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2 years ago

What is the relationship between segment EB and segment FB in the construction of an angle bisector?

Mathematics

2 answers:

muminat2 years ago

7 0

They both contain the point B, also B is the vertex of angle EBF or FBE

erik [133]2 years ago

4 0

They are both midpoints. Midpoints have to be equidistant from, in this case B, so this therefore makes them midpoints.

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Which equation represents a line that passes through the point (−2, 6) and is parallel to the line whose equation is 3x − 4y = 6

mart [117]

Method 1: Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.

Thus, the equation of the new line is 3(-2) − 4(6) = C, where C comes out to 30.

Then the new line is 3x - 4y = 30.

8 0

2 years ago

If m(x) = x+5/x-1 and n(x) = x — 3, have the same domain as (m • n) (x)

Yuri [45]

For this case we have the following functions:

$m (x) = \frac {x + 5} {x-1}\\n (x) = x-3$

By definition we have to:

$(f * g) (x) = f (x) * g (x)$

So:

$(m * n) (x) = m (x) * n (x)\\(m * n) (x) = \frac {x + 5} {x-1} (x-3)\\(m * n) (x) = \frac {(x + 5) (x-3)} {x-1}$

By definition, the domain of a function is given by the values for which the function is defined.

The domain of m(x) is given by all reals except 1.

The domain of n(x) is given by all reals.

While the domain of $(m * n) (x)$ is given by:

All reals, except the 1. With $x = 1$ , the denominator is 0 and the function is no longer defined.

Answer:

Domain of $(m * n) (x)$ is given by all reals except 1.

8 0

3 years ago

PLEASE HELP!!!! asap

Talja [164]

Answer:

Step-by-step explanation:

6 0

2 years ago

How to solve 6x - 9 - 2 (1 - x) = x + 9

Likurg_2 [28]

$x = 2.857$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857$

${ \bf{ \underbrace{To\:verify:}}}$

$6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S$

Hence verified.

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

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2 years ago

Let f(x) = 1/x. Find a number b so that the average rate of change of f on the interval

Bezzdna [24]

Answer:

huh try multiplying

Step-by-step explanation:

6 0

3 years ago