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Anni [7]
1 year ago
6

What is the slope of a line perpendicular to the line whose equation is 6x+2y=−32. Fully simplify your answer.

Mathematics
1 answer:
Reika [66]1 year ago
5 0

The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.

<h3>What is the Slope of Perpendicular Lines?</h3>

The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.

Rewrite 6x + 2y = -32 in slope-intercept form:

2y = -6x - 32

2y/2 = -6x/2 - 32/2

y = -3x - 16

The slope is -3. Negative reciprocal of -3 is 1/3.

Therefore, the slope of the perpendicular line would be: 1/3.

Learn more about the slope of perpendicular lines on:

brainly.com/question/1362601

#SPJ1

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The sum of a number and 6% of itself is 42.4. find the number
kvasek [131]

Answer:

40

Step-by-step explanation:

6% of number = 6/100 × x = 6x/100 = 3x/50

Sum of the number and 6% of itself = 42.4

x + (3x/50) = 42.4

(50x+3x)/50 = 42.4

53x = 42.4 × 50

53x = 2120

x = 2120/53

x = 40


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Did you know how to solve this could you help me

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Whats the slope of (2,-5),(-6,5)​
Makovka662 [10]
The slope of the line with the points (2,-5) and (-6,5) is 5/-4 (or 10/-8).
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What is the answer to this problem
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Answer:

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Step-by-step explanation:

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3 years ago
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Find sin() and cos(), tan() and cot(), and sec() and csc(). webassign plot (a) sin() and cos() (b) tan() and cot() (c) sec() and
motikmotik

The values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

<h3>How to evaluate the trigonometry functions?</h3>

The figure that completes the question is added as an attachment

From the figure, we have the third side of the triangle to be

Third = √(7^2 - 4^2)

Evaluate

Third = √33

The sin(α) is calculated as:

sin(α) = Opposite/Hypotenuse

This gives

sin(α) = 4/7

The cos(β) is calculated as:

cos(β) = Adjacent/Hypotenuse

This gives

cos(β) = 4/7

The tan(α) is calculated as:

tan(α) = Opposite/Adjacent

This gives

tan(α) = 4/√33

The cot(β) is calculated as:

cot(β) = Adjacent/Opposite

This gives

cot(β) = 4/√33

The sec(α) is calculated as:

sec(α) =  Hypotenuse/Adjacent

This gives

sec(α) = 7/√33

The csc(β) is calculated as:

sec(β) = Hypotenuse/Opposite

This gives

sec(β) = 7/√4

Hence, the values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

Read more about trigonometry functions at

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4 0
1 year ago
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