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Ira Lisetskai [31]
2 years ago
15

Find the value of x. (Picture attached.)

Mathematics
1 answer:
Svet_ta [14]2 years ago
5 0

Here, triangle AEN and ALG are similar.


We know that the ratio of corresponding sides of two similar triangles are equal. So,

\frac{21}{42} =\frac{2x-9}{(2x-9)+(x+7)}\\\\\frac{1}{2} =\frac{2x-9}{3x-2}\\\\ 3x-2=4x-18\\\\-2+18=4x-3x\\\\16=x\\\\x=16\\

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h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

6 0
3 years ago
Please help I dont understand​
Kitty [74]

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

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1. y - 4x = 8

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y = 7x - 2 is not a direct variation

3. y - 3x = 0

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8 0
2 years ago
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Nana76 [90]

Answer:

34

Step-by-step explanation:

that what i think

8 0
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Nezavi [6.7K]

Answer:

Your answer would be 9

Step-by-step explanation:

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