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Alex777 [14]
3 years ago
6

Find the base and height of a rectangle with vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1). The height is units. The base is u

nits.

Mathematics
2 answers:
julia-pushkina [17]3 years ago
8 0

Answer: The base is 2 units and the height is 6 units.

Step-by-step explanation:

You can plot the points  (-4, 7), (-2, 7), (-2, 1), and (-4, 1) and obtain the rectangle shown in the figure attached.

As you can see in the figure, the distance between the points of the base is:

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

Then the lenght of the base is 2 units

The distance between the points of the height is:

 d=\sqrt{(-2-(-2))^2+(1-7)^2}\\d=6

Then the height is 6 units

vovikov84 [41]3 years ago
6 0

ANSWER

The height is 6 units.

The base is 2 units.

EXPLANATION

The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

To find the height of the rectangle, we use the points (-2,7) and (-2,1) or

(-4,7) and (-4,1) because they form the vertical side of the rectangle.

The height is

|7-1|=6 units

To find the base, use the points (-2,7) and (-4,7) or (-2,1) and (-4,1).

The base is

|-2--4|=2 units

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Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

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This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

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subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

a = -6

Therefore , the 17th term of the sequence will be :

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t_{17} = -6 + 16 (6)

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Let us have the constant term as k

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xy = k

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xy = 45

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if y is a function of x, we can have it as;

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