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koban [17]
3 years ago
11

Identify the segment bisector of MN Then find MN. ????????? Helppp pleaseee

Mathematics
1 answer:
enot [183]3 years ago
6 0

Given:

The figure.

To find:

The segment bisector of MN and value of MN.

Solution:

From the given figure it is clear that ray RP,i.e., \overrightarrow {RP} is the segment bisector of MN because it divides segment MN in two equal parts.

Now,

3\dfrac{5}{6}=\dfrac{3\times 6+5}{6}

3\dfrac{5}{6}=\dfrac{23}{6}

Since, \overrightarrow {RP} is the segment bisector of MN, therefore,

MN=2\times \dfrac{23}{6}

MN=\dfrac{23}{3}

MN=7\dfrac{2}{3}

Therefore, the length of MN is 7\dfrac{2}{3}.

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
What is the measurement of ∠G? Show your work.
san4es73 [151]

Answer:

x = 40

Step-by-step explanation:

The angles add to 180 degrees

30+110 +x = 180

Combine like terms

140 +x = 180

Subtract 140 from each side

140+x-140 =180-140

x = 40

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2 years ago
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The table shows the cost of a taxicab ride for several driving distances.
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Answer:

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3 years ago
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WRITING TO EXPLAIN, HOW COULD YOU USE 5 X 6 =30 TO FIND THE PRODUCT <br> OF 6 X6 ?
Vikentia [17]
Using 5*6=30, you can add 6 to the 30, which equals 36.

SO just add 6 to your answer of 5*6, the answer you will get is 36.
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3 years ago
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Sorry to waste time, but could you help? 5/3(4/3a+9b+2/3a) simplified, take your time! I’m not the best at math so :p
mixas84 [53]

Answer:

sorry I'm not that good at math either it's complicated

Step-by-step explanation:

5

3

(

4

3

⋅

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2 years ago
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