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Viefleur [7K]
3 years ago
12

Select the correct answer from the drop-down menu. Consider this system of linear equations: y − x = -13 -4x + 3y = -51 The solu

tion of the system of equations is .
Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Answer:

b

Step-by-step explanation:

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John and Jim painted a
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1/4+5/12=3/12+5/12=8/12=4/6=2/3

they painted 2/3 of the fence
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3 years ago
One end of a line segment has the coordinates (-6,2). If
CaHeK987 [17]

Answer:

The coordinates of the other end is (16,2)

Step-by-step explanation:

Given

End 1: (-6,2)

Midpoint: (5,2)

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

So

x = \frac{x_1 + x_2}{2} and y = \frac{y_1 + y_2}{2}

Where (x_1,y_1) = (-6,2) and (x,y) = (5,2)

So, we're solving for (x_2,y_2)

Solving for x_2

x = \frac{x_1 + x_2}{2}

Substitute 5 for x and -6 for x₁

5 = \frac{-6 + x_2}{2}

Multiply both sides by 2

2 * 5 = \frac{-6 + x_2}{2} * 2

10 = -6 + x_2

Add 6 to both sides

6 + 10 = -6 +6 +  x_2

x_2 = 16

Solving for y_2

y = \frac{y_1 + y_2}{2}

Substitute 2 for y and 2 for y₁

2 = \frac{2 + y_2}{2}

Multiply both sides by 2

2 * 2 = \frac{2 + y_2}{2} * 2

4 = 2 + y_2

Subtract 2 from both sides

4 - 2 = 2 - 2 + y_2

y_2 = 2

(x_2,y_2) = (16,2)

Hence, the coordinates of the other end is (16,2)

3 0
3 years ago
Is (8,2) a solution for the system 2y=x-12
erica [24]
I hope this helps you

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3 years ago
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4 0
3 years ago
A pound of guinea pig pellets is about 3 cups of food.Each guinea pig eats 1/4 cup is pellets a day. How many days will the pell
kompoz [17]

Answer:

The pellet will last after 12 days

Step-by-step explanation:

* Lets change the story problem to equations to solve it

- There is a pound of guinea pig pellets

- One pound of pellets is about three cups of food

- Each guinea pig eats 1/4 cup of pellets a day

* Lets use these information to solve the problem

∵ One pound of guinea = 3 cups of food

∵ The guinea pig eats 1/4 cup a day

- The pig can finish one cup in four days

∵ The number of days = number of cups ÷ the eaten in a day

∵ The number of cup = 3 cups

∵ The eaten pellets in a day = 1/4

∴ The number of days = 3 ÷ 1/4 = 3 × 4/1 = 12 days

* The pellet will last after 12 days

4 0
3 years ago
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