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antiseptic1488 [7]
3 years ago
11

Draw the segment PQ with endpoints P(-2, -1) and Q(2,4) on the coordinate plane. Then find the length and midpoint of PQ.

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

The graph of the line segment PQ is attached. To find the length, we have to use distance formula which is

d = \sqrt{ (x_{2} -x_{1} )^2 + (y_{2} - y_{1} )^2  }

PQ = \sqrt{ (2-(-2))^2 + (4- (-1))^2 } = \sqrt{ (2+2)^2 + (4+1)^2 }

PQ = \sqrt{16+25} = \sqrt{41}

To find the midpoint,we have to use the formula

( \frac{x_{1}+ x_{2} }{2} ,\frac{y_{1}+ y_{2} }{2} ) = (\frac{-2+2}{2} , \frac{-1+4}{2} )

= ( \frac{0}{2} , \frac{3}{2} ) = (0 , \frac{3}{2} )

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14/2 three equivalent ratios
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Answer:

Three equivalent ratios of  \frac{14}{2} are \frac{7}{1}, \frac{21}{3} and \frac{28}{8}.

Step-by-step explanation:

We are given a fraction \frac{14}{2}.

We need to find the three equivalent ratios/fractions of \frac{14}{2}.

The common factor of 14 and 2 is 2.

So, dividing top and bottom by 2, we get

14÷2 = 7 and 2÷2 that is \frac{7}{1}.

Multiplying \frac{7}{1} fraction by a common number 3 in top and bottom, we get

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So, we get another equivalent fraction \frac{21}{6}.

Multiplying \frac{7}{1} fraction by a common number 3 in top and bottom, we get

7 × 4 = 28

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So, we get another equivalent fraction \frac{28}{4}.

Therefore, three equivalent ratios of  \frac{14}{2} are \frac{7}{1}, \frac{21}{3} and \frac{28}{4}.

6 0
3 years ago
A landscaper receives a discount on each plant purchased. The original price of each plant is x dollars. The landscaper purchase
prisoha [69]

Answer:

$4

Step-by-step explanation:

Discount is a form of consideration in price or amount given to a customer on a sale of goods. It can be deduced from the question that;

The original price of each plant = $x

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Price of the number of plants purchased without discount = $20x

Amount paid for the 20 plants with discount = $(20x - 80)

Thus,

The discount on the 20 plants = $80

Discount on each plant = \frac{total discount on plants}{number of plants purchased}

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Discount on each plant = $4

Therefore, each plant was discounted by $4.

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