Using a graphical method, solve the simultaneous equations x+y =4 and y=2x+1

Answers

Answer 1

Answer:

(1, 3)

Step-by-step explanation:

Given the expression

x+y = 4 ... 1

y = 2x+1 ....2

Substitute equation 2 into 1

x + (2x+1) = 4

3x + 1 = 4

3x = 4-1

x = 3/3

x = 1

Since y = 2x + 1

y = 2(1) + 1

y = 3

Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)


Related Questions

Fourteen students got a B on the last quiz. This represents 2/5 of the class. How many students are in the class?

Answers

3/5 of the class is left

Answer:

35

Step-by-step explanation:

2 x 7 = 14

5 x 7 = 35

PLEASE HELP!! Step by step if possible

Answers

Answer:

r = 9

Step-by-step explanation:

[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.

[tex] \therefore OP\perp QP[/tex]

[tex] \therefore m\angle OPQ = 90\degree [/tex]

So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

[tex] OQ^2 = OP^2 + PQ^2 [/tex]

[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]

[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]

[tex] \therefore 64r = 1600-1024 [/tex]

[tex] \therefore 64r = 576 [/tex]

[tex] \therefore r = \frac{576}{64}[/tex]

[tex] \therefore r = 9[/tex]

Find the volume of the solid.



The volume of the solid is____
cubic centimeters.

Answers

27 cubic centimeters

PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF

Answers

Answer: I believe it's 6 5/8

Step-by-step explanation:

Please help I have 15 minutes!!!!!!!

Answers

Answer:

NO WAIT NO IGNORE MY PREVIOUS ANSWER

NOT A FUNCTION

If you draw vertical lines on the dotted line, one line will intersect two parts of the dotted line, so it is not a function.

Please someone just explain this to me right I will give you brainlest if you pit down the explanation on how you got that.

Answers

Answer: w = 2

Explanation: To find the slope of a line, we use the formula y = mx + b, where m is the slope and b is the y-intercept. Since there is a variable, w, we can use this formula: m = 7 + w.

We know that m, or the slope of the line, is 9. If we substitute the value of 9 into that equation... we should get 9 = 7 + w.

It's simple mathematics from here.

7 plus what is 9?? 2. That's your answer. If you need help with slope-intercept and rate of change WITHOUT variables (besides x and y, of course), feel free to let me know!!

Where did I get that 7?

Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.

We will be using this formula: y - y₂ = m(x - x₁)

This equation is useful when we know:

one complete coordinate point (x₁, y₁)and the slope of the line (m)

and we want to find the other point.

(x₁, y₁) is the known point. In our example, it's (-7,-7).

(x, y), sometimes written as (x₂,y₂), is (-6, w) and represents the missing coordinate.

EXAMPLE (SEE IMAGE):

slope (m) = 3

y − y1 = m(x − x1)

We know m, and also know that (x1, y1) = (3,2), and so we have:

y − 2 = 3(x − 3)

That is a perfectly good answer, but we can simplify it a little:

y − 2 = 3x − 9

y = 3x − 9 + 2

y = 3x − 7

EXAMPLE IMAGE:

four friends went to the each person bought a movie ticket and the total the four friends spent on the tickets was $52 Which equation can be used to find the cost of each ticket

​​

Answers

The total amount of money spent/ amount of friends

Step-by-step explanation:

52/4

Answer:

4x = 52

Step-by-step explanation:

Let's say the cost of the ticket is represented by the variable x.

If 4 friends each went to the movies, and the tickets cost $52, that means

x + x + x + x = 52

Simplifying this, we get

4x = 52

If you want to solve for the cost of each ticket, divide both sides by 4.

After doing this, we get

x = $13

I hope this helps!

Kendra determined that the leaky faucet
in her bathroom drips 0.325 liters of water
each hour. How many liters of water does
the faucet drip in 1 2 days?
A 5.85 L
C 7.96 L
B 11.7L
D 4.875 L

Answers

Answer:

B

Step-by-step explanation:

There are 24 hours in a day.

24/2=12

24+12=36

0.325*36=11.7

pls brainliest

Answer:

B

Step-by-step explanation:

Help please


Thanks <3

Answers

Answer:

answer in the screen shot provided

The absolute value of -4 is equivalent to the distance on a number line between
Please help

Answers

Answer:

4 To 0

Step-by-step explanation:

it is 0-4=-4.

hence you can choose any other natural number too

Compute 25% of 6/12 .

Answers

Answer:

0.125

Step-by-step explanation:

25 percent means one fourth. To calculate 25 percent of a number, simply divide it by 4. For example, 25 percent of 12 is 12 divided by 4, or 3.

Find the simple interest earned
after 8 years in an account with a
principal of $5,000 and an annual
interest rate of 3%.

Answers

Answer:

SI = $1,200 ; A = $6,200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 5000 × 0.03 × 8 = 1200

I = $ 1,200.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 3% per year

for 8 years is $ 1,200.00.

Find the area of the shaded region
8cm

Answers

After answering the query, we may state that area of shaded region = 100.48-64 =  36.48 sq cm.

What is circle?

Each point in the plane that is a certain distance from the centre (another point) forms a circle. Thus, it is a curve composed of points whose are separated from another point in the plane by a certain distance. Additionally, at every angle, it is alternately symmetric about the centre. The closed, two-dimensional plane of a circle has every pair of points equally separated from the "centre." By drawing a line through the circle, one may create a line of circular symmetry. Additionally, at every angle, it is rotationally equal about the Centre.

here, by Pythagoras theorem

diagonal =  [tex]\sqrt(8^2 + 8^2) = \sqrt(64+64) = \sqrt(128) = 8\sqrt2[/tex]

radius = [tex]4\sqrt2[/tex]

area of circles = [tex]\pi r^2 = 3.14 * (4\sqrt2)^2 = 100.48 cm^2[/tex]

area of square = 8*8 = 64 sq cm

area of shaded region = 100.48-64 =  36.48 sq cm.

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ1

If 80% of A is 40% of B, then B is what percent of A?

Answers

( 80/100) × A = ( 40/100 ) × B

Divide both sides by 40/100

( 80A/100 )÷( 40/100 ) = ( 40B/100 )÷(40/100 )

2A = B

Divide both sides by A

2A ÷ A = B ÷ A

2 = B/A

B/A = 2 × 100

B/A = 200 %

Answer:

200%

Step-by-step explanation:

Because I answered the question correctly.

Find the width of a cereal box that has a volume of 5,440 cm3 and is 34 cm long and 20 cm high.

Answers

Answer:

8 cm wide.

Step-by-step explanation:

5440/34/20=8 .

Last year, a rapper performed 40 times. This year the rapper performs 125% of that number of times.

Answers

I think it should be 50

The number of times the rapper performed this year given the number of times he performed last year is 90.

How many times did he perform this year?

Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.

The number of times he performed this year = (1 + percentage) x number of times he performed last year

(1 + 1.25) x 40 = 90

Here is the complete question: Last year, a rapper performed 40 times. This year the rapper performs 125% of that number of times. How many times did he perform this year.

To learn more about percentages, please check: https://brainly.com/question/25764815

GIVING BRAINIEST IF CORRECT!!!!!

Ciara is making a new outfit for dance. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need?
A. 7 1/4 yards
B. 1 1/4 yards
C. 2/3 yards
D. 2 2/3 yards

Answers

2 1/2 + 1 3/4= 4 1/4

4 1/4 - 3= 1 1/4

ANSWER:
B. 1 1/4 yards

Which expression is equivalent to 2-2 x 22?

Answers

Answer:

-42

Step-by-step explanation:

Following Order of Operations, we have to multiply before subtracting, so

[tex]2-2*22[/tex]

[tex]=2-44[/tex]

[tex]=-42[/tex]

Using order of operations, we get -42.

Determine the value of y, if x is 7.
y = x2 – 7

Answers

Answer:

y = 42

Step-by-step explanation:

y = x^2 – 7

Let x=7

y = 7^2 – 7

y = 49 -7

y = 42

What is the slope of the line that passes through (2,3) and (2,11)

Answers

Answer:

the slope is unidentified

Step-by-step explanation:

x=2

there is no slope.

How do you find the radius of a cube?



There is no answer choices, my own question.
15 points plz describe well. And no bit links plz.

Answers

Answer:

Correct answer:

To find the diagonal length of the cube, we use the distance formula d=√(32+32+32 )=√(3*32 )=3√3, and then divide the result by 2 to find the radius of the sphere, (3√3)/2.

Solve for x. Please and thank you.

Answers

Answer:

20

Step-by-step explanation:

A box of dried fruit has 45 calories in 3 servings. How many calories are there per serving?

Answers

Answer:

15 calories

Step-by-step explanation:

There are 45 in 3

3x=45

/3   /3

x=15

15 calories in each serving

Hope it helps,

Kavitha

Find the inverse of f(x)= 0.5x -1

Answers

Answer:

Y=2x+2

Step-by-step explanation:

Y=0.5x-1

To find inverse, switch and y

x=0.5y-1

0.5y=x+1

Y=2x+2

Answer:

f −1(x)=2x+2

MARK AS BRAINLEST!!

Step-by-step explanation:

solve the equation using square roots. round your solutions to the nearest hundredth. 5x^2+2=6

Answers

x = 0.89
x = -0.89
two solutions

WILL MARK BRAINLIEST ANSWER!!!

13. Lines L₁ and L2 are parallel. Find the measure of x.

14. Lines L1, and L2 are parallel. Find the measure of y.

15. Lines L₁ and L2 are parallel. Find the measure of x.

Answers

Answer:

Im pretty sure its D A B

Step-by-step explanation:

I am learning about this

Answer:

13. x=180-63=117°

14. y=133°

15. x=77°

Which of the following functions is not linear?​

Answers

Answer:

third bubble, y = (1/3)^x

Step-by-step explanation:

hii frnds i m new in this app​

Answers

Answer:

Hello

Step-by-step explanation:

Nice to meet you. Welcome to Brainly where you can get points by answering different questions. You can also ask your own questions and it will be answered by thousands of Brainly users around the world. Enjoy!

Answer:

Welcome to Brainly. I hope you enjoy your stay.

Taylor bought a watch on sale for 60% off of the original price, and another 10% off of the discounted price. If the watch originally cost $82, what was the final sale price?

Answers

Answer:

I think the answer is $4.92.

Step-by-step explanation:

Although the answer seems a little unreasonable, I think this is the answer:

$82 * 60% = $49.2

49.2 * 10% = $4.92

Please mark brainliest if correct!!!!!!!!!!!!!!! have a nice day!!

The Image below show kite ABCD that lie on E

Answers

Answer:

[tex]m(DAB)=228^o[/tex]

[tex]m[/tex]∠[tex]BCD=48^o[/tex]

[tex]m[/tex]∠[tex]ABC=123^o[/tex]

Step-by-step explanation:

[tex]Given:[/tex]

m∠BAD=66°

m BD =2(m∠BAD)

= 2(66)

m BD=132°

m DAB= 360° - 132°

m(DAB) = 228°

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

m∠BCD= 1/2(m DAB -m BD)

= 1/2(228- 132)

m∠BCD= 48°

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

m∠ABC= 360-(66+48)/2

= 360 -114/2 = 246/2

m∠ABC=123°

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

hope it helps...

have a great day!!

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