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3 years ago

5.5.4

Mathematics

1 answer:

daser333 [38]3 years ago

3 0

Answer:

y = 208

Step-by-step explanation:

We need to solve this problem, we need to interpret the question

y varies inversely means 1/

y varies inversely with the square of x

That's y varies /x^2

To equate it, we need to add a constant K

y = K * 1/x^2

y = K/x^2

As we've been provided with some information

y = 13

x = 2

Inserting into

y = K/x^2

13 = K/2^2

13 = K/4

K = 13 * 4

K = 52

Our constant is 52

Provided on the another information we are given to find y, x = 0.25

Using the same formula

y = K/x^2

K = 52

x = 0.25

y = 52/0.25

y = 208

The new value of y is 208 when x = 0.25

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3 years ago

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Prove that P(2,3), (3, 4), R(5, 6) and S(4,5) are the vertices of a rhombus

MatroZZZ [7]

Solution :-

Given coordinates to us are ,

P(2,3) .
Q(3,4).
R(5,6)
S(4,5)

Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .

We will use Distance Formula .

Now , here ,

Distance between P and Q :

⇒ x = √ (2 - 3)² + (3-4)² .

⇒ x = √ (-1)² + (-1)² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

Distance between Q and S :

⇒ x =√ [ (3-4)² + (5-4)².

⇒x = √ 1² + 1² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

Similarly we can prove other distances equal.

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4 years ago