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3 years ago

14

A given line has the equation .

1 answer:

SSSSS [86.1K]3 years ago

4 0

Answer:

A. Y = -6X + 9

Step-by-step explanation:

Solving for y, we can find the slope of the given line. It is the coefficient of x, 1/6.

-12y = -2x -1

y = 1/6x +1/12

The perpendicular line will have a slope that is the negative reciprocal of this:

m = -1/(1/6) = -6

The y-intercept will be the y-value corresponding to x=0. That value is b=9, given to us by the point the line is to go through. So, we have the slope-intercept form ...

y = mx + b

y = -6x + 9

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1.) Simplify the expression.

miss Akunina [59]

Answer:

$sin ( u +\frac{\pi}{2} ) = cos (u)$

Step-by-step explanation:

Let us use the identity

sin(A+B)= cos(A) sin(B)+cos (B) sin(A) to simplify the given expression

Then

$sin(u + \frac{\pi}{2})= \cos \left(u\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(u\right)$ --------------------(1)

Here

$cos (\frac{\pi}{2}) = 0\\$ ---------------------(2)

$sin(\frac{\pi}{2})= 1$ ---------------------(3)

Substituting the values in (1)

$sin(u + \frac{\pi}{2})= \cos \left(u\right)(1)+(0)\sin \left(u\right)$

$sin(u + \frac{\pi}{2})= \cos \left(u\right) + 0$

$sin(u + \frac{\pi}{2})= \cos \left(u\right)$

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3 years ago

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Nookie1986 [14]

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4 years ago

11 less than 3 times a number is the same as 75 less than the product of minus 1 and the number what is the value of the number

DaniilM [7]

Answer:

(-16)

Step-by-step explanation:

Let the number = x

11 less than 3 times a number: 3x -11

75 less than the product of minus 1 and the number: (-1)*x - 75 = -x -75

3x - 11 = -x -75

3x -11 +x = -75

4x - 11 = -75

4x = -75 +11

4x = -64

x = -64/4

x = -16

4 0

4 years ago

CAN SOMEONE PLEASE HELP ME

Leona [35]

Answer:

x=78

Step-by-step explanation:

All angles together =180

Because the lines are congruent (small lines on the sides) the angles are the same so

24+2x=180

2x=156

x=78

7 0

3 years ago

A farmer has found that the length of string beans he grows follows a normal distribution, having a mean of 12 cm, and a standar

Mariulka [41]

μ = 12; σ = 1.17

<span>z = ( 9 - μ ) / σ = -2.5641
</span>
<span>z = ( 15 - μ ) / σ = 2.5641
</span>
<span>P (9 < x < 15) = P (-2.5641 < z < 2.5641) = 0.9897 = 98.97%</span>

7 0

3 years ago