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3 years ago

If y varies inversely with 2.5x, and y=5.6 and x=30, write an equation to represent this relationship

1 answer:

3 0

Let the constant of variation be c.
We are given that y varies inversely with 2.5x, this means that:
y = (c) / (2.5x)
This can be written as:
2.5xy = c

Now, we a re given that y = 5.6 at x = 30.
Substitute with these values in the equation to get the value of c as follows:
2.5xy = c
2.5(30)(5.6) = c
c = 420

Therefore, the equation that describes the relation is:
2.5xy = 420

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A meter is 3.37 inches more than a yard swimmer a swims 100 meters and swimmer b swims 100 yeards how many more feet did swimmer

olga_2 [115]

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1 yard is 3 feet, so 100 yards are 300 feet.

100 in is 8.33 feet so
337 in is (337*8.33)/100=28.07 feet

Swimmer b swims 100 yards, which is 300 feet

Swimmer a swam 28.07 feet.

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3 years ago

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3 years ago

Rectangle ABCD has vertices at A(−3,1),B(−2,−1),C(2,1), and D(1,3). What is the area, in square units, of this rectangle?

lilavasa [31]

Answer:

B. 10

Step-by-step explanation:

To find the area of this rectangle, we will simply find the distance AB and then find the distance BC, then multiply both together.

First, we will find the distance AB

A(-3,1), B(-2, -1)

Using the distance formula;

|AB| = √(x₂ - x₁)² + (y₂ - y₁)²

x₁= -3 y₁ = 1 x₂ = -2 y₂ = -1

|AB| = √(-2 + 3)² + (-1 - 1)²

=√(1)² + (-2)²

= √1 + 4

= √5

Next, we will find the distance BC

B(-2, -1) C(2, 1)

Using the distance formula;

|BC| = √(x₂ - x₁)² + (y₂ - y₁)²

x₁= -2 y₁ =- 1 x₂ = 2 y₂ = 1

|AB| = √(2 + 2)² + (-1 - 1)²

=√(4)² + (-2)²

= √16 + 4

= √20

Area of the rectangle ABCD = |AB| . |BC|

= √5 × √20

= √5×20

=√100

=10

Area of the rectangle ABCD = 10 square units

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3 years ago