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Ad libitum [116K]
2 years ago
8

The length of a rectangle is 5 meters less than its width. The perimeter is 78 meters. Find the dimensions of the rectangle

Mathematics
1 answer:
Alika [10]2 years ago
6 0

Answer:

above is the solution to the question

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Find the perimeter of the figure. You must show all your work to receive full credit
Usimov [2.4K]

Answer:

32.2 units

Step-by-step explanation:

The perimeter of the figure = AB + BC + CD + DE + EF + FA

AB = |5 - 11| = 6 units

BC = |-8 - 0| = 8 units

CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

C(11, 0) = (x_1, y_1)

D(6, -3) = (x_2, y_2)

CD = \sqrt{(6 - 11)^2 + (-3 - 0)^2}

CD = \sqrt{(-5)^2 + (-3)^2}

CD = \sqrt{25 + 9} = \sqrt{34}

CD = 5.8 units (nearest tenth)

DE = |6 - 4| = 2 units

EF = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

E(4, -3) = (x_1, y_1)

F(0, -6) = (x_2, y_2)

EF = \sqrt{(0 - 4)^2 + (-6 -(-3))^2}

EF = \sqrt{(-4)^2 + (-3)^2}

EF = \sqrt{16 + 9} = \sqrt{25}

EF = 5 units

FA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

F(0, -6) = (x_1, y_1)

A(5, -8) = (x_2, y_2)

FA = \sqrt{(5 - 0)^2 + (-8 -(-6))^2}

FA = \sqrt{(5)^2 + (-2)^2}

FA = \sqrt{25 + 4} = \sqrt{29}

FA = 5.4 units (nearest tenth)

Perimeter = 6 + 8 + 5.8 + 2 + 5 + 5.4

= 32.2 units

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The graph of y=2x^2 is transformed into y=-2x^2+3 which of the following situations beat represets the effect of transformation
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Answer:

See below

Step-by-step explanation:

This is a reflection in the x axis ( the 2 ---> -2) and a translation up of 3 units  (The +3).

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Answer:

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Fraction that simplifies to 7/8. Numerator must be divisible by 5
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That is one of them.
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Step-by-step explanation:

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