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Rainbow [258]
3 years ago
12

Write an equation for a linear function whose graph has the given characteristics.

Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0
G(x) = 6x + 2....the slope here is 6. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal slope, we flip the original slope and change the sign. So our perpendicular line will have a slope of -1/6. (see how I flipped 6 (or 6/1) and made it 1/6, then I changed the sign and made it -1/6)

y = mx + b
slope(m) = -1/6
(42,0)....x = 42 and y = 0
now we sub and find b, the y int
0 = -1/6(42) + b
0 = -7 + b
7 = b

so ur perpendicular equation is : y = -1/6x + 7....or f(x) = -1/6x + 7


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Answer:

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Step-by-step explanation:

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3 years ago
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Decompose -6x/(x+2)(x+8) into partial fractions.
kari74 [83]

The partial fraction expansion takes the form

-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = <em>a</em>/(<em>x</em> + 2) + <em>b</em>/(<em>x</em> + 8)

Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.

Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:

-6<em>x</em> = <em>a</em> (<em>x</em> + 8) + <em>b</em> (<em>x</em> + 2)

Expand the right side and collect terms by powers of <em>x</em> :

-6<em>x</em> = (<em>a</em> + <em>b</em>) <em>x</em> + (8<em>a</em> + 2<em>b</em>)

It follows that

<em>a</em> + <em>b</em> = -6   and   8<em>a</em> + 2<em>b</em> = 0

==>   <em>a</em> = -2   and   <em>b</em> = 8

So we end up with

-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = -2/(<em>x</em> + 2) + 8/(<em>x</em> + 8)

8 0
3 years ago
Last one will give brainly to who answers fast +++++++<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5x%20-%204%7D%20%20%3D%
stepan [7]

Answer:

the answer I got is 8...........

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Answer:

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K
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Answer:

Just to say I am sorry but I got to see the picture to help I am not a reader I am a looker

Step-by-step explanation:

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