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Kruka [31]
3 years ago
7

Which function pass through the points (1, 4), (2, 9), and (3, 16)?

Mathematics
1 answer:
swat323 years ago
8 0

ANSWER

y=  {(x+ 1)}^{2}

EXPLANATION

The given points are:

(1, 4), (2, 9), and (3, 16)

It is obvious that the function is not linear because there is no constant difference among the y-values.

We can however manipulate the y-values to quickly identify the function.

4 =  {2}^{2}  =  {(1 + 1)}^{2}

9=  {3}^{2}  =  {(2 + 1)}^{2}

16=  {4}^{2}  =  {(3 + 1)}^{2}

We can infer from the pattern that, the function is;

y=  {(x+ 1)}^{2}

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3 years ago
11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.​
tamaranim1 [39]

Answer:

R(16,-8)

Step-by-step explanation:

if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.

then x=(x1+x2)/2

and y=(y1+y2)/2

let coordinates of R are (x,y)

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3 years ago
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Answer:

x = 6.99in

Step-by-step explanation:

Given

l =2in

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See attachment for prism

Required

Find x

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The base area is calculated as:

Base\ Area= \frac{3\sqrt 3}{2}l^2

This gives:

Base\ Area= \frac{3\sqrt 3}{2} * 2^2

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Side x represents the height.

So, we have:

Volume = Base\ Area*x

Make x the subject

x = \frac{Volume }{ Base\ Area}

x = \frac{72.66in^3}{6\sqrt 3 in^2}

x = \frac{72.66}{6\sqrt 3}in

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6 0
3 years ago
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