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3 years ago

Write the equation for the following relation. A={(x,y):(1,2), (2,5), (3,8),...}

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

Answer:

y = 3x - 1

Step-by-step explanation:

Given the data set: (1, 2) (2, 5) and (3, 8), you first need to look for a constant difference in the values of x and y:

x: 1 2 3 (add '1' each time)

y: 2 5 8 (add '3' each time)

Rate of change (slope) can be found by dividing y/x:

3/1 = 3

Since y = 2 when x = 1, then y = -1 when x = 0.

Using slope-intercept formula: y mx + b

y = 3x - 1

Veronika [31]3 years ago

3 0

I just tried working this one out and I can’t find the answer. Maybe nothing further can be determined that I know so far.

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What is the x-intercept and the y-intercept for x+2y=8

Ierofanga [76]

To find the x-intercept, you need to set y equal to zero(think about this on a graph!)
This will become:
x + 2(0) = 8
If we remove the unnecessary zero:
x = 8
That's the x intercept, which can be expressed as the point (8,0).

To find the y-intercept, you need to set x equal to zero(again, think about that on a graph!)
This becomes:
0 + 2y = 8
Remove the unnecessary 0:
2y = 8
Divide both sides by 2:
y = 4
There ya go! Or, in point form: (0, 4)

Hope this helped! :)
~Chrys

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3 years ago

Find the value of (-15/8 + 1.5) = (15 – 14 3/4)? * -3/2 0 -3/32 O 3/32 O 3/2

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Answer:

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Step-by-step explanation:

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2 years ago

The length of a rectangular garden is 4 less than twice the width find the perimeter and area of the garden

sergeinik [125]

Answer:

Let w be the width. Then the length is 2w-4. So:

w(2w-4)=96

2w²-4w-96=0

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2 years ago

A, b, c, and d please

DIA [1.3K]

<h2>Answers / Step-by-step explanation:</h2><h3>a. What is the length of one side of the square.</h3>

Looking at the image, the radius (r) of the circle appears to cover half of the length of a side of the square. Hence, the side of the square has a length of 2r.

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<h3>b. The formula A= πr² is used to find the area of a circle. The formula A=4r² can be used to find the area of the square. Write the ratio of the area of the circle to the area of the square in the simplest form.</h3>

$Ratio=\frac{\pi r^{2} }{4r^2} =\frac{\pi}{4}$ .

Notice that the value "r²" disappears from the expression because is being multiplied and divided by it at the same time.

$Ratio=\frac{4\pi }{16} =0.7854.$

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c. Complete the table.

To complete each cell of the table, simply take the equation of the asked parameter and substitute the value of r by the number indicated in the title of the column. For example, column 3 should be filled out like this:

Area of Circle (units²): π(3)²or 9π.

Length of 1 Side of the Square: 2r= 2(3)= 6.

Area of Square (units²)= 4r²= 4(3)²= 36.

Ratio: $\frac{\pi}{4}$ .

Do the same for all the other columns.

The answers to the table are presented on the attached image.

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d. What can you conclude about the relationship between the area of the circle and the square?

They will always have the same value, π/4, regardless of the size of the square and circle. As long as the circle borders meet the square's at the middle of each side of the square, the relationship will be the same.

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2 years ago

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Irina-Kira [14]

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3 years ago

Read 2 more answers