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AVprozaik [17]
3 years ago
5

The sum of three consecutive terms x, y and z of an arithmetic progression is 45. If y=1/2(x+z), find the value of y.​

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

y = 15

Step-by-step explanation:

x + y + z = 45 → (1)

Given

y = \frac{1}{2}(x + z)

Multiply both sides by 2 to clear the fraction

2y = x + z ← substitute into (1)

2y + y = 45

3y = 45 ( divide both sides by 3 )

y = 15

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A rectangle has perimeter 20m. Express the area of the rectangle as a function of the length of one of its sides.
MArishka [77]
<h2>Area of rectangle is 10L-L²</h2>

Step-by-step explanation:

Let L be the length and W be the width.

Perimeter of rectangle = 2 ( L + W )

That is

           2 ( L + W ) = 20

               L + W = 10

                     W = 10 - L

We need to express the area of the rectangle as a function of the length of one of its sides.

           Area = Length x Width

              A = LW

               A = L(10 - L) = 10L-L²

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Answer:

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Step-by-step explanation:

This figure is a trapezoid with bases of 10 ft and 6 ft and height of 3 ft.

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What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through
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Let's convert the equation in point-slope form to slope-intercept form.

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Input the coordinate point and solve for b.

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Nostrana [21]
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ollegr [7]

Answer:

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7 0
3 years ago
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