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Fofino [41]
3 years ago
5

9) State the coordinates of the endpoints of a line segment that intersects the y-axis.

Mathematics
1 answer:
eduard3 years ago
7 0

Answer:

(5,4) and (3,4)

Step-by-step explanation:

A line segment has 2 end points which can be denoted as:

(x_1,y_1) and (x_2,y_2)

When this line segment intersects at y.

This means that the coordinate on the y axis is the same at both end points

i.e.

y_1 = y_2 = y

(x_1,y_1) and (x_2,y_2) becomes (x_1,y) and (x_2,y)

x1 and x2 can be any value but the y value must remain unchanged

Using the above analysis, a possible coordinate is:

(5,4) and (3,4)

Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form (x_1,y)<em> and </em>(x_2,y)<em />

Take for instance, another possible pair is:

(1,-3) and (0,-3)

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
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Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Kit bought a soft drink and a sandwich for 9.00 what was the price of each ifnthe sandwich cost 3.5 times as much as the soft dr
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
kati45 [8]

Answer:

596.34m approx

Step-by-step explanation:

Given data

Let the Starting point be x

A helicopter flew north 325 meters from x

Then flew east 500 meters

Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position

x^2= 325^2+500^2

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x= √355625

x=596.34m

Hence the distance from the starting point is 596.34m approx

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Step-by-step explanation:

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Step-by-step explanation:

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