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Tamiku [17]
3 years ago
11

Can anyone help me with this problem? Thank you.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0
I have attached the solutions!! Please see the photo :)

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Can someone please explain how the answer is D
Kitty [74]

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

x =  |sx - tx|  \\ y =  |sy - ty|

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

{c}^{2}  =  {x}^{2}  +  {y}^{2} \\  {c}^{2}  =  {8}^{2}  +  {17}^{2} = 64 + 289  \\  {c}^{2}  = 353 \\ c =  \sqrt{353}

And finally, the correct answer is in fact 353.

3 0
2 years ago
1/x-2 graphed<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx-2%7D" id="TexFormula1" title="\frac{1}{x-2}" alt="\fra
bearhunter [10]

Answer:

Step-by-step explanation:

The given equation is expressed as

y = 1/(x - 2)

We will assume values for x and determine the corresponding values for y. Therefore,

When x = 0, y = 1/(0 - 2) = - 1/2

When x = 1, y = 1/(1 - 2) = - 1

When x = 2, y = 1/(2 - 2) = 0

When x = 3, y = 1/(3 - 2) = 1

When x = 4, y = 1/(4 - 2) = 1/2

To plot the graph, we would choose a suitable scale for the x and y axis of the graph.

Let 2 cm represent 1 unit on the vertical axis.

Let 2 cm represent 0.5 unit on the x axis.

The graph is shown in the attached photo

4 0
3 years ago
Your class is raising money for a field trip. Which graph could show the amount of money raised over time?
gogolik [260]

Answer:

Table, Formula

Step-by-step explanation:

4 0
2 years ago
Which equation will equal a rational number
Assoli18 [71]

The answer is c.4a4

6 0
3 years ago
If AB=BA= I then write the relation between matrix A and matrix B​
butalik [34]

Answer:

If  AB = BA = I, then B is inverse of A and vice-versa.

Step-by-step explanation:

Given: AB = BA = I

To find: The relation between matrix A and B.

If AB = BA = I, then B is called the inverse matrix of A and is denoted by A^{-1}.

In that case, A is said to be invertible.

Also, if B is the inverse of A, then A is also the inverse of B.

Hence, the relation between A and B is that both are inverse of each other.

6 0
3 years ago
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