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ra1l [238]
2 years ago
11

GCSE MATHS PLEASE HELP

Mathematics
2 answers:
SpyIntel [72]2 years ago
3 0

Answer:

A) y = 16/(x^2), B) 4/5

Step-by-step explanation:

For A, we can plug in some of the table values to check it. I will try 2 and 3

2. 4 = 16 / (2^2)

    16/4 = 4

3. 16/9 = 16 / (3^2)

   16/9 = 16/9

B) We can just input y into the formula 25 = 16 / (x^2)

This leaves us with +-4/5

Arisa [49]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

(a)

given y varies inversely as x² then the equation relating them is

y = \frac{k}{x^2} ← k is the constant of variation

to find k substitute any ordered pair from the table into the equation

using (2, 4 ) , then

4 = \frac{k}{2^2} = \frac{k}{4} ( multiply both sides by 4 )

16 = k

y = \frac{16}{x^2} ← equation of variation

(b)

when y = 25 , then

25 = \frac{16}{x^2} ( multiply both sides by x² )

25x² = 16 ( divide both sides by 25 )

x² = \frac{16}{25} ( take the square root of both sides )

x = ± \sqrt{\frac{16}{25} } = ± \frac{4}{5}

the positive value of x is x = \frac{4}{5}

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Step-by-step explanation:

a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...

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The cost in dollars for removing p percent of pollutants from a river in Smith County is?
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The purpose of the grid is to help you record possible and impossible combinations. The repeat of the headings 1st, 2nd, 3rd, 4th helps you compare to both shirt color and name.

Each given statement has certain implications. You are expected to be able to determine as many of those as you can, and mark the grid accordingly.

The first statement says two girls slide down before two other girls. This means the first two girls listed cannot be 3rd or 4th in line, and the last two girls listed cannot be 1st or 2nd in line. It also means that none of the named girls is wearing the blue shirt (so Madeline must be wearing it). These implications are marked in the attachment with X and a circled 1, to indicate to you that the first statement was where we got the X. The X is used to signify an impossible combination.

The second statement tells you the purple shirt will not be 3rd or 4th in line, since at least two girls are after it. It tells you that Alexis is not wearing purple or yellow (so must be wearing white), and it tells you that Alexis and the yellow shirt are not first in line. (We alread knew that about Alexis.)

The third statement lets you finish the problem. We just found that Alexis is wearing the white shirt, so it tells you Madeline is 2nd in line and Alexis is 3rd. (Alexis is 3rd or 4th, but so is Lauren. The only way Madeline can be next to Alexis is for Madeline to be 2nd and Alexis 3rd.) The check marks labeled with a circled 3 are the conclusions we drew from statement 3.

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It is a good idea to check your final answer with the original problem statements to make sure the answer is consistent with them.

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