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3 years ago

6

Choose the correct simplification of f to the 9th power times h to the 23rd power all over f to the 3rd power times h to the 17t

h power

1 answer:

klio [65]3 years ago

7 0

If you subtract 3 from 9 you get 6, so it would be f^6 and if you subtract 17 from 23 you get 6 also, so it would be h^6

f^6h^6, I believe the answer is c.

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Find the missing coordinate to complete the ordered-pair solution to the given linear equation.

ad-work [718]

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*note that the first number is always the x.
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a) (0,?)
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b) (3,?)
y=7(3)+1
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3 years ago

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Korolek [52]

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3 years ago

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3 years ago

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Which zero pair could be added to the function f(x)=x2+12x+6 so that the function can be written in vertex form?

alex41 [277]

Find the vertex.

x=b/-2a

12/-2(1)
x=-6

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8 0

3 years ago

8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4

nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1$

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 $\times$ slope of perpendicular line = -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)$

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

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4 years ago