The price of a washing machine was decreased by 20% to £640.

The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered

Margaret [11]

Answer:

The pair of equations which has (2,12) as its solution is,

equation B and equation C.

Step-by-step explanation:

According to the question,

equation of line A is $\frac {y - 16}{x + 6} = \frac {16 + 4}{-6 - 9}$

or, $\frac {y - 16}{x + 6} = \frac {-4}{3}$

or, $3y - 48 = -4x - 24$

or, 3y + 4x = 24 ------------------(1)

Now, the point (2, 12) doesn't satisfy (1). Hence, (2,12) is not a solution for the line A.

Equation of line B is, $\frac {y - 20}{x + 2} = \frac {20 - 0}{-2 - 8}$

or, $\frac {y - 20}{x + 2} = -2$

or, $y - 20 = -2x - 4$

or, y + 2x = 16 -----------------------------(2)

The point (2,12) is satisfied by (2). Hence, (2, 12) is a solution for line B.

Equation of line C is, $\frac {y + 6}{x + 7} = \frac {20 + 6}{6 + 7}$

or, $\frac {y + 6}{x + 7} = 2$

or, y + 6 = 2x + 14

or. y - 2x = 8 -----------------------------------(3)

The point (2, 12) is satisfied by (3). Hence, (2 , 12) is a solution for the line C.

Equation of line D is, $\frac {y - 20}{x - 7} =\frac {20 + 7}{7 - 0}$

or, $\frac {y - 20}{x - 7} = \frac {27}{7}$

or, 7y - 140 = 27x - 189

or, 7y - 27x = -49----------------------------------------(4)

The point (2, 12) is not satisfied by (4). hence, (2, 12) is not a solution of the line D

Hence, the pair of equations which has (2,12) as its solution is,

equation B and equation C.

6 0

3 years ago

Roy has 4-1/2 pizzas for the soccer team to split after the game. If each member is going to get 1/2 a pizza, how many players a

qwelly [4]

9.

4-1/2:1/2=9 or

9x1/2=4-1/2

4 0

3 years ago

What is the product of 1 1/2 and -1 1/4 enter your answer as a mixed number in simplified form

Anastaziya [24]

The answer is -1 7/8 in lowest terms.

7 0

3 years ago

The recipe says he needs 450 grams of rice for 6 people

Fynjy0 [20]

Answer:

1.35kg

Step-by-step explanation:

450g : 6 people

x : 18 people

To get from 6 to 18, multiply by 3 so do the same to the other side

450 × 3 = 1350g

To convert from g to kg divide by 1000

1350 ÷ 1000 = 1.35kg

5 0

3 years ago

Bob can ride his bike 6.5 miles in 20 minutes what is the rate of speed in miles per hour

vladimir2022 [97]

Answer:

19.5 miles per hour

Step-by-step explanation:

We need to change 20 minutes to hours

1 hours = 60 minutes

20 minutes * 1 hour/60 minutes = 1/3 hour

To find miles per hour we take the miles and divide by hours

6.5 miles

---------------- = 19.5 miles per hour

1/3 hours

7 0

4 years ago

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