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3 years ago

21 squared +19 squared equals H

Mathematics

1 answer:

ira [324]3 years ago

3 0

The answer to that would be 460. That means H=460

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If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

$h(x)=f\circ g(x)$

Here,

$h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}$

We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

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3 years ago

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3 years ago

Choose the graph below that has an undefined slope.

Ronch [10]

Answer:

The correct option is A.

Step-by-step explanation:

The first line passing through the points (-6,2) and (-6,0).

The slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of first line is

$m_1=\frac{0-2}{-6-(-6)}=\infty$

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

$m_2=\frac{1-(-4)}{-1-0}=-5$

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

$m_3=\frac{-6-(-6)}{2-0}=0$

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is

$m_4=\frac{-7-6}{-3-0}=\frac{13}{3}$

Since the slope of a vertical line is infinity, Therefore option A is correct.

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3 years ago

Are 2/3 and 5/6 equivalent ratios. Justify your answer

Natali5045456 [20]

No because u would multiply to get a common denominator and it would be 4/6 5/6

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