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pychu [463]
2 years ago
9

100 POINTS!!!!

Mathematics
2 answers:
Svetllana [295]2 years ago
7 0

QUESTION:

Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by drawing line segments and . Then construct the perpendicular bisectors of and , and name the point of intersection of the perpendicular bisectors O. How do you know that point O is the center of the circle that passes through the three points?

ANSWER:

When we join all three points (D, E, F) then it forms a Δ DEF.

Now, Let the midpoint of EF be M and the midpoint of ED be N and Join point I to E, D and F.

Because, IN is both an altitude and median to Δ EID, then Δ EID is an isosceles triangle, and IE = ID.

Similarly, we see that IE = IF.

So, we can conclude that,

  • IE = ID = EF.

Hence, O is the center of the circle with radius IE, ID or EF.

NOTE: See picture attached.

weeeeeb [17]2 years ago
5 0

Answer:

O is the center of the circle with radius IE(=ID=EF)

Step-by-step explanation:

Join all 3 points D, E, F, forming the triangle DEF.

Let the midpoint of EF be M and the midpoint of ED be N. (first picture)

Join point I to E, D and F.

Since IN is both an altitude and median to triangle EID, then triangle EID is an isosceles triangle, and IE=ID

similarly, we see that IE=IF.

conclusion: IE=ID=EF.

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alexandr1967 [171]

Answer:

4) 3.

Step-by-step explanation:

According to the graph, f(x) has been shifted two units to the right and 3 units up. k is the number of units f(x) has been shifted vertically. So, the value of K is 4) 3.

Hope this helps!

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Which digit tells you whether a number will be rounded up or down?
barxatty [35]
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Write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi
IRISSAK [1]

Answer:

72π (in terms of pi)

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V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

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If you need the answer fully simplified, it is 226.19 (rounded up).

3 0
2 years ago
Question 1- Whats the derivative of: A) f(x)= 4 cos(x) + ln(x+1)<br> B) f(x)= sec(x) X tg(x)
Kryger [21]

The derivatives for this problem are given as follows:

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<h3>What is the derivative of the sum?</h3>

The derivative of the <u>sum is the sum of the derivatives</u>.

In this problem, the function is:

f(x) = 4\cos{x} + \ln{(x + 1)}

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

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The derivative of the product is given as follows:

(f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)

In this problem, we have that:

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Hence the derivative is:

f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}.

More can be learned about derivatives at brainly.com/question/2256078

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4 0
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8 0
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