What does it mean if (3, 2) is a solution of

{

y = x - 1

y = -x + 5

?

Answers

Answer 1

(x,y) = (3,2)

y = x - 1

2 = 3 - 1

2 = 2

y = -x + 5

2 = -3 + 5

2 = 2

Answer 2

If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, The system of equation y = x - 1 and y = - x + 5 has a

solution (3, 2).

If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.

For,

y = x - 1.

At, x = 3,

y = 3 - 1

y = 2   (satisfied).

For,

y = - x + 5.

At, x = 3,

y  - 3 + 2.

= 2     (satisfied).

learn more about the system of equations here :

https://brainly.com/question/19549073

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Related Questions

Emerson swims 1/2 a miles every 1/4 of an hour. How far can she swim in one hour?

(Complex fractions)

Answers

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

2 miles in one hour

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

Answers

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

I need help ASAP please

Answers

Answer:

option 4= 12/13

Step-by-step explanation:

let us supooae <c is thetha

sin thitha = oppotise side/hyptotenuse

<C= AB/AC

<C=12/13

can someone helppp!! i will guy brainlist if it’s right!

Answers

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75

Mark hits a tennis ball into the air. He uses the equation shown to approximate the
height, h, in feet, of the ball t seconds after he hits it.
h = -1612 +886 + 4
What does the 4 represent in Mark's equation?
A.
The ball was in the air for a total of 4 seconds.
B.
The ball landed 4 feet away from where Mark hit it.
C.
The ball was 4 feet above the ground when Mark hit it.
D.
The ball reached its maximum height 4 seconds after Mark hit it.

Answers

Answer:

C. The ball was 4 feet above the ground when Mark hit it.

Step-by-step explanation:

After he hit the tennis ball into the air, the ball was 4ft above the ground.

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

can someone pls help me

Answers

Answer:

x=−8 and y=−4

Step-by-step explanation:

8x−17y=4;−8x+15y=4

add eqn1 and 2

to eliminate x

you will get y=-4

put it zin eqn 1

x=-8


through: (-5, 4), slope =-3/5

Answers

Answer:

y - 4 = (-3/5)(x + 5)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h)

Here, y - 4 = (-3/5)(x + 5)

i wish i knew this problem

please help can you help i really need help like really this is so heard

Answers

Answer:

1/8 square unit.

Step-by-step explanation:

Remark

The piece of information that is missing is     is the middle line parallel to 2 of the sides. You have to assume it is, otherwise the question is impossible to do.

Givens

The height of the red triangle is 1/2 the top or bottom white triangle. That's because the diagonals and the horizontal line all meet in the middle.

The base of the red triangle is equal to 1/2 the length of the base.

Formula

Area red = 1/2 b * h

Solution

b = 1/2

h = 1/2

Area = 1/2 * 1/2 * 1/2

Area = 1/8

I need help on the second problem!!!

Answers

Answer:

They are correct.

Explanation:

Since adding two exponents only happens when you multiply two identical bases, that way of solving it is valid.

Hopefully this helped!

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?

Answers

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

what is the circumfrence of a circle with a radius of 4 inches. Use 3.14 for pi.

Answers

Answer:

25.12 in.

Step-by-step explanation:

Circumference formula: pi*2*radius

radius=4, so

3.14*2*4=25.12

Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?

Answers

Answer:

its 216 cubic feet.

Step-by-step explanation:

6x6x6 is 216

Jennifer's grandma bought her a $50 savings bond when she was born. When Jennifer is 30 years old, the bond will have earned 110% in interest. How much will the bond be worth when Jennifer is 30 years old?​

Answers

Answer:

105$

Step-by-step explanation:

We are told that she starts with 50$

We are also that after 30 years she earns 110% on interest

Given this information we need to find the value of the bond after the 30 years

To do so we take 110% of the initial value (50$) and add that to the initial value

So the answer = 110%(50) + 50

110%*50=55

55+50=105

So in 30 years the bond will be worth 105$

Help Me Please
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?

Answers

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

Sharon skated for 6 2/3 hours last month and 2 2/3 hours this month. How many hours did Sharon skate in all?

Answers

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

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

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Find the volume of the rectangular prism. Write your answer in simplest form. No links please

Answers

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

Based on the given information, which of these are true? Choose ALL that are correct

Answers

Cos Y= e/f and Sin B= n/p

Determine the intercepts of the line?

Answers

Answer:

x-intercept: (-7.5 , 0)   y-intercept: (0 , 5.5)

Step-by-step explanation:

prove that underroot 3-underroot 5 is irrational.​
Please quickly I need this answer

Answers

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Scavenger Hunt
heard F. Use your answer to card F. to find the next
A
12 - x - 2x = -12

Answers

Answer:

Hi! The answer to your question is [tex]x = 8[/tex]!

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Which equation represents a line that passes through the points (4, 5) and (6, 9)? A. y = 2x-3 B. y - 3x-7 C. y= x + 3 D. y- + x + 7​

Answers

Answer:

A) y=2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-5)/(6-4)

m=4/2

m=2

y-y1=m(x-x1)

y-5=2(x-4)

y=2x-8+5

y=2x-3

Math help help please

Answers

Answer is 5,004,300

Answer:

5,000,000+4,000+300=5,004,300

Step-by-step explanation:

hope this helps

can you help me with this, please?​

Answers

Answer:

its D i do belive

Step-by-step explanation:

Answer:

28in, 195in, 197in

Step-by-step explanation:

There's no "supereasy" way to solve it, except by computation or approximation.

e.g. 2 3 6 couldn't work, because 2+3 < 6 so it's not even a triangle

125^2 cannot equal 122^2 + 30^2, because 125^2 is odd and 122^2 and 30^2 are even

23^2 + 18^2 = 529 + 324 < 900 < 31^2

So it has to be the last one, and after verification we find it checks out and 28^2 + 195^2 = 197^2

Use the following numbers, 4, 30, and 21 to create an equation equal to 1. You may only use each number once. You can use any operation you want to.

Answers

Answer:

sqrt(30-21)-sqrt(4)=1

Step-by-step explanation:

I found that sqrt(30-21)-sqrt(4)=1 since sqrt(30-21)=sqrt(9)=3 and sqrt(4)=2 so 3-2=1

Each length of the side of square B is twice the length of the side of square A.
John says that this means the area of square B is twice the area of square A.
Is John right?
Justify your answer.

Answers

Answer:

yes

Step-by-step explanation:

because the area of square is l² so John is righrt

Answer:

Area of square= ²

Area of square A= ²

Area of square B = ?

let the length of square A = x

Area of square A =x²

then the length of square B = 2x

Area of square B =2x²

x²means area of square A

so Area of square B =2 times area of squarf A

How many Terms are in the following expression: x−12÷(3∗2)

Answers

Answer:

4.

Step-by-step explanation:

Each term is separated by a symbol.

Terms can be: 4x, 0.5x, 3, 700, etc.

term 1: x

term 2: 12

term 3: 3

term 4: 2

Hope that helped <3

HELP PLEASEEEE! whats the answer

Answers

Answer:

sum: 45

count: 15

mean: 3

Step-by-step explanation:

sum the number of times students ate fast food

count the amount of students that took the survey

the average amount of times students went out to eat

Answer:45

Step-by-step explanation: just add 1+1,2+2,3+3+3+3,+4,+5,+6+6+6

Work on the screenshot

Answers

Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

The answer is 10.1 gallons

Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?
A. 2 1/4
B. 1 1/2
C. 4 1/2

Answers

Answer:

A 21/4

Step-by-step explanation:

When forming a perfect square trinomial you need to "complete the square".

All of the steps to completing the square when solving an equation:

1.  The leading coefficient must be 1.  

2.  Divide b by 2.

3.  Square (b/2)

4.  Add (b/2)^2 to both sides to keep the polynomial balanced.

5.  You can now write the perfect square trinomial and solve.

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

What is the volume of the cylinder? Use 3.14 for T.

Answers

Answer:

251.2

Step-by-step explanation:

V=πr²h

3.14×4²×5

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