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algol [13]
1 year ago
10

Giveing out 100 points to whoever gets it right! Need help soon!

Mathematics
1 answer:
RSB [31]1 year ago
5 0

Answer:

225.5 sq. mm

Step-by-step explanation:

triangle:5x(9+4+4+4)=15x21÷2=157.5

5x(4+4)=5x8=40

7x4=28

157.5+40+28=157.5+68=225.5

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<h2>Answer:</h2>

A rate of change tells us  how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:

Rate \ of \ Change=\frac{Change \ in \ y}{Change \ in \ x}

For linear functions. the rate of change is the slope of the line. Thus:

FOR THE TABLE:

By taking two points we can get the rate of change, so let's take (1,5) \ and \ (2,7):

ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{7-5}{2-1} \\ \\ ROC=\frac{2}{1} \\ \\ \boxed{ROC=2}

FOR THE GRAPH:

Let's take (1,1) \ and \ (2,4):

ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{4-1}{2-1} \\ \\ ROC=\frac{3}{1} \\ \\ \boxed{ROC=3}

As you can see, 3>2 so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>

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3 years ago
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Elanso [62]

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Evaluate the indefinite integral of: arctan(4x) dx.
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Here we have to find the coordinates of the circumcenter of a triangle.

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C= ( 2,5)

The formula to find the distance between the two points:

Distance = \sqrt{(x2 - x1)^{2} + (y2-y1)^{2} }

In the same manner distance between AB, BC, and AC are:

AB = \sqrt{(2-0)^{2} + (1-1)^{2}  }

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AC = \sqrt{(2-0)^{2} + (5-1)^{2} }

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So by the Pythagoras, we get to know that the triangle is a right-angle triangle.

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Therefore the coordinate of the circumcenter is (1,3).

To know more about the circumcenter refer to the link given below:

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The Answer is -0.4375

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