Answers

it’s a

hope this helped!:)
I’m pretty sure it’s a

What’s the answer pls

Answers

Answer:

Step-by-step explanation:

There is no bird on the spinner. therefore the answer is impossible because there is no bird.

Answer:

Impossible - There's no bird on the wheel.

Step-by-step explanation:

Drag and drop the correct terms to classify the triangles based on sides or angles.

Answers

1. Equilateral
2. Isosceles
3. Scalene
4. Right
5. Acute
6. Obtuse

The triangles are classified below.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An equilateral triangle is a triangle where all three sides are equal.

The right triangle is a triangle where one angle is 90 degrees.

An isosceles triangle is a triangle where two sides are equal.

An obtuse triangle is a triangle where the angle is greater than 90 degrees

An acute triangle is a triangle where the angles are less than 90 degrees.

A scalene triangle is a triangle where all three sides are different.

Now,

Side 5 cm, 5 cm, 5 cm, and 5 cm is an equilateral triangles.

Since all the sides are the same.

Sides of 3 cm, 5 cm, and 5 cm is an isosceles triangle.

Since the two sides are the same.

Sides of 3 cm, 5 cm, and 7 cm is a scalene triangle.

Since all three sides are different.

Angles of 40°, 50°, and 90° is a right triangle.

Angles of 40°, 60°, and 80° is an acute triangle.

Angles of 40°, 40°, and 100° is an abtuse triangle.

Thus,

The triangles are classified above.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?

Answers

Answer:

8x - 40 > 200

Step-by-step explanation:

Helppppppppppppp meeeeee

Answers

Answer:

9

Step-by-step explanation:

because 9 in a third is 3

3 + 12 is 15

9x2 is 18

and 15 is 3 less than 18

PLEASE HELP 22 POINTS

Answers

Answer:

y = 15 m<a = 78 m<b = 68

Step-by-step explanation:

(5y+3) + (4y+8) --> 9y + 11

9y + 11 = 146

y = 15

plug in 15 into the equations for the angles and you get

m<a = 78

m<b = 68

Madison makes 4 types of hair ribbons. She makes 3 of each type of ribbon. How
many hair ribbons does Madison make?
A 12
B. 10
C. 9
D. 7

Answers

Answer:

D. 7

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Which type of interest will earn you more money in a savings account?

Answers

Answer:

a compound interest that has the lowest interest rate .  

Step-by-step explanation:

What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?

Answers

Answer:

The answer is y = 6x + 9.

-

Step-by-step explanation:

☆Remember: [tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m =  \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]

---

☆Now all we need to do is plug in and we are done!

[tex]y = 6x + 9[/tex]

▪Happy To Help <3

Promise Easy Points
Calculate the average monthly expenses for these individuals?

Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____

Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____

Answers

$420+$350+$432=kelsey's monthly expenses  

$700+$800=Micheal's Monthly expenses

Michael's average monthly expenses are $750.

What is the average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Kelsey spent $350 in May, $432 in June and $420 in July.

Now, average monthly expenses are

(350+432+420)/3

= 1202/3

= 400.67

Michael spent $700 in April and May and $800 in June and July.

Here, (700×2+800×2)/4

= (1400+1600)/4

= 3000/4

= $750

Therefore, Michael's average monthly expenses are $750.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ2

Which expression is the same as (2 x 7) x 3 ?

Answers

Answer:

[tex]42x^{2}[/tex]

6x - 9x - 5 + 8 + 7x

Show your work.

Answers

Answer:

6x−9x−5+8+7x

=6x+−9x+−5+8+7x

Combine Like Terms:

=6x+−9x+−5+8+7x

=(6x+−9x+7x)+(−5+8)

=4x+3

Answer:

=4x+3

Step-by-step explanation:

I hope this helps

Answer:

=4x + 3

Step-by-step explanation:

Add the numbers

6

Can you help me please with this

Answers

-39/100 is the answer according to me ..

Plz mark me as brainliest if u found it helpful

my friend needs help with this can someone help

Answers

Answer:Sorry

Step-by-step explanation:

Hi would help but i dont know and im not in collage sorry.

I need help with this.​

Answers

Answer:

D=4

C=12.56

Step-by-step explanation:

D=2r

d=2×2

D=4

C=pi ×D

C=3.14×4

C=12.56

At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.

Answers

Answer:

33dollors if I'm not mistakin

Other Questions
If 4x+ 3 = 9x 4, then x = ? F. 75 G. 57 H. 713 J. 15 K. 15 Bought an antique for $25. He would it for 30% more than what he paid. A.P. Hill Corporation uses a process-costing system. Products are manufactured in a series of three departments. The following data relate to Department Two for the month of February: Beginning work-in-process (70% complete) 10,000 units Goods started in production 80,000 units Ending work-in-process (60% complete) 5,000 units The beginning work-in-process was valued at $66,000, consisting of $20,000 of transferred-in costs, $30,000 of materials costs, and $16,000 of conversion costs. Materials are added at the beginning of the process; conversion costs are added evenly throughout the process. Costs added to production during February were Transferred-in $16,000 Materials used 88,000 Conversion costs 50,000 Question Assume that the company uses the first-in, first-out (FIFO) method of inventory valuation. Under FIFO, how much conversion cost did A.P. Hill transfer out of Department Two during February A compound was analyzed and found to contain the following percent composition: 2.056% hydrogen, 32.69% S, and 65.26% oxygen. Calculate the empirical formula. Approximately how many tweets are posted on Twitter each day? 500 500 thousand 500 million 500 billion On January 2, 2021, Farr Co. issued 10-year convertible bonds at 105. During 2021, these bonds were converted into common stock having an aggregate par value equal to the total face amount of the bonds. At conversion, the market price of Farr's common stock was 50 percent above its par value. On January 2, 2021, cash proceeds from the issuance of the convertible bonds should be reported as:_______. a. paid-in capital for the entire proceeds. b. paid-in capital for the portion of the proceeds attributable to the conversion feature and as a liability for the balance. c. a liability for the face amount of the bonds and paid-in capital for the premium over the face amount.d. a liability for the entire proceeds. 3x + 2y = -9X Y = -13 Tropical rain forests receive heavy rainfall. How do the trees and plants of this region withstand rotting? What energy store is in the torchBEFORE it gets switched on? Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow What is the prouduct of the number p and 12 True or false: The Aeneid is a famous story about the beginnings of Rome which of the following is most important in preventing a catheter associated urinary tract infection What is the difference of using Selection Tool and Direct Selection Tool? I need help with this question geometry the anwser options are in the image What is an equation of the line that passes through the points (5,2) and (-5,6)?Put your answer in fully reduced form. A friend asks to borrow $55 from you and in return will pay you $58 in one year. If your bank is offering a 6% interest rate on deposits and loans: a. How much would you have in one year if you deposited the $55 instead what happens when china doesnt be there in the world ?? plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?270 degrees clockwise rotation90 degrees clockwise rotation 180 degrees rotation90 degrees counterclockwise rotation