Mathematics High School

(08.01 LC)
Two lines, A and B, are represented by the equations given below:
Line A: x + y = 2
Line B: 2x + y = 4
Which statement is true about the solution to the set of equations? (5 points)
1) There are infinitely many solutions.
2) There are two solutions.
3) There is one solution.
4) There is no solution.

Answers

Answer 1

Answer:

(2, 0)

There is one solution

Step-by-step explanation:

Given the set of equations

x+y = 2

2x+y = 4

Substract both equations

x - 2x = 2 - 4

-x = -2

Multiply thrugh by -1

-1(-x) = -1(-2)

x = 2

Substitute x = 2 into equation1 ;

From 1, x+y = 2

2 + y = 2

y = 2-2

y = 0

hence the solution to the system of equation is (2, 0). Hence there is only one solution

Answer 2

Answer:

There is one solution.

Step-by-step explanation:

Related Questions

Have an Amazing day!!!!

Answers

Answer: DHSJDJSJSJ I LOVE THAT

Step-by-step explanation:

Answer:

I LOVE THISSSSSSSSSSSSSSSSSSSSSSSSSSS BROOOOOO

Step-by-step explanation:

6x-3y if x = 5 and y = -1

Answers

Expression: 6x - 3y

x = 5y = -1

Solution: If we substitute the values of x and y into the problem, we get 6(5) - 3(-1); 6 times 5 is 30, and 3 times -1 is -3... 30 - (-3) becomes 30 + 3 = 33!!

Answer: 33

Please help ASAP!
You buy a coke and a burger for dinner. That ratio of the cost of the burger to the coke is 3:1. The total cost of the burger and coke is $8. What is the cost of the burger?

Answers

The cost of the burger is $6

Which of the following describes the symmetry of this conic section?

Answers

Answer:

x=1

Step-by-step explanation:

It will be x=1 because once it is at x=1, the parobola is split into 2 EQUAL parts. For example, if you graph this on paper and try to guess the middle and place a line where you want to split it, the line will go at x=1

Thank you :)

Which equation is true when x = 0?

A 6- X + 2 = 4

B 2 + 6 - x= 4

C x - 6 + 2 = 4

D 6 + x - 2 = 4

Answers

Answer:

Answer is D

Step-by-step explanation:

x = 0

6 + x = 6

6 - 2 = 4

A lamp post casts an 18ft shadow. If Chris’s shadow is 6ft long and his height is 5.25ft, what is the height of the lamp post?

Answers

Answer:

15.6

Step-by-step explaination:

So first you have to find how much longer the shadow is from the actual. That is 1.15384615385 or about 1.15.

You take that and divide it by 18 and you get 15.6

6x - 2y = 10
y = -2x + 10

Answers

Answer:

(3,4)

Step-by-step explanation:

6x-2y=10

y+2x=10

2y+4x=20

6x-2y+2y+4x=10+20

10x. =30

X=3

y+2x=10

y+6=10

y=4

What is the length of the diagonal, d, of the rectangular prism shown below?
Round your answer to the nearest tenth.

Answers

Answer: I'm not sure but I need points. Hope you find your answer !

Step-by-step explanation:

what are some characteristics that you can use to describe functions

Answers

Answer:

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

Barney is buying a ticket for the local AAA baseball game. A ticket for the seat he wants costs $34.75. Barney gets a student discount of $7.50. There is a $2.95 service fee on each ticket. How much does Barney pay for the baseball ticket?

Answers

Answer: $30.20

34.75- 7.50= 27.25
27.25+ 2.95= 30.20

In rhombus LMNO, the diagonals intersect at X. If mZLMO =
32°, find mZMLO.
m.

Answers

Answer:

116

Step-by-step explana

Which expression is equivalent to 12x + 36y

Answers

Answer:

12(x+3y)

Step-by-step explanation:

.........................

Answers

Answer:

x=10, y=20

Step-by-step explanation:

180-20-=160

160-90=7x

7x=70

x=10

5x+2y=90

5(10)+2y=90

50+2y=90

2y=40

y=20

Hope this helps! :)

Answer:

x=10 y= 20

Step-by-step explanation:

to find x use the 20* and the 90* from the top to get 110

then use the straight line to subtract 110 180-110=70

then do 70 / 7 =10

to find y solve for 5x first to get 50 add 70* from the vertical angle to get 120

then use the vertical angle from 20* to get 140

then use the straight line to subtract 140 180-140=40

then do 40/2 = 20

Clare has $175 in her bank account. She buys a bike for $200. What is Clare's account balance now?

Answers

Answer:

- 25

Step-by-step explanation:

Claire has $175 in her bank account now she bought a $200 bike.

Working it out ; subtract $200 from 175 to get -25

175

200

-25

Answer: She has -25

Step-by-step explanation:

175 - 200 is -25

In the expression 3x-10 which would be the constant

Answers

Answer:

-10

Step-by-step explanation:

The constant is the part of the algebraic function or expression that does not change. In this case, as x changes, the constant -10 does not. Thus, -10 is the constant.

Please answer number 1! Thank you have a good day! :)

Answers

the slope or rate of change shows that as the grade of the hill (%) increases the walking speed (mph) decreases.

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=53°, and CD = 5.5 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer:

6.9

Step-by-step explanation:

Does — бр + 7 = 7 – бр have
No Solution, One Solution, or Infinitely

Answers

Answer:

Infinitely

Step-by-step explanation:

Hi,

Both sides of the equation are equal to each other, this means they're the exact same line and overlap. This is infinitely many solutions.

Hope this helps :)

Answer:

Infinitely

Step-by-step explanation:

-6p+7=7-6p can be reshuffled to read: -6p+7=-6+7. Both sides of the equation are the same, so there are infinite solutions.

Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14.(5 points)
a
-50
O
b
-5
Ос
2
Od
8
PLEASE HELP ASAP PLEASE PLEASE

Answers

Answer:

Step-by-step explanation:

if you see a person that sends you a sketchy link dont click it is an ip grabber.

alguien save como se hace las diviciones es mi pirmera pregunta

Answers

Hola alguien fomo jwiwnqmiwiwhqbsowbw wiener wow

Yo si pero no se como explicarlo pero pon en g o o g l e videos como dividir

PLEASE HELP IF YOU CAN!! Use "completing square method" to write an equation for x² + 20x + 82 = -4 in prefect square form and solve for x

Answers

x^2 + 20x + 82 = -4

Subtract 82

x^2 + 20x = -86

CTS b/2 squared = 20/2 ^ 2 = 100

x^2 + 20x + 100 = -86 + 100
x^2 + 20x + 100 = 4
(x + 10)^2 = 4

Take the square root

x + 10 = +/- 2
x = -10 +/- 2

x = -10 + 2 = -8
x = -10 - 2 = -12

x = -8, -12

(A) Music and treats
(B) treats and savings
(C) music and savings
(D) toys and treats

Answers

Answer:

Step-by-step explanation:

Your answer is Toys and treats

Let f (x) = x^2 - 2bx where b is a constant. What can you say about the zeros, y-intercept, axis and symmetry and extreme value of f(x) in terms of b? Justify your answers

Answers

Answer:

(F)^4-6

Step-by-step explanation:

Answer:

(F)^4-6

Step-by-step explanation:

2. The measure of an interior angle of a regular polygon is 160 degrees. Find the number of sides in the
polygon

Answers

Answer:

18 sides

Step-by-step explanation:

(N x 180) - 360 = 160N

180N -360 = 160N

20N = 360

N = 18

Proof:

(18 x 180) -360 = 2880 total degrees

2880/18 sides = 160°

How many solutions does the system of linear equations have? Choose the best answer.
2x + 4y = 3
2x + 4y = 9

Answers

Answer:

The system of linear equations will have infinite solutions.

Step-by-step explanation:

This is because, this system of linear equations is in 2 variables, x & y. Any number can be substituted in their place. So, infinite solutions can be made.

Jake forgot to replace the cap on a bottle of cologne. The cologne began to evaporate at the rate of 18% per day. If the original amount of cologne in the bottle was 50 grams, which of the following graphs best represents the amount of cologne f(x) remaining in the bottle after x days?

Answers

Answer:

x is 738

Step-by-step explanation:

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

It would be the last one

what is 4x-7n=
1. 4
2. 17
3. 10
4.41

Answers

I can’t tell without the question

*cough cough* I need help :D

Answers

Step-by-step explanation:

*cough cough*

A spinner is spun 80 times.
Red
Red
Blue
Blue
Red
White
Blue
Blue
1 How many times would you expect the spinner to NOT land on white if the spinner is
spun 80 times?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.

Answers

Answer:

Step-by-step explanation:

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