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Norma-Jean [14]
3 years ago
13

Write the equation of the line that passes through (8,1) and is perpendicular to the line whose equation is y=−4x+2. Show all wo

rk below and place it in Slope Intercept Form.
Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Answer:

\displaystyle y = \frac{1}{4}x - 1

Step-by-step explanation:

1 = ¼[8] + b

2

\displaystyle -1 = b \\ \\ y = \frac{1}{4}x - 1

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −4 becomes ¼.

I am joyous to assist you anytime.

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Find all values of x in the interval [0, 2π] that satisfy the equation. <br><br>6sin²(x) = 3
34kurt

Answer:

The solutions are π/4, 3π/4,5π/4,7π/4

Step-by-step explanation:

The given equation is

6sin²(x) = 3

Divide by 6 to get:

{ \sin}^{2} (x) =  \frac{1}{2}

This implies that;

\sin(x) = \pm  \frac{ \sqrt{2} }{2}

If

\sin(x) = \frac{ \sqrt{2} }{2}

x =  \frac{\pi}{4}

in the first quadrant

x =  \frac{3\pi}{4}

in the second quadrant.

If

\sin(x) = -  \frac{ \sqrt{2} }{2}

x =  \frac{5\pi}{4}

in the third quadrant

x =  \frac{7\pi}{4}

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3 years ago
What do I get if I divide 1 by 5/13 as an improper fraction​
Tasya [4]

Answer:

15/13

Step-by-step explanation:

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4 0
2 years ago
Can someone help me with number 4 please!!
Katarina [22]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
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nirvana33 [79]

Answer:

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Step-by-step explanation:

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3 years ago
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The value of x for both angles to be vertically opposite is 27

<h3>Vertical angles</h3>

The measure of vertical angles are equal and they are angles that meet at the point of intersection of two lines.

In order to determine the value of x, we will equate both angles to have;

2x = 54

Divide both sides by 2

2x/2 = 54/2

x = 27

Hence the value of x for both angles to be vertically opposite is 27

Learn more on vertical angles here; brainly.com/question/4191966

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2 years ago
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